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Delicious77 [7]
3 years ago
6

PLEASE ANSWER 20 POINTS

Mathematics
1 answer:
makkiz [27]3 years ago
8 0
X=58 the exterior angle is “D” 60degrees
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Find the two numbers that have a sum of 49 and a difference of 1/2
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49.5 , -0.5

Step-by-step explanation:

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10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
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The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
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Answer:

1. -195

2.-771

3. 2

1. 9

2.-3

3. -10

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Step-by-step explanation:

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2 years ago
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What is the value of x in the proportion below? 8/72 = x/36
barxatty [35]

Answer:

x = 4

Step-by-step explanation:

8/72 = x/36

crossmultiply

8 x 36 = X x 72

288 = 72x

divide both sides by 72

288/72 = x

therefore , x = 4

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3 years ago
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