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3 years ago

In the diagram below, value of x is: A. 11 B. 55 C. 5 D. 35

Mathematics

1 answer:

koban [17]3 years ago

3 0

Sum of complementary angles = 90
so
5x + 35 = 90
5x = 90 -35
5x = 55
x = 11

answer is A.
x = 11

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What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

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162 divides by 2,

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27 divides by 3,

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$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

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$a=3, b=4$

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Thus, Option C is the correct answer.

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