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3 years ago

14

Richelle drew a hexagon KLMNOP at the right. She thinks the hexagon has six congruent angles. How can she show that the angles a

re congruent without using a protractor to measure them?

1 answer:

Ipatiy [6.2K]3 years ago

5 0

By using a ruler? If all six sides are the exact same size, they have all same angles.

Hope you get it!

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1. What is the area of the figure below?. . . 18 in². 30 in². 36 in². 60 in².

wel

Area of parallelogram<span>=</span><span>base x </span><span>height
Given :
Base = 12 in.
Height = 3 in.

Hence,
Area = 12 x 3
= 36 in. square</span>

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3 years ago

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(2)<br> 2. Explain why (1/2) x (1/2) x (1/2) = (1/8)

White raven [17]

Answer:

2×2×2=8 the LCM is 8

=1/8

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3 years ago

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Simplify (5.7+2.2)-1.1

FrozenT [24]

Hey !! here is your answer --

(5.7+2.2)-1.1

= 7.9 -1.1

= 6.8

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3 years ago

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6m - 8 = 2 + 9m - 1 Show your work and answer.

Nookie1986 [14]

6m-8 = 2+9m-1

6m-9m = 2+8-1

-3m=9

m = -3

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3 years ago

Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi

scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

$\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

Upon substituting our given values in above formula we will get,

$\text{Sin(30)}=\frac{37.5}{L}$

$L=\frac{37.5}{\text{Sin(30)}}$

$L=\frac{37.5}{0.5}$

$L=75$

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

$\text{75 inches}=\frac{75\text{ inches}}{\frac{12\text{ inches}}{\text{feet}}}$

$\text{75 inches}=\frac{75\text{ inches}}{12}\times \frac{\text{ feet}}{\text{inches}}$

$\text{75 inches}=\frac{75}{12}\times\text{ feet}$

$\text{75 inches}=6.25\text{ feet}$

Therefore, the length of the ramp is 6.25 feet.

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3 years ago

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