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8_murik_8 [283]
3 years ago
14

Como simplifica essa expressão: 2*(x+5)+3*(5x+6):​

Mathematics
1 answer:
leva [86]3 years ago
7 0

Answer:

17 x + 28

Step-by-step explanation:

Simplify the following:

2 (x + 5) + 3 (5 x + 6)

Hint: | Distribute 2 over x + 5.

2 (x + 5) = 2 x + 10:

10 + 2 x + 3 (5 x + 6)

Hint: | Distribute 3 over 5 x + 6.

3 (5 x + 6) = 15 x + 18:

10 + 2 x + 18 + 15 x

Hint: | Group like terms in 10 + 2 x + 18 + 15 x.

Grouping like terms, 10 + 2 x + 18 + 15 x = (2 x + 15 x) + (10 + 18):

(2 x + 15 x) + (10 + 18)

Hint: | Add like terms in 2 x + 15 x.

2 x + 15 x = 17 x:

17 x + (10 + 18)

Hint: | Evaluate 10 + 18 using long addition.

| 1 | 8

+ | 1 | 0

| 2 | 8:

Answer: 17 x + 28

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101

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10:17

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Find the following angle measures.<br><br> mEAD = <br> °<br><br><br> mCAB = <br> °
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<u>Part 1)</u> Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=180\° ----> by supplementary angles

solve for m∠EAD

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in this problem we have

m∠DAF=90\°

m∠BAF=61\°

substitute in the formula above

m∠EAD=180\°-90\°-61\°=29\°

therefore

<u>the answer part 1) is </u>

m∠EAD=29\°

<u>Part 2)</u>  Find m∠CAB

we know that

m∠CAB+m∠BAF=180\° --------> by supplementary angles

solve for m∠CAB

m∠CAB=180\°-m∠BAF

in this problem we have

m∠BAF=61\°

substitute in the formula above

m∠CAB=180\°-61\°=119\°

therefore

<u>the answer part 2) is</u>

m∠CAB=119\°

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3 years ago
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