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Furkat [3]
3 years ago
5

A number y is 6 less than twice a number

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer:

C

Step-by-step explanation:

blah blah blah blah blah blah

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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
Plz help!!! It's on elimination its Algebra 1
koban [17]
2x-y=0 Y=x-1 2x-x-1=0 x-1=0
7 0
3 years ago
Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of mone
Luda [366]

Answer:

The answer would be 7.5

Step-by-step explanation:

This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.

8 0
3 years ago
What number completes the following equation? 8×(40+7)=(8×?)+(8×7)​
morpeh [17]

Answer:

? = 40

Step-by-step explanation:

8×(40+7) is exactly the same as 8×40 + 8×7

6 0
3 years ago
Read 2 more answers
Find the inverse function F -1 (X) for the given function F (X)
charle [14.2K]

<u>Solution for question 5:</u>

f(x) = 4x - 8

To find f^-1(x) write it as an equation:

y = 4x - 8

Then take x to left and y to right;

x = 4y - 8

Then solve for y;

y = (x + 8)/4 = x/4 + 2

Your y is the inverse of f(x) = 4x - 8

f^-1(x) = x/4 + 2


8 0
3 years ago
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