The paranasal sinuses are lined with a membrane that creates mucus during allergies or the common cold. Presence of mucus and swelling of the membranes can cause a "sinus headache." If Regina has a cold and she feels the pain of a sinus headache inferior to her eyes, which bone is housing the affected paranasal sinus?

Answers

Answer 1

Answer:

The maxillary sinus, that is, the sinus located in the upper jaw, would be affected.

Explanation:

Sinusitis is a very traditional disease that is associated with headache, discomfort, and increased mucus making.

The causes can be viral or bacterial or even by some inhaled noxa, sinusitis of this type is bilateral, different from sinusitis of dental cause that are usually unilateral.

The paranasal sinuses are the sinuses that pneumatize the head, that is, they generate an internal air current in the bones to be able to heat and disinfect them from those noxas that are inhaled (that is why they are covered by a ciliated mucosa that drags the noxa to the outside and also its structure is pseostratified with mucous cells that secrete mucus enveloping the noxa).

Another function of the paranasal sinuses is to be able to alleviate the weight of the head, since the shell and the bones that remain in the head formation are very heavy, thus generating these cavities filled with air to alleviate the feeling of "heavy head" "When they become inflamed and filled with mucus, they are obliterated or with a reduced space, so the head feels heavier for some people.

The paranasal sinuses are the maxillary sinuses that are in the upper jaw, the sphenoid sinuses that are in the sphenoid, the ethmoid sinuses that are in the ethmoid and the frontal ones that are in the frontal bone that is vulgarly called as the forehead.


Related Questions

What is Aquatic Habitat​

Answers

habitat is physical enviroment in 2hich an animal or plant is usually found.

Answer:

An aquatic habitat is a habitat with water. It includes areas that are permanently covered by water and surrounding areas that are occasionally covered by water. Estuaries, rivers, and marshes are examples of aquatic habitats.

Explanation:

An aquatic ecosystem is an ecosystem in a body of water. Communities of organisms that are dependent on each other and on their environment live in aquatic ecosystems. The two main types of aquatic ecosystems are marine ecosystems and freshwater ecosystems.

Good luck. ... Brainliest please

The chromosome undergoes a transloation mutation during its replication. Which image best represents the translocation

Answers

Can you provide an image?

GEOLOGY Please help, need to turn it. Summarize the relationship between the composition, temperature, and volatile content of magmas and effusive vs. explosive eruptions.

Answers

Answer:

The classification of the single issue is outlined in the section represented in segment explanations below.

Explanation:

The highly unstable magma composition consists of small quantities of water as well as sewage, published as pressure decreases. The magmas established by regional metamorphism are also richly volatile in nature.The affectionate eruption has become a category of the explosion where the lava spreads rapidly at the on-the-surface eruption, individuals are most prevalent in sedimentary magmas, often occur spontaneously. Because of elevated heat, the fuels are withdrawn throughout magmas.However, in volcanic explosions, the magmas have been most aggressively ejected from the volcano whenever pressure at either the exhaust pipe is abruptly actually reduced.

If a mutation occurs in a somatic cell that leads to a non-functional protein, what will happen to that somatic cell?
A. It will prevent the cell from completing the cell cycle.
B. It will enable the cell to fix the mutation.
C. It will prevent the cell from finishing the S phase.
D. It will continue through the cell cycle as normal

Answers

If a mutation occurs in a somatic cell that leads to a non-functional protein, what will happen to that somatic cell?

A. It will prevent the cell from completing the cell cycle.

B. It will enable the cell to fix the mutation.

C. It will prevent the cell from finishing the S phase.

D. It will continue through the cell cycle as normal


C. It will prevent the cell from finishing the S phase.


There will be no protease

Norepinephrine and epinephrine influence all of the following except __________ functioning. A. heart B. lung C. nervous system D. sex drive

Answers

Hey Again!!

Your answer will be D. Sex drive.

Hope This Helps <3!!

By ☆Itsbrazts☆

Answer:

Hey!

Your answer would be D. Sex drive!

Explanation:

Hope this helps!

