ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
The congruence theorems that can be used to prove ΔEFG ≅ ΔJHG are; ASA and AAS
It is impossible to know if these are right triangles from the information given;
On this note, only one side of each triangle is marked congruent;
Hence, we are unable use SSS or SAS to affirm congruence.
Additionally, since EF is parallel to HJ. Therefore, line EJ is a transversal. This also means that ∠HJG and ∠GEF are alternate (z-angles) interior angles and are therefore congruent. Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent. We have therefore established the AAS congruence theorem.Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate (z-angles) interior angles and are congruent. Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent; This gives us two angles and an included side, which is the ASA congruence theorem.Read more on congruence theorems:
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What is (12!) - (10!)?
Answer:
step 1
12! =479001600
step2
10!=3628800
step 3
479001600-3628800=
475372800
ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A. must not be
B. may or may not be
C. must be
The quadrilateral ABCD must be a parallelogram.
Properties of a parallelogramFor a parallelogram, the opposite angles and sides are always equal.
From the given quadrilateral, you can see that opposite angles are equal that is:
m<B = m<DBased on this, we can conclude that the quadrilateral ABCD must be
a parallelogram.
Learn more on parallelogram here: https://brainly.com/question/970600
Answer: Must Be
Step-by-step explanation:
Guess the rule and write down the missing number: 1 5 6 11 _ 28
Answer:
1 5 6 11 17 28
Step-by-step explanation:
Hi there! :)
Answer:
17 is the missing number.
Step-by-step explanation:
The rule is to add the previous two numbers together to get the next number. For example:
1 + 5 = 6
5 + 6 = 11
Using this rule to solve for the missing number gets us:
6 + 11 = 17
We can check this work as well:
11 + 17 = 28.
Therefore, 17 is the missing number.
Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. If they start at the same position, chosen at zero, and bike in straight opposite directions, what will the distance between them be after 45 minutes?
Answer:
45 minutes is 3/4 of an hour, so find 3/4 of 12.
Divide 12 by 4 to get 1/4 of 12. That is 3.
3/4 is 3 of those, so multiply it by 3 to get 9.
So, she will have biked 9 miles.
Answer:
180 miles.
Step-by-step explanation:
First, we have to find out how far Claire is after 45 minutes:
12 x 45 = 540
Now, we need to find out how far Han is after 45 minutes:
8 x 45 = 360
Lastly, we need to subtract how far Claire went by how far Han went:
540 - 360 = 180
Final answer:
The distance between Claire and Han after 45 minutes will be 180 miles.
Hope this helped! Have a nice day!
Hiroto paid $4.28 in sales tax for the items that he purchased.
Percents
Total
100%
If the sales tax rate was 6.25 percent, what was the total cost of the items before tax was added?
$0.27
$0.68
$26.75
$68.48
Answer:
$68.48
Step-by-step explanation:
You want to find cost such that ...
6.25% × cost = $4.28
Dividing by the coefficient of cost, we get ...
cost = $4.28/0.0625 = $68.48
Answer:
the answer would be 68.48
Step-by-step explanation:
BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
b) 1, -4, 6
Step-by-step explanation:
(x-y)^4=
(x-y)(x-y)(x-y)(x-y)=
(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=
(x^2-2xy-y^2)(x^2-2xy-y^2)=
x^4-4x^3y+6x^2y^2-4xy^3+y^4
Can someone answer a-c please!
Find an equation of variation where y varies jointly as x and the square of z, and where y=70, when x=21 and z=5.
Answer:
[tex]y = 181.75xz^2[/tex]
Step-by-step explanation:
Given
y jointly varies to x and z^2
Required
Find the equation
We start by writing out the variation;
[tex]y\ \alpha\ xz^2[/tex]
Write as equation
[tex]y = kxz^2[/tex]
Substitute values of x,y and z
[tex]70 = k * 21 * 25^2[/tex]
[tex]70 = k * 21 * 25 * 25[/tex]
[tex]70 = k * 13125[/tex]
Divide both sides by 7
[tex]\frac{70}{13125} = \frac{k * 131251}{13125}[/tex]
[tex]\frac{70}{13125} = k[/tex]
[tex]187.5 = k[/tex]
[tex]k = 181.75[/tex]
Substitute k in [tex]y = kxz^2[/tex]
[tex]y = 181.75xz^2[/tex]
What is the value of this expression when a = 4 b = - 5 and c = - 7 (a + 2bc)/(3a) O A - 5 1/2 OB. - 1 2/3 Oc. 6 1/6 OD . 17 1/2
Answer:
[tex]\mathrm{C.}[/tex] 6 1/6
Step-by-step explanation:
(a + 2bc)/(3a)
Plug in the values.
