Answers
Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± [tex]\sqrt{16}[/tex] = ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
Related Questions
which problem could be solved by evaluating the expression 7 x (-3)?
Answers
Answer:
C: A cold front comes in and causes the temperature to drop 3 degrees every hour. What is the change in temperature after 7 hours?
find the missing side lengths of the triangle 20 units 21 units
Answers
Answer:
29
Step-by-step explanation:
In a triangle, a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Given this formula, we knoe c^2 is the product of 21^2 + 20^2.
This gives you 841. Now you just find the square root of 841 which is 29.
Hope this helps :)
Mary is designing a square garden in her field to grow vegetables. The minimum size for a garden is 2 meters on each side. She decides it would be best to have each side be 2 meters long plus an additional x amount of meters.
a. What expression can represent the area of the garden?
b. Mary’s five additional friends also want to make this garden with the same dimen
Answers
Can someone please help me answer this question asap thank you .
Answers
you do this 8 x 6 x 14 x 4 = 672
Maya makes trail mix by combining 1/2 cup of mixed nuts, 1/4 cup of dried fruit, and 1/8 cup of chocolate morsels. What is the total amount of ingredients in her trail mix? Explain how you solved the problem.
Answers
Answer:
7/8 ingridents
Step-by-step explanation:
If you're working with improper fractions where the numerators are larger than the denominators, make the denominators the same. Then add the numerators. If you're adding mixed numbers, turn them into improper fractions and make each fraction equivalent. This will make it easy to add the fractions together.
Mark me brainliest!
Answer:
Step-by-step explanation:
1/8x1/4x1/2=1/64
The graph shown is a summary of the number of items sold by two classes for a school fundraiser.
The teachers in each class compared their results side by side and determined that class 1 had more variability than Class 2. Which of the following statements BEST describes the conclusion of the teachers?
A. It is not true because the median for each class is the same
B. It is not true because the maximum is the same for each class
C. It is true because the range of Class 1 is greater than the range of Class 2
D. It is true because the minimum for Class 1 is less than the minimum of Class 2
Answers
Answer:
c.
Step-by-step explanation:
since the range is bigger, it gives more variability when it comes to data plots
Which expression is equivalent to (q? – 16)?
M. (q - 4)2
P. (9 + 4)(9-4)
R. (q + 8)(9 - 2)
S. (9-8)(9 + 2)
Answers
Answer:
nothing
Step-by-step explanation:
because the given is error
i need help with trigonometric pleasee
Answers
Answer:
Step-by-step explanation:
Cos(61) = 0.4848
This is more or less the value of cos(60) which is 1/2
You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.
Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.
Tan (18) = 0.3249 Try tan(18) = 0.3
Timothy is making a bar graph to compare how many of each type of drink he has in his cooler. He has 4 milk cartons, 12 juice boxes, 16 waters, and 20 iced teas. Which scale makes the most sense for Timothy to use with his graph?
A.
Each grid line should represent 1 type of drink.
B.
Each grid line should represent 5 types of drink.
C.
Each grid line should represent 3 types of drink.
D.
Each grid line should represent 4 types of drink.
Answers
Answer:
D. Each grid line should represent 4 types of drink.
NEED HELP/WILL MAKE BRAINLY
Jorge needs to paint the circular tops of five identical tables. Each table has a circumference of about 12.6 feet. He has a 1-pint can of paint, which will cover about 70 square feet of surface area.
Which statement is true for this situation?
Group of answer choices
He will have enough paint to put two coats of paint on all of the tables.
He will have enough paint to put one coat of paint on only four of the tables.
He will have enough paint to put one coat of paint on all of the tables.
He will have enough paint to put one coat of paint on only three of the tables.
Answers
Answer: He will have enough paint to put one coat of paint on all of the tables.
Mica stands 75 feet away from the base of a tree and looks up towards the top of the tree at a 51 degree angle.
Answers
Answer:
Height of the tree = 92.61 feet
Step-by-step explanation:
Given: Distance between base of tree and Mica = 75 feet
Angle of elevation to the top of tree = 51°
Assuming we have to find the height of the tree = H
This can be found by applying simple trigonometry.
The height of the tree becomes perpendicular and distance between base of tree and Mica is base.
Then, tan51° = H/75
⇒ H = 75× tan51° = 92.61 feet
Someone help?
Wanda feeds her 3 dogs 1/4 of a can of food per meal. She feeds each of her dogs twice a day. If Wanda has 12 cans of food, is it true that she can feed her dogs for at most 6 days?