:>

Which animals are vertebrates

Answers

Answer:

Animal which have backbone in their body are called vertibrates. eg:tiger,human,bear

Answer:

Animals that have a backbone are vertebrates. those include mammals, birds, fish, amphibians and reptiles.

examples are humans, cows, snakes, frogs etc....

The function of hemoglobin is to The function of hemoglobin is to stimulate erythropoiesis. carry dissolved blood gases. carry bicarbonate ion. produce antibodies. aid in the process of blood clotting.

Answers

Answer:

Carry dissolved blood gases

Explanation:

Haemoglobin is a protein usually found in the red blood cells and is said to be what give the blood its characteristics red color.

Haemoglobin is a protein that also contain some iron atoms which binds oxygen; a gas to itself and aid in the transport of oxygen from the lungs in some group of animals and gills in others to the rest of the body allowing for aerobic respiration to occur in the body.

5. Plant cell has a cell wall made of:
(a) Protein
(b) Fructose
(c) Cellulose
(d) Fatty acids
6. The cell organelle that helps in respiration of the cell
is :
(a) Mitochondria (b) Lysosome
(c) Ribosome
(d) Centrosome​

Answers

Answer:

5. c) cellulose

6. a) mitochondria

Explanation:

5. Plant cell walls are mainly made of cellulose.

6. Cell respiration is the process where cells convert sugar into energy. The mitochondria is the powerhouse of the cell and is responsible for converting sugars into energy for the cell.

Answer:

5. (c) Cellulose

6. (a) Mitochondria

Explanation:

Instructions on how to control your cells are contained in what part of the DNA?

Answers

Answer:

Genes

Explanation:

The genes are specific fragments of the DNA molecule that contain the information necessary to synthesize different types of RNAs, including messenger RNAs (mRNAs) which are subsequently translated into proteins required for different cellular functions including replication, cell cycle, proliferation, apoptosis, etc. Genes are first transcribed to RNA during transcription. In eukaryotic organisms, the genes contain both exonic and intronic sequences that are jointly transcribed into the primary mRNA, and then the introns are removed during RNA splicing. The genes have a specific initiation signal sequence known as start codon (AUG) and termination codons (UGA, UAA, UAG) that terminates the translation of the mRNA.

What happens when organisms populate a new area and are isolated geographically from other populations of the same species?

Answers

Answer:

The geographically isolated population will acquire genetic differences that eventually will lead to its speciation

Explanation:

Geographic isolation is a biological process produced by the physical separation between organisms of the same species, which may be caused by different types of geographical barriers such as, among others, mountains, earthquakes, rivers, etc. Geographic Isolation produces genetic differences between the separated groups. Over time, these genetic differences will lead to the reproductive isolation of the new population, thereby leading to the formation of a new species in the course of evolution, in a mechanism referred to as speciation.

Fill in the blanks below with apropriate words:
a. Mentalis
b. Masseter
c. Frontalis
d. Sternocleidomastoid
e. Stylohyoid
f. Zygomaticus major
g. Digastric
h. Orbicularis oris
i. Hyoglossus
1. ____________elevates and protrudes lower lip.
2. _____________is a major chewing muscle.
3. _____________ raises the eyebrows. Sternohyoid .
4. _____________originates on the sternum and clavicle.
5. _____________one of the smiling muscles.
6. _____________consists of two bellies.
7. _____________depresses the tongue.

Answers

Answer:

1. Mentalis

2.Masseter

3. Frontalis

4. Sternocleidomastoid

5. Zygomaticus major

6. Digastric

7. Hyoglossus

Explanation:

1. Mentalis is a muscle which elevates and protrudes lower lip.

2. Masseter is a major chewing muscle. It is essential for mastication of substances in the mouth.

3. Frontalis raises the eyebrows.

4. Sternocleidomastoid originates on the sternum and clavicle.

5. Zygomaticus major is known as one of the smiling muscles. It is responsible for smiling and facial expressions.

6. Digastric consists of two bellies which are muscle masses and it is found between the jaw and skull.

7. Hyoglossus originates from the hyoid bone and it depresses the tongue.

Geologists might study everything except for a. the moon. b. fossils. c. minerals. d. hurricanes.

Answers

Geologists are trained professionals that might study everything except for the moon (Option a).

