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2 years ago

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What is the value of x in the figure? Enter your answer in the box. https://www.pearsonrealize.com/community/proxy/assessment/ec

e47a5229f14f23809e522c7feaea7f/images/cc7ff77a-094f-4444-9413-8e05948f4dfe

1 answer:

Alenkasestr [34]2 years ago

8 0

Answer:

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In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer t

prohojiy [21]

<span>To find the answer to this equation, use the result of "27 people" who prefer tea. This is equivalent to 3 out of 10 people in the whole survey sample. Using equivalent fractions to find the total sample, we see that "3/10 = 27/x." Multiplying 3 by 9 gives 27, so multiplying 10 by 9 gives a total sample size of 90 people.</span>

8 0

3 years ago

Solve ( x - 2)( x + 7) =0

lara31 [8.8K]

Answer:

x = 2 or

x = -7

Step-by-step explanation:

(x - 2)(x + 7) = 0

x - 2 = 0

Add 2 to both sides

x - 2 + 2 = 2 + 0

x = 2

OR

x + 7 = 0

Subtract 7 from both sides

x + 7 - 7 = 0-7

x = -7

Therefore

x = 2 or

x = -7

6 0

3 years ago

What is the relationship between 9.125 x 10^-3 and 9.125 x 10^2?

nasty-shy [4]

The answer is 912.509125

5 0

3 years ago

Urgent help ! similar figures use the similarity relationship to find the indicated value

masya89 [10]

Answer:

FE = 28 and YZ = 28

Step-by-step explanation:

In similar triangles the ratios of corresponding sides are equal.

(4)

$\frac{BC}{FG}$ = $\frac{BD}{FE}$ , substitute values

$\frac{39}{4x+2}$ = $\frac{42}{5x-2}$ ( cross- multiply )

39(5x - 2) = 42(4x + 2) ← distribute parenthesis on both sides

195x - 78 = 168x + 84 ( subtract 168x from both sides )

27x - 78 = 84 ( add 78 to both sides )

27x = 162 ( divide both sides by 27 )

x = 6

Thus

FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28

(5)

$\frac{ST}{SZ}$ = $\frac{RT}{YZ}$ , substitute values

$\frac{40}{35}$ = $\frac{3x-7}{2x+2}$ ( cross- multiply )

35(3x - 7) = 40(2x + 2) ← distribute parenthesis on both sides

105x - 245 = 80x + 80 ( subtract 80x from both sides )

25x - 245 = 80 ( add 245 to both sides )

25x = 325 ( divide both sides by 25 )

x = 13

Thus

YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28

5 0

3 years ago

A^2 - b^2 = 2019 i need the answer to win a two dollar bet. both integers have to be positive

pantera1 [17]

$Use\ a^2-b^2=(a-b)(a+b).\\\\a^2-b^2=2109\\\\(a-b)(a+b)=2019\\\\(a-b)(a+b)=3\cdot673\to a-b=3\ \wedge\ a+b=673\\\\\underline{+\left\{\begin{array}{ccc}a-b=3\\a+b=673\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2a=676\qquad\text{divide both sides by 2}\\.\qquad\boxed{a=338}\\\\\text{Put the value of a to the second equation}\\\\338+b=673\qquad\text{subtract 338 from both sides}\\\\\boxed{b=335}\\\\Answer:\ \boxed{a=338\ and\ b=335}$

6 0

3 years ago