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Ilya [14]
3 years ago
14

What is A = 8x + 74 degrees and B = 2x + 56 degrees solve for x and then find the measure of B

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
3 0
Since those lines are parallel, we know that A + B = 180°

So, we have:

8x + 74 + 2x + 56 = 180
10x + 130 = 180
10x = 180 - 130
10x = 50
x = 5

B = 2x + 56
B = 10+56=66

(To check:
A = 8x + 74
A = 40+74=114
114+66=180)
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Answer:

x \geq 6

Step-by-step explanation:

You can start by dividing both sides by 2, getting x \geq 6.

7 0
2 years ago
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Help me please thank you
Andrews [41]
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8 0
3 years ago
What are the coordinates of the endpoints of the midsegment for △DEF that is parallel to DE¯¯¯¯¯?
Readme [11.4K]

Answer:

The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).

Step-by-step explanation:

If a line connecting the midpoint of two sides and parallel to the third side of the triangle, then it is called a midsegment.

From the given figure it is noticed that the vertices of the triangle are D(1,4), E(1,1) and F(-3,3).

If the midsegment is parallel to DE, then the end points of the midsegment are mid point of DF and EF.

Midpoint formula.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Midpoint of DF,

Midpoint=(\frac{1-3}{2},\frac{4+3}{2})

Midpoint=(-1,3.5)

Midpoint of EF,

Midpoint=(\frac{1-3}{2},\frac{1+3}{2})

Midpoint=(-1,2)

Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).

3 0
3 years ago
Write 7 16/25 as a decimal.​
Burka [1]
Hi! your answer should be 7.64 if I am not mistaken
6 0
3 years ago
Is 10 a perfect square? Is 100 perfect square? Explain
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6 0
3 years ago
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