Who are Geologists?

Geologists are professionals who study the features of rocks and fossils that formed during natural processes.

Geologists also study the periods of time in which these fossils can have appeared on the Earth.

In conclusion, geologists are trained professionals that might study everything except for the moon (Option a).

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Which of the following is correct about the polyadenylation mechanism?

Answers

Answer:

a long chain of adenine nucleotides is added to the 3' end of mRNA during termination of transcription

Explanation:

The goal of a statement of purpose is:

Answers

Answer and Explanation: A statement of purpose's goal is to convince someone that you should be admitted to the program or be awarded a position.

Answer:

Explanation, answer, persuade

Explanation:

a statement is a sentence with a period at the end of the sentence.

you can answer, and explain without using a question mark, or an exclamation mark

and of course, you can persuade with a period, question mark, or with an exclamation mark

( plz mark me as brainliest, that would be most appreiciated! )

Leon was a relatively successful attorney before developing schizophrenia. He has now stopped working and prefers to wander the streets in preparation for an "airlift" of humans by extraterrestrials. He has lost all his property and stays on the streets. His poverty has further aggravated his psychotic symptoms. Leon's story lends credibility to which hypothesis regarding the relationship between social class and schizophrenic symptoms?
A. Social causation hypothesis
B. Milieu hypothesis
C. Downward social drift hypothesis
D. Double bind hypothesis

Answers

Answer:

C. Downward social drift hypothesis

Explanation:

In the scenario, being described Leon's story lends credibility to Downward social drift hypothesis. This hypothesis states that there is a clear relationship between mental illness and social class, in which the illness leads the individual to have a downward shift in social class. This is the case with Leon, since he was an upper-class individual until he developed schizophrenia, which ultimately caused him to drop lower and lower in social classes. All the way down to homeless.

The graphic shows the citric acid cycle. A diagram of the citric acid cycle is shown. Acetyl C o A enters the citric acid cycle and combines with a 4-carbon compound to form citric acid. During the citric acid cycle, what happens to acetyl-CoA? It enters the citric acid cycle and gains carbon dioxide to form citric acid, and gains more carbon dioxide through redox reactions to form a 4-carbon molecule. It enters the citric acid cycle and associates with a 4-carbon molecule, forming citric acid, and then through redox reactions regenerates the 4-carbon molecule. It enters glycolysis and associates with a 5-carbon molecule through redox reactions, forming another acetyl-CoA molecule. It enters the citric acid cycle and associates with a 4-carbon molecule, forming a 5-carbon compound, and then through oxidation reactions regenerates the 4-carbon molecule.

Answers

Answer:

It enters the citric acid cycle and associates with a 4-carbon molecule, forming citric acid, and then through redox reactions regenerates the 4-carbon molecule.

Explanation:

Acetyl-CoA(2C) associates with oxalacetate(4C) to form citric acid(6C). Then through redox reactions, CO2 molecules result from decarboxylation (COOH becomes R-(R1)CH-R2). And through dehydrogenation H2 molecules are incorporated in NADH+ in FADH2, resulting in the 4-carbon molecule at the beginning (oxalacetate). That's why it's called a cycle(Kreb's cycle or citric acid cycle)

In the citric acid cycle, when acetyl-CoA enters the cycle, it associates with a 4-carbon molecule (Oxalacetate), forming citric acid, and then through redox reactions regenerates the 4-carbon molecule (Oxalacetate).

--------------------

The resumed steps of the Citric acid cycle are as follows,

1) Acetyl CoA joins an oxaloacetate molecule, which is a 4C molecule. They release the CoA group and form a 6C molecule called Citrate.

                      Acetil CoA + Oxalacetato → Citrato + CoA group

2) Citrate turns into an isomere Isocitrate

3) Isocitrate oxidates and release 1 CO₂ molecule, producing an α- ketoglutarate molecule -this is a 5C molecule-. Meanwhile, NAD+ reduces to NADH.

                    Isocitrate + NAD+ → α-cetoglutarate + CO₂ + NADH

4) α-ketoglutarate oxidates and release 1 CO₂ molecule, producing a 4C molecule, which joins a Coenzyme A producing Succinyl-CoA. Meanwhile,  NAD+ reduces to NADH.

