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hjlf
3 years ago
6

How do I solve this? Show work please

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

x=5 so x+1 = 6 and x+3 = 8

Step-by-step explanation:

It's all about proportions.    These are similar triangles, so corresponding sides are proportional.  Basically you want to solve an equation \frac{x+1}{x+3} = \frac{3}{4}

Let me know if you cannot see how EG corresponds to GH or how EF corresponds to IH.

Anyway, from here we just solve.  Again, let me know if you have any questions.

4(x + 1) = 3(x + 3)

4x + 4 = 3x + 9

x = 5

And you can check

[tex]\frac{6}{8} = \frac{3}{4}[/tex

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I'll do a and e on the first one to show you how to do it

Then See if you can do the rest

a. 6(-3)<span><span>
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When your multiplying or dividing with negative numbers; If one of your numbers is negative like the one above, your answer will be negative

So 6 × 3 = 18 ; but since there is a negative on the 3 your answer will be -18

e. -20 ÷ 5

same for this; 20 ÷ 5 = 4, but since the 20 is negative the answer will be <span>-4

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</span>Now for the second question <span>

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</span>a. 4(-2 \frac{1}{3}) + 7 \frac{1}{6}
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3 years ago
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42-m-42-m squar
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Side length of the square = 42m

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