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VARVARA [1.3K]
2 years ago
12

The greatest common factor of two numbers is 4. The sum of the numbers is 76. What are the two numbers? A. 38 and 38 B. 12 and 6

4 C. 18 and 58 D. 32 and 40
Mathematics
1 answer:
Rashid [163]2 years ago
5 0

Answer: B. 12 and 64

Step-by-step explanation:

Option A is incorrect because the highest common factor for both numbers would be 38 not 4.

Option B:

Factors of 12 are: 1, 2 , 3, 4, 6, 12

Factors of 64 are: 1, 2, 4, 8, 16, 32 and 64.

<em>Highest factor of both is 4 and they both add up to 76 so option B must be correct. </em>

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1. The area of the full rectangle is 21 * 28 = 588. We will need this later. 

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

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∠A and ∠B are supplementary. m∠A = (6x + 5), m∠B = (2x + 15). Find the measure of each angle.
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