          α-cetoglutarate + NAD+ → 4C molecule + CO₂ + NADH

          4C molecule + Coenzyme A → Succinil-CoA

5) CoA from Succinyl-CoA is substituted with a phosphate group, which then forms ATP. The final product is Succinate and ATP

       Succinyl-CoA + Phosphate group + ADP → Succinate + ATP + CoA

6) Succinate oxidizes and forms Fumarate, a 4C molecule. FAD+ forms FAH₂

                     Succinate + FAD+ → Fumarate + FADH₂

7) A water molecule and Fumarate produce Malate, which is another 4C molecule

                                Fumarate + H₂O → Malate

8) Finally, malate oxidizes and oxalacetate regenerates -the initial 4C compound-. NAD+ reduces to NADH.

                     Malato + NAD+ → Oxalacetate + NADH

So, when acetyl-CoA enters the cycle, it associates with a 4-carbon molecule (Oxalacetate), forming citric acid, and then through redox reactions regenerates the 4-carbon molecule (Oxalacetate).

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How does the cell wall protect a plant cell? A) The cell wall protect the cell by providing support and maintaining the cell's shape. B) The cell wall protects the cell by storing food so the plant doesn't run out. C) The cell wall is thin and flexible, which allows the cell to be moved without harming the organelles. D) The cell wall is on inside of the cell and serves to contain the contents of the cell.

Answers

Answer: the cell wall protects the cell by providing support and maintaining the cells shape

Explanation:

The cell wall protects the cell by providing support and maintaining the cell's shape.

CELL WALL:

The cell wall is a structure found in certain cells like plant cells, Bacteria cell etc. The cell wall is located outside the cell and bounds the cell content.

The cell wall of plants majorly contain a polysaccharide called cellulose. The cellulose content of plants cell wall is responsible for its protective function by giving the cell a rigid shape.

The plant cell wall helps protect the plant cell by providing support and maintaining the cell's shape.

Learn more at: https://brainly.com/question/11898425?referrer=searchResults

2. Where could you access research material or other
information that would help inform you understanding
about the importance of identifying biological molecules
and how each of the tests work?

Answers

Answer:

ljfkrejdmnc bdkcbkjdbjckbdkj idbb b  b b

Explanation:

Biological molecules are involved in the process of life. The research material that enables understanding of the biological molecules and their analysis can be accessed from library databases and research tools.

What are biological molecules?

Biological molecules have been defined by the organic and inorganic compounds that are present and function in the living cell. They are considered the fundamental unit of life that consists of "carbon, oxygen, hydrogen, sulfur, and nitrogen molecules".

The online research tools and library databases of various research universities are the best places where one can access the research materials and information that allows the understanding of the importance of the biological molecules and the tests used to identify them.

Therefore, libraries and databases are used to get research information.

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The second of the two "undeniable facts" is that individuals in a population of any species vary in many heritable traits (traits passed from parents to offspring), so that no two individuals are exactly alike. This fact is important to understanding evolution because it means that

Answers

The next generation of organisms will have a chance of survival. They will not be like the preceding generation, so they can adapt and be better. Mark brainliest please

______ 2. Who was responsible for passing this law? the state of California c. the U.S. Fish and Wildlife Service Greenpeace d. the U.S. Congress

Answers

The given question was incomplete as related information of question was missing however, the missing part is attached in the form of image.

Answer:

The correct answer is - the U.S. Congress

Explanation:

the U.S. Congress passed the law of  known as Endangered Species Act and has modified or amended several times since. This act is designed to prevent plant and animal to extinct.

According to this law and its first provision the US fish and wildlife services have to create a list of threatened and endangered species in order to save them.

Thus, the correct answer is -  the U.S. Congress

9. A finch population has genetic diversity. Some of the finches have an allele that gives them
longer beaks. Due to pollution, the ecosystem changes and seeds become harder to find. The
finches with long beaks can dig the seeds out more easily than the finches with short beaks.
a) Which type of bird is selected for in the polluted ecosystem?
b) How will the allele frequency change in the finch population?
c) is this an example of natural selection explain

Answers

Answer:

A) the finch with the longer beak

B) the allele will continue to become more prominent as the smaller beak birds die off

C) Yes, the birds with the longer beaks will continue to live on because the birds with the smaller beaks can’t find the seeds as easily.

