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Daniel [21]
3 years ago
7

The expression (7+8x)+2x is simplified in several steps below. For each step, choose the reason that best justifies it. No links

please

Mathematics
1 answer:
igomit [66]3 years ago
7 0

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10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

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
Find the value of the expression 63 - 21 + (3 x 11)
bixtya [17]

Answer: First solve the parentheses using order of operations. Then add and subtract from left to right.

Demo:

(3 * 11) = 33

Equation now looks like:

63 - 21 + 33

63 - 21 = 42

Equation now looks like:

42 + 33

42 + 33 = 75

The value of this expression is 75.

5 0
3 years ago
Read 2 more answers
Using the graph as your guide, complete the following statement.
lapo4ka [179]
The answer to this question will be A
6 0
3 years ago
4/11x10/8<br> What is the answer
aliya0001 [1]

Answer:

5/11

Step-by-step explanation:

4/11 × 10/8

= 40/88

= 5/11

8 0
3 years ago
Mathia question order or operations
eduard

Answer:

53

Step-by-step explanation:

Use pemdas

Use P and do (2+2)

then E 2^3 to get 8

Now you have 9-4/4+8*5

Do M and D To get 9-1+45

Now add and subtract to get your answer

7 0
3 years ago
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