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Greeley [361]
2 years ago
9

In the figure, RV, WS, and QT intersect at point P. What is the value of x? Show your work.

Mathematics
1 answer:
DedPeter [7]2 years ago
6 0

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

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The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

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2 years ago
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belka [17]

Answer: c

Step-by-step explanation:

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2 years ago
An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh
Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0
3 years ago
(Ch. 6, p. A man bought a trampoline for his children to use. The trampoline has a diameter of 17 feet. If the man wishes to put
iVinArrow [24]

Diameter D of the trampoline = 17 feet

The circumference C, of the trampoline is calculated by the formula:

C=\pi D

Put D = 17 feet, π=3.14

\begin{gathered} C=3.14\times17\text{feet} \\ C=53.38\text{feet} \end{gathered}

The cirucmference o

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9 months ago
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