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3 years ago

The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .

Mathematics

1 answer:

kotegsom [21]3 years ago

4 0

Answer:

Step-by-step explanation:

All three sides are equal

2x-7 = x+y-9 = y+5

Using the last two

x+y-9 = y+5

Subtract y from each side

x+y-9-y = y+5-y

x-9 = 5

Add 9 to each side

x -9+9 = 5+9

x=14

We know the side length is

2x-7

2(14) -7

28-7

The side length is 21

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What is the area of this rectangle in square yards?

Vikentia [17]

In the comment of the other answer, you said that the rectangle is 24 x 18 ft.

First, we have to find out how many square feet that is, and then we can convert it to square yards.

The area of a rectangle is the length multiplied by the width.

A = l x w
A = 24 x 18
A = 432 square feet

To find out how many square yards that is, we divide it by 3, because 1 yard is 3 feet.

432 ÷ 3 = 144

The area of a 24x18ft rectangle is 144 square yards.

7 0

3 years ago

Which ordered pairs are solutions to the inequality 2x+y>−4?

hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

$2x+y>-4$

$y>-2x-4$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-12)$

Substitute the value of x and y in the inequality

$-12>-2*5-4$

$-12>-14$ ------> is True

therefore

the ordered pair $(5,-12)$ is a solution of the inequality

case b) $(-3,0)$

Substitute the value of x and y in the inequality

$0>-2*-3-4$

$0>2$ ------> is False

therefore

the ordered pair $(-3,0)$ is not a solution of the inequality

case c) $(-1,-1)$

Substitute the value of x and y in the inequality

$-1>-2*-1-4$

$-1>-2$ ------> is True

therefore

the ordered pair $(-1,-1)$ is a solution of the inequality

case d) $(0,1)$

Substitute the value of x and y in the inequality

$1>-2*0-4$

$1>-4$ ------> is True

therefore

the ordered pair $(0,1)$ is a solution of the inequality

case e) $(4,-12)$

Substitute the value of x and y in the inequality

$-12>-2*4-4$

$-12>-12$ ------> is False

therefore

the ordered pair $(4,-12)$ is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality

7 0

3 years ago

Read 2 more answers

Given an actual demand of 64, a previous forecast of 59, and an of .3, what would the forecast for the next period be using simp

BartSMP [9]

Answer: 60.5

Step-by-step explanation:

The forecast for the next period using the simple exponential smoothing method is given by:

$D\times \alpha+F(1-\alpha)$ , where D= actual demand for the recent period, $\alpha=$ smoothing factor, F= forecast for the recent period .

Given: D= 64, $\alpha=0.34$ , F= 59

The forecast for the next period = $64\times0.3+59(1-0.3)$

$\\\\= 64\times0.3+59\times0.7\\\\=19.2+41.3\\\\=60.5$

Hence, the forecast for the next period = 60.5

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3 years ago

The measure of an angle is 60° less than nineteen times the measure of its supplement. what is the measure of the angle?

DerKrebs [107]

Two angles are supplementary when they add up to 180 degrees.

x = angle
19x-60 = supplement angle

x + 19x - 60 = 180
20x = 180 + 60
20x = 240
x = 240/20
x = 12° ← answer

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3 years ago

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Zepler [3.9K]

Answer:87.5

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3 years ago