3 years ago

Someone please help me out with this question please

Mathematics

1 answer:

vova2212 [387]3 years ago

5 0

Use Photomath , it will help all of your questions

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14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a

lubasha [3.4K]

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

$10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}$

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

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Find the product and write in lowest term. Give me an integer or simplified fraction. 7/54×27/35

wariber [46]

The product of given expression is $\frac{1}{15} \text{ or } 0.0667$

Solution:

Given that we have to find the product and write it in lowest term

Given expression is:

$\frac{7}{54} \times \frac{27}{35}$

Let us first find common factors of numerator and denominator so, thet simplification becomes easier

$54 = 27 \times 3\\\\35 = 7 \times 5$

Substituting these in above expression, we get

$\rightarrow \frac{7}{27 \times 3} \times \frac{27}{7 \times 5}$

Cancel the common factors in numerator and denominator

$\rightarrow \frac{1}{15}$

In decimal form, we get

$\rightarrow \frac{1}{15} = 0.0667$

Thus the product of given expression is $\frac{1}{15} \text{ or } 0.0667$

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Step-by-step explanation:

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