(4 + 2(-5)(-7))/(3(4))
Evaluate.
(4 + 70)/12
74/12
37/6 = 6 1/6
Under what conditions are we allowed to add or subtract radicals together?
Answer/Step-by-step explanation:
The conditions where we are allowed to subtract or add radicals together is when the radicands, which is the number inside the radical, of both radicals are the same. And also, when they both have the same indices, that is, for example, they have the same root.
Take for example the following radical expression:
[tex]4\sqrt{2} + 3\sqrt{2}[/tex]
Both radicals, [tex]4\sqrt{2} and 3\sqrt{2}[/tex], have the same radicand, [tex]\sqrt{2}[/tex] , and also the same index of square root.
Therefore, they are regarded as like terms, and can be added or subtracted together.
Thus,
[tex]4\sqrt{2} + 3\sqrt{2} = 7\sqrt{2}[/tex]
In your own words, what does it mean when something has an extrinsic value? What is an
example of an item having extrinsic value?
Answer using complete sentences.
Answer:
Extrinsic value means to have the motivation or desire to do something by yourself. To have the motivation to complete a task or goal without outside help.
Step-by-step explanation:
One way of having extrinsic value is that you go to school and you want to go to Germany. Your school fortunately has a student exchange program, so you apply hoping that you get in.
Now you go home, you get the best grades so people recognize you. You teach yourself German and you do all the things that you need to do in order to go.
What makes this extrinsic is that no one forced you to go, you did all this work by will. Your own motivation.
ASAP PLZZZ Find the area of the shaded polygons:
Step-by-step explanation:
You can use the Pick's theorem:
[tex]A=i+\dfrac{b}{2}-1[/tex]
where
i - number of lattice points in the interior located in the polygon
b - number of lattice points on the boundary placed on the polygon's perimeter
[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]
Answer:
Of course, the Pick's theorem is the way to solve this question, but consider:
Another approach is using topography:
Gauss's Area Calculation Formula:
[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]
Taking the purple one:
We have 6 points. I will name them:
[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]
[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]
[tex]D=28-8=20[/tex]
[tex]$A=\frac{20}{2} =10$[/tex]
Plz help me with the hw I do not have points please help me please I will give you the questions and send it on the comment -4=-1/8e
Answer:
32
Step-by-step explanation:
-4=-1/8e
multiply both sides by -8
-8(-4)=-1/8(-8)e
32=e
Answer:
-32
Step-by-step explanation:
1/8 x8/1=1, so you would also multiply -4 by 8 and get -32
help me plz on this i just need the answer Use the given parent function f(x)=|x| to graph g(x)=|x|+5. Use the ray tool and select two points to graph each ray.
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
Determine the quotient. Write your answer in scientific notation.
(8.4 * 10%) + (1.2 x 102)
Answer:
0.84+122.4x is your answer. hope this helped
Step-by-step explanation:
Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work
can someone please help? i don’t know how to solve this.
Answer:
Hey there!
We have the absolute value of x is greater than two.
Thus, to solve absolute value inequalities, we want to break the inequality down.
We break this down to
x>2
x<-2
Thus, we don't need to simplify this any further, and have our answer.
Hope this helps :)
Answer:
x >= 2 or x <= -2
Step-by-step explanation:
|x|>= 2
Means the absolute value of x is greater than or equal to two.
When we deal with absolute value, we can equivalently break into two cases
+x >= 2 => x >= 2
-x >= 2 => x <= -2
On the number line it looks like what is shown in the attached figure.
If Triangle Q S R is congruent to triangle Y X Z describes two triangles, which other statement is also true? A: Triangle Q R S is congruent to Triangle X Y Z // B: Triangle Q R S is congruent to Triangle Y Z X // C: Triangle Q R S is congruent to Triangle Z X Y // D: Triangle Q R S is congruent to Triangle X Z Y
Answer:
ANSER IS B FIRST IS INCORRECT
Step-by-step explanation:
The true statement:
ΔQRS ≅ ΔYZX.
Triangle QRS is congruent to Triangle YZX.
The correct option is C.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Given:
Triangle QSR is congruent to triangle YXZ.
ΔQSR ≅ ΔYXZ.
From the given choices:
The correct order of the congruent triangles.
ΔQRS ≅ ΔYZX.
Therefore, ΔQRS ≅ ΔYZX.
To learn more about the congruent;
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Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Answer
30 minutes
Step-by-step explanation:
Answer: approximately 26.66667 minutes
This converts to 26 minutes, 40 seconds
=================================================
Explanation:
Let's say there are 360 newspapers that need to be delivered.