Explanation:

Seeds are harder to find, so finches with larger beaks get selected in a polluted environment. This is a natural selection. If this continues, then the alleles for short beak will vanish.

What is natural selection?

Natural selection is a process in which nature selects an organism that can fit well. If an allele is selected in a population and present for a longer time, then it replaces other alleles in that population. Example: In a population, both short-beaked and long-beaked finches are present.

Due to pollution, long-beaked finches are able to find more seeds than short-beaked finches. Here, nature favors long-beaked finches over short-beaked finches. If this continues for a longer generation, then alleles for the short beak will vanish. Only alleles for long beaks will be in the population.

Hence, long-beaked finches are selected. It is an example of natural selection. The allele frequency of the long beak will increase while decreasing for the short beak.

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Identify the various items used for micro farming and list out their nutritional benefits.

Answers

Answer:

While their nutrient contents vary slightly, most varieties tend to be rich in potassium, iron, zinc, magnesium and copper (2, 3 ).

Microgreens are also a great source of beneficial plant compounds like antioxidants ( 4 ).

Explanation:

Why do you think the eukaryotic DNA requires multiple origins of replication?
A.
Multiple origins help make more copies of the same DNA simultaneously.
B.
Eukaryotic organisms have unique DNA strands for each specialized cell.
C.
Eukaryotes do not have topoisomerase, so multiple origins are created due to tension from unwinding of DNA strands.
D.
Eukaryotic DNA is much larger and replication at multiple origins helps reduce the time required for whole genomes to replicate.
E.
Multiple origins of replication ensure that there are no lagging strands and replication takes place at the same pace.
.

Answers

Answer:

D.  

Explanation:

Prokaryotic DNA exhibit single origin of replication while eukaryotic DNA has multiple origins of replication because eukaryotic DNA is much larger and multiple origin of replicate helps them to replicate the whole genome in short time duration.

Large DNA of eukaryotes contain high amount of material to be replicated and multiple origin sites helps them to replicate in short time. DNA replication initiate at each origin site independentaly and terminate at corresponding termination sites.

Hence, the correct answer is D.

Answer:

D

Explanation:

i took the test

An eight-year-old boy dramatically increased his upper body strength after following a six month resistance training program. Which of the following is most likely responsible for this gain?
A. Increased number of muscle fibers
B. Enhanced cross-sectional area
C. Greater muscle density
D. Improved neuromuscular functioning

Answers

Answer: D. Improved neuromuscular functioning

Explanation:

The neuromuscular functioning is one of the main reason for a person to become stronger, so the correct answer will be this one.

CAN YOU MARK ME BRAINLIEST?

Which of the following evidence must be stored in an airtight container? Bullet Casings, Gun Magazines, Hair, Wet Fluids, Tire Track Casts

Answers

Answer:

gun magazines

Explanation:

the others don't make sense.

evidence like gun magazines should be stored in an airtight container.

01:53:26 The main factors that determine the amount of runoff in an area include the shape of the land, how people use the land, the type of soil, and: a. amount of soil and vegetation b. amount of rain and vegetation c. amount of rain and amount of soil d. amount of rain and rock formations

Answers

Answer:

a

Explanation:

since runoff can be caused by little rainfall but in abundance of vegetation then it may decrease since they stop or slow down it's flow but runoff can not be affected by rocks since the velocity may even wear it

Answer:

The answer is a

Explanation:

i took the test its not that hard but its ok <3

Which of the following are formed during photosynthesis?
A. C6H1206 and 02
B. C2H4O2 and H20
C. C2H4O2 and 02
D. C6H1206 and H20

Answers

During photosynthesis, plants take in carbon dioxide (CO2) and water (H2O) from the air and soil. Within the plant cell, the water is oxidized, meaning it loses electrons, while the carbon dioxide is reduced, meaning it gains electrons. This transforms the water into oxygen and the carbon dioxide into glucose. The plant then releases the oxygen back into the air, and stores energy within the glucose molecules.