Answers
Answer:
yep, 1.5 x 6 =9. 12-9 = 3 can leftover
what's the area of the circle
Answers
Answer:
3.14
Step-by-step explanation:
Explain the different types of motion of a sewing machine
Answers
Answer:
linear.
rotary.
reciprocating.
oscillating.
hope it wil help you
Write 0,000000357 the following in scientific notation.
Answers
Answer:
Step-by-step explanation:
3.57 x 10 ^ - 7 is the correct answer
What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain
Answers
Answer:
C. It is likely
Step-by-step explanation:
Given
See attachment for diagram
For the square.
Let
[tex]Length = L[/tex]
So, the area is:
[tex]Area = Length^2[/tex]
[tex]A_1=L^2[/tex]
The side length of the square equals the diameter of the circle.
So:
[tex]diameter (d) = L[/tex]
The radius is:
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2}L[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]
[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{28} L^2[/tex]
The likelihood that a point will be common to the square and the circle is:
[tex]Pr = \frac{A_2}{A_1}[/tex]
[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]
[tex]Pr = \frac{22}{28}[/tex]
[tex]Pr = 78.57\%[/tex]
The above probability is greater than 50% but less than 100%.
Hence, it is likely
Answer:
C. Likely
Step-by-step explanation:
all the points are in the circle so it's likely to choose a point inside the circle
Can yall help me with this pls its due rn and im cryinggggg ill definetly give brainliesttt : (
Answers
Answer:I would just guess and put 55 because 20x+35 would be 55x
Step-by-step explanation:
Answer:
4x 75Step-by-step explanation:
Now I have never seen a question like this but it would make sense if the GCF is 5, 4x and 7 since 5 x 4x = 20x and 5 x 7= 35.
So the blank x would be 4 x, the right side would be 7 and the bottom left would be 5.
22 and 21 please help no links or i report
Answers
Answer:
21) B. (5,45)
22) B. As the temperature decreases, hot chocolate sales increase.
y=38(0.29)^x
what is it
Answers
Answer:
Step-by-step explanation:
y=38(0.29)^x is an exponential function whose initial value (when x = 0) is 38. This function increases steadily from this value, due to the +(0.29) base of this exponential. As x grows increasingly large, the rate at which y is increasing drops steadily.
Find the missing side. Round to the nearest tenth.
Answers
Like what that guy said sorry did not mean to disturb
In the cafeteria, a principal asked students what fraction of their plates contained vegetables. The line plot displays the students' responses. How many more plates of vegetables did the students who responded of a plate have than the students who responded of a plate? (look at picture)
Answers
Answer:
It should be A 3 1/4
Step-by-step explanation:
Triangle XYZ has the following values:
m<X = 92 degrees
m<Y =42 degrees
what is the measure of angle Z?
Answers
Answer:
46 degrees
Step-by-step explanation:
Total angular measurement for a triangle = 180
180 - 92 - 42 = 46 degrees
rewrite 4 x 4 x 4 x 4 As a exponent
rewrite A x A x A as an exponent
Answers
Answer:
Step-by-step explanation:
[tex]4^4\\A^3[/tex]
Answer:
[tex]4^{4}[/tex] and [tex]A^{3}[/tex]
Step-by-step explanation:
what is the value of this questiom ?
Answers
Three dock workers load 240 crates equally onto 8 ships. How many crates are loaded onto each ship?
Answers
Answer:
The are 30 crates in each truck
Step-by-step explanation:
8x=240
8x/8=240/8
x=30
A rectangular hotel room is 5 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $43.00 per square meter. How much will it cost to recarpet the room?
Answers
Answer:
$1505
Step-by-step explanation:
area = 5 x 7 = 35 m²
35 m² x $43 per m² = $1505
What is the complete factorization of
8y3 – 4y2 + 10y?
Answers
help m.e please please
Answers
Answer:
(-4,-1)
Step-by-step explanation:
Answer:
(-4,-1)
Step-by-step Explanation: It is because the arrows stop at -4 and -1
You go to Kohl's to purchase retro jordan shoes for $74.99. Kohl's is offering in-store discount at 30%. You Kohl's dollar coupon for another 20% off. What is the price of the shoes before tax?
Answers
Answer:
41.99
Step-by-step explanation:
74.99*(100%-30%)
52.493
52.493(100%-20%)
41.99
11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *
Answers
Answer: 35
Step-by-step explanation: