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2 years ago

What is X equal to? It’s not 90 degrees

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

(66) + (8x) = 90

x = 3

hope this helps!!!

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Given the median QR and trapezoid MOPN, what is the value of x?

Effectus [21]

As QR is the median of trapezoid MOPN,

$QR = \frac{QP + MN}{2}\\\\27 = \frac{5x - 7 + 6x + 6}{2}\\\\27 = \frac{11x - 1}{2}\\\\Cross multiply\\27 \times 2 = 11x - 1\\\\54 = 11x - 1\\\\Add 1 on both sides \\54 + 1 = 11x -1 + 1\\55 = 11x\\\\Divide both side by 11\\\frac{55}{11} = \frac{11x}{11}\\\\x = 5$

Option D is the answer

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3 years ago

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erik [133]

I believe it’s c but I’m not completely sure so sorry if it’s wrong

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3 years ago

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Nikitich [7]

The answer could be expressed as 2^8 because the product is 16!

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2 years ago

PLEASE HELP ME ON THIS

Dmitry [639]

The domain of the function is 80 to 180 because domain refers to the valid inputs of the function.

After receiving $42, the new domain (that Albert can afford) is from 80 to 147.

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4 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

================================================================

Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

================================================================

Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

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2 years ago