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DENIUS [597]
3 years ago
9

Find the value of x. Then find the measure of each labeled angle. x = 37.5; the labeled angles are 77.5º and 102.5º. x = 37.5; t

he labeled angles are 37.5º and 142.5º. x = 15; both labeled angles are 55º. x = 25; both labeled angles are 65º.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

x = 25; both labeled angles are 65º

Step-by-step explanation:

To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.

In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.

Thus,

(3x - 10)° = (x + 40)°

Solve for x

3x - 10 = x + 40

Subtract x from both sides

3x - 10 - x = x + 40 - x

3x - x - 10 = x - x + 40

2x - 10 = 40

Add 10 to both sides

2x - 10 + 10 = 40 + 10

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

*Plug in the value of x to find the measure of each labelled angles:

(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°

(x + 40)° = 25 + 40 = 65°

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CCSS Math 7
Andre45 [30]

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

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7 0
2 years ago
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rewona [7]
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Step One: Subtract 1 from 3 which is 2
<span><span>5<span>(<span>3 − 1</span>) </span></span>+ 4

Step Two, Multiply 5 by 2 which is 10</span><span>=<span><span><span>(5)</span><span>(2) </span></span>+ 4

Step Three, Add 4 to 10 which is 14</span></span><span>=<span>10+4

</span></span><span>=<span>14

Answer:
(A)14

Hope this helps!
</span></span>
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3 years ago
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