Explanation:

Explain how nondisjunction can lead to aneulodies

Answers

Answer:

nondisjunction can lead to aneulodies by results in daughter cells with abnormal chromosome numbers (aneuploidy). (if u want a more in depth answer just look it up and you'll find one, but i hope this was somewhat helpful lol)

A triglyceride molecule consists of: a. two trans-fatty acids attached to a sterol molecule b. three fatty acids attached to a molecule of glycerol c. three sterol molecules bonded to a molecule of glycerol d. three glycerol molecules e. three trans-fatty acids attached to a sulfur atom

Answers

Answer:

d. three glycerol molecules

Explanation:

Hope it helps.

Please help :( !!!
Which statement summarizes a change that occurs during photosynthesis?

Answers

Answer:

It converts light energy to chemical energy.

Explanation:

Other Questions
Suppose , varies jointly with g and v, and j = 2 when g = 4 and v= 3.Find j when g = 8 and v= 11. A drum rotates around its central axis at an angular velocity of 19.4 rad/s. If the drum then slows at a constant rate of 8.57 rad/s2, (a) how much time does it take and (b) through what angle does it rotate in coming to rest If f(x) = 4x - 20, what is f(4)?O A. -4O B. -12O c. 4O D. 16 one paragraph summary of the story "From Fugitive to Freedom: The Story of the Underground Railroad" by Steven Otfinoski The FICA tax consists of Question 20 options: federal income tax and Social Security tax. Social Security tax and Medicare tax. federal income tax and Medicare tax. federal income tax. An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units When a biased coin is tossed, heads is three times as likely to come up as tails. Rearrange the following procedure in the correct order to find the probability that should be assigned to the outcome of heads and tails? 1. p(T) = 1/4 and p(H) = 3/4 2. since heads and tails are the only two outcomes p(H) + p(T) = 1. 3. p(H) = 3p(T) 4. 3p(T) + p(T) = 1 5. 4p(T) = 1 Determine if the field Bold Upper F equals 10 yz Bold i plus 10 xz Bold j plus 10 xy Bold k is conservative or not conservative. Which of the following is one internal conflict that Charlotte is dealing with? Captain Jaggery does not like her The sailors believe she betrayed them She feels sorry for the men but wants to stay loyal to Captain Jaggery She isn't used to physical labor and resents having to do it Explain the mechanism responsible for summation of contractions and the increase in height of contraction when the stimulus frequency is increased. In a right triangle the lengths of the legs are a and b. Find the length of ahypotenuse, if:a =5, b =6.PLEASE ANSWER ASAP Some individuals can be heterozygous for a particular mutation.This means that one of their chromosomes is normal and the other is mutated in some way. Approximately ___ of the gametes produced by an individual heterozygous for a deletion will be non viable. In the month of November, Carla Vista Co. Inc. wrote checks in the amount of $9,565. In December, checks in the amount of $11,465 were written. In November, $8,825 of these checks were presented to the bank for payment, and $10,285 in December. What is the amount of outstanding checks at the end of November? At the end of December? Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation? How many balls did Jared and Zach throw. Round the numbers that follow to three significant figures and express the result in standard exponential notation: (a) 143,700; (b) 0.09750; (c) 890,000; (d) 6,764E4; (e) 33,987.22; (f) - 6.5559. Classify the following costs incurred by a manufacturer of golf clubs as product costs or period costs. Also classify the product costs as direct materials or conversion costs.a. Depreciation on computer in president's office b. Salaries of legal staff c. Graphite shafts d. Plant security department e. Electricity for the corporate office f. Rubber grips g. Golf club heads h. Wages paid assembly line maintenance workers i. Salary of corporate controller j. Subsidy of plant cafeteria k. Wages paid assembly line production workers l. National sales meeting in Orlando m. Overtime premium paid assembly line workers n. Advertising on national television o. Depreciation on assembly line Can somebody please help? i need to graph the piecewise function. i won't forget to give brainliest. Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. c 22 and 15 Answer: < 3rd side What is the next step to solve a problem with video drivers after Windows reports it cannot find a driver that is better than the current driver The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!