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Bond [772]
3 years ago
13

Please help urgent 168 ≥7(-8x+8)

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

\boxed {x \geq -2}

Step-by-step explanation:

Solve for the following inequality:

168 \geq 7(-8x + 8)

-Divide both sides by 7:

\frac{168}{7} \geq -8x + 8

24 \geq -8x + 8

-Switch sides:

24 \geq -8x + 8

-8x + 8 \leq 24

-Subtract 8 to both sides:

-8x + 8 - 8 \leq 24 - 8

-8x \leq 16

-When you are dividing an integer by a <u>negative</u> integer, then the inequality sign changes. So, divide both sides by -8:

\frac{-8x}{-8} \leq  \frac{16}{-8}

\boxed {x \geq -2}

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jolli1 [7]
<h3>Answer: choice A) </h3><h3>tan(Y) = 6/7 and tan(Z) = 7/6</h3>

Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides

tan(angle) = opposite/adjacent

For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,

tan(Y) = XZ/XY = 6/7

For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6

tan(Z) = XY/XZ = 7/6

We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.

4 0
3 years ago
The distance between two parks on a city map is 1.8 inches. The actual distance between the parks is 2 miles. In the same city,
Pepsi [2]

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7 0
3 years ago
Read 2 more answers
The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
ycow [4]

The length of the longer base is 41 ft.

<u><em>Explanation</em></u>

Lets assume, length of one base is x ft.

As, another base is 19 less than five times the length of this base, so the length of another base = (5x- 19) ft.

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, A=\frac{1}{2} (a+b)*h , where a, b = Two bases of trapezoid and h = height of the trapezoid.

Given in the question: A= 477 and h= 18

We have also two bases as: a= x and b= 5x-19

So, according to the above formula...

A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12

So, length of one base is 12 ft  and another base =(5*12-19)ft =(60-19)ft = 41 ft

That means, the length of the longer base is 41 ft.



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Vladimir79 [104]
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