The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.
Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.
Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.
The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means
26.66667 minutes = 26 minutes, 40 seconds
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)
Hi
An inverse variation is of the form : f(x) = k/x where k is a number and x the variable.
In a inverse variation , the product of x*y is for all point always the same which is K
so 2*8 = 16 so K = 16 and f(x) = 16/x
if x = 3 then f(x) = 3 so : 16/x = 3 ; 3x = 16 ; x ⇒ 16/3
Does anyone know this
Answer:
I believe it's 220 in.
Step-by-step explanation:
area = base 1 + base 2 divided by 2 times the height
Please solve for x and y. If you do, also write the steps you used.
Answer: a = 8, x = 56, y = 68
Step-by-step explanation:
Was there a description that stated this was a parallelogram?
Since that information was not provided....
I used the Law of Cosines to find x = 56°.
Congruent sides implies congruent angles so Center-Q-R = 56°.
Triangle Sum Theorem results in y = 68°
Vertical angles results in S-Center-P = 68°
Triangle sum Theorem results in S-P-Center = 68°
Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8
Hi . I need help with this question. Please show workings.
Answer:
6km/h
Step-by-step explanation:
[tex]speed \: = \frac{distance}{time} \\ 50m \: = 0.5km \\ 30s \: = 0.0833333 \: hours[/tex]
[tex]speed \: = \frac{0.5}{0.0833333} \\ speed \: = 6.0[/tex]
Answer:
6 km/hStep-by-step explanation:
Solution,
Distance travelled = 50 m
Time taken = 30 second
Let's find the speed in meter/ second
Speed = [tex] \frac{distance \: travelled \: }{time \: taken} [/tex]
plug the values
[tex] = \frac{50}{30} [/tex]
[tex] = \frac{5}{3 \: } \: meter \: per \: second[/tex]
Now,Let's find the speed in km/ hour
[tex] \frac{5}{3} \times \frac{3600}{1000} [/tex]
Reduce the numbers with G.C.F 3
[tex]5 \times \frac{1200}{1000} [/tex]
Reduce the numbers with GCF 5
[tex] \frac{1200}{200} [/tex]
Reduce the fraction with 200
[tex]6 \: kilometer \: per \: hour[/tex]
Hope this helps..
Best regards!
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
in 50 gram portion of cereal 8 grams of it are sugar which of the following represents the present of the 50 grams that is sugar
a)4
b)8
c)16
d)24
Answer:
C
Step-by-step explanation:
8/50= 0.16
Answer:
C = 8/50 = 0.16 * 100 = 16
Step-by-step explanation:
What is the value of the expression iºxi1xi2 xj3 xi4?
Answer:
The value of the given expression is - 1
Step-by-step explanation:
I believe you meant this expression to be iº [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴. If that is so, then we can assume that i = imaginary number, and solve for the value of the expression.
Anything taken to the power of 0 is 1, therefore we can simplify the expression as such,
1 [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... at the same time anything taken to the power of one, is simply the base value, so -
1 [tex]*[/tex] i [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... we know that multiplying values of like bases can be combined by adding their exponents, so let's apply that rule -
1 [tex]*[/tex] i¹⁰ ... let's break i¹⁰ into ( i² )⁵. i² is, in other words, - 1 applying the imaginary number rule. Respectively ( - 1 )⁵ = - 1, our solution.
I NEED HELP RIGHT NOW! What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary. I WILL MARK YOU THE BRAINLIEST!
Answer:
11
Step-by-step explanation:
You just add all the numbers and divide by the amount of numbers.
So its the sum divided by the amount of numbers added up.
What is the length of the diagonal of a TV that measures 2.25 feet high and 4 feet wide?
Answer: Rounded, the diagonal is 4.6 feet
Step-by-step explanation: Use the Pythagorean Theorem: c² = a² + b²
Then take the square root of c² to find the length
2.25² =5.0625 This is a²
4² = 16 This is b² Add a² + b² to get c²
5.o625 + 16 = 21.0625 This is c²
√21.0625 = 4.589389938 This is the square root.
Round this to common measurements or "significant digits" 4.6 feet.
If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105
Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
How much sugar should Liam use?
Explain why your answer is correct.
Answer:
2/3 cups of sugar
Step-by-step explanation:
Answer:
2/3 cups of sugar
Step-by-step explanation:
If 3 cups of flour: 1 cup of sugar
2 cups of flour: x cup of sugar
Cross multiply
3x = 2 × 1
3 3
x = 2/3
My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.