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Alex17521 [72]
3 years ago
10

Solve for z. 25z = 175

Mathematics
2 answers:
wariber [46]3 years ago
8 0

Answer: z = 7

Step-by-step explanation:

U first divide both sides by 25

25z/25 = 175/25

z = 7

LUCKY_DIMON [66]3 years ago
6 0

Answer: z = 7

Step-by-step explanation:

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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The ot
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For the hypotenuses to be able to lie on the same line:

The tan of angle in both should be the same. That is the two triangles should be similar.

For the first triangle  tanθ  = 4/10 = 2/5

For the second triangle,  tanθ  = 12/30 = 6/15 = 2/5

Since both angles in the triangle are the same, hence, the hypotenuses of the two triangles could lie along the same line.
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Find the surface area of the composite figure.
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3 years ago
Find the area of the convex polygon with vertices (0,5), (-1,2), (4,4), (-3,-4) and (2,0).
Afina-wow [57]

The area of the convex polygon is 43/2 square units

<h3>How to determine the area of the convex polygon?</h3>

The vertices are given as:

(0,5), (-1,2), (4,4), (-3,-4) and (2,0)

The area is then calculated as:

A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )

So, we have:

A = \frac12 * (|-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 + 2 * -4 - 0 * -3 -3 * 2 + 4 * 1|)

Evaluate

A = \frac12 * (|-43|)

Remove the absolute bracket

A = \frac12 * 43

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Hence, the area of the convex polygon is 43/2 square units

Read more about convex polygon at:

brainly.com/question/14522707

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7 0
2 years ago
Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.
SSSSS [86.1K]

Answer:

180

Step-by-step explanation:

Nightly cost = x

x × 5% = Sales Tax

Total Cost : Percentage

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         x       :        100%

Cross multiply:

189 × 100% = 105% × x

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189 ÷ 1.05 = x

x = 180

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2 years ago
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