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andrey2020 [161]
3 years ago
13

The volume of the box above is 540 in3. If L = 18 inches and W = 5 inches, what is the measure of H?

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:B 6”

Step-by-step explanation:

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The four corners of a square are located at (-7, -2), (-7,5), (0,5), and (0, -2). What is the perimeter of the square?
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Find the values of x, y, and z. The diagram is not to scale.
Kruka [31]

we know that

The sum of the internal angles in the triangle must be 180 degrees

see the attached figure with letters to better understand the problem

Step 1

<u>Find the measure of the angle x</u>

In the triangle ABC

63\°+36\°+x\°=180\°

solve for x

99\°+x\°=180\°

x\°=180\°-99\°

x=81\°

therefore

<u>the answer Part a)  is</u>

the measure of angle x is 81\°

Step 2

<u>Find the measure of the angle z</u>

we know that

x+z=180\° --------> by supplementary angles

substitute the value of x

81\°+z=180\°

z=180\°-81\°

z=99\°

therefore

<u>the answer Part b)  is</u>

the measure of angle z is 99\°

Step 3

<u>Find the measure of the angle y</u>

In the triangle ACD

13\°+z\°+y\°=180\°

solve for y

13\°+99\°+y\°=180\°

112\°+y\°=180\°

y\°=180\°-112\°

y\°=68\°

therefore

<u>the answer Part c)  is</u>

the measure of angle y is 68\°

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Express Express 0.45 as a percent
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What two numbers add to 4 and, when multiplied together, equal −12?
lara31 [8.8K]
<span>Let x = first number
Let y = second number
x + y = 4
x * y = (-12)
Solve the first equation for x.
x = 4 - y
Now substitute this value of x into the second equation.
(4 - y) * y = (-12)
4y - y² = (-12)
y² - 4y - 12 = 0
(y + 2) * (y - 6) = 0
Now set both polynomials equal to zero
y + 2 = 0
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y = 6
If you substituted these two values for y into either equation and solve for x, you would get the combination of 6 and -2

Hope I was able to help you! :)
</span>
4 0
3 years ago
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