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VARVARA [1.3K]
3 years ago
13

Find the measures of each angle. Supplementary angles with measures (2x+3) and (3x+2). A. 64 and 116. B. 53 and 127. C. 63 and 1

17. D. 73 and 107
Mathematics
2 answers:
MakcuM [25]3 years ago
7 0

So since they are supplementary angles, they add up to 180. With this info, we can form the equation 2x+3+3x+2=180


First, combine like terms: 5x+5=180


Next, subtract 5 on each side: 5x=175


Next, divide 5 on both sides, and the answer will be x = 35



Now that we got what x is, we can substitute it into the x of both angles:

2(35)+3\\ 70+3\\ 73


3(35)+2\\ 105+2\\ 107



In short, the correct option is D. 73 and 107.

const2013 [10]3 years ago
4 0

Supplementary means adds to 180 degrees as all the choices do.


2x + 3 + 3x + 2 = 180


5x + 5 = 180


5x = 175


x = 175 / 5 = 35


2(35)+3 = 73

3(35)+2=107


Choice D



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you feel happy with the process on the long division page you can skip the first bit.

divide step 1 4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.

divide step 2 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 3 25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.

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divide step 5 Bring down the next number of the dividend.

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divide step 7 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 8 25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.

divide step 9 43 − 25 = 18 Now we take away the bottom number from the top number.

divide step 10 Bring down the next number of the dividend.

divide step 11 185 ÷ 25 = 7 remainder 10 Divide this number by the divisor.

divide step 12 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 13 25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.

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divide step 15 Now we have reached the end of the whole numbers we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.

divide step 16 Bring down the next number of the dividend.

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divide step 18 The whole number result is placed at the top. Any remainders are ignored at this point.

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divide step 21

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As long as the subtraction gives a number above zero the long division can carry on to as many decimal places as we wish.

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goldenfox [79]

Answer:

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Probability of getting a correct answer: p = 1/4

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probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)

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