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trapecia [35]
3 years ago
15

−8 ≤ 2/5 (k−2) Can you please provide the step by step to get to the answer? Thanks!

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

k ≥ -18

Step-by-step explanation:

-8 ≥ 2/5(k-2)

-8 ≥ 2/5k - 4/5

(-8 ≥ 2/5k - 4/5) 5

-40 ≥ 2k - 4

+4           +4

-36 ≥ 2k

-36 divided by 2

2 divided by 2

-18 ≥ k

flip the greater than or equal to sign to the k.

k ≥ -18

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julia-pushkina [17]

Answer:

The length of side <em>b</em> is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle ABC is similar to the triangle XYZ. Therefore the following relation must be true:

                                                      \frac{AB}{AC} =\frac{XY}{XZ}

We know that side AB is equal to 8, side AC is equal to <em>b, </em>side XY is equal to 2\frac{2}{3}, and side XZ is equal to 3.

Substituting these values into the above relation and solving for <em>b</em> we get that:

\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9

5 0
3 years ago
A rectangle has a width of 53 cm and a perimeter of 216 cm what is the rectangles length
elena55 [62]

Answer:

4.08

Step-by-step explanation:

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2 years ago
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ValentinkaMS [17]
I believe the answer is B.



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irinina [24]

plug in 6 for x and 17 for y

so, 4(6)+5(17)=109

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3 years ago
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Integrity is all about behavior that is honest and forthright. Employees who have integrity are transparent in their actions and willing to do the right thing, even if it means personal sacrifice.

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