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3 years ago

The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?

1 answer:

3 0

The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.

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While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to

SashulF [63]

Answer: x=5.6

Step-by-step explanation:

3 0

3 years ago

In the diagram below, if the measure of < C = 45 °, and side AC = 10, then side BC = _____.

Softa [21]

Solution:

Given:

Using the trigonometric ratio of cosine,

$\begin{gathered} cos\theta=\frac{adjacent}{hypotenuse} \\ cos45=\frac{BC}{10} \\ BC=10\times cos\text{ 45} \\ BC=10\times\frac{\sqrt{2}}{2} \\ BC=5\sqrt{2} \end{gathered}$

Therefore, OPTION A is correct.

8 0

1 year ago

A rectangular prism has a volume of 432 in3. The height of the prism is 9 in. What are the dimensions of the base?

11Alexandr11 [23.1K]

Volume of a rectangular prism = w*h*l or Bh, where B is the BASE
432=B*9
432/9 = B
48=B
The base dimensions are 48 in^3

6 0

3 years ago

Which double fact in this number

egoroff_w [7]

The third one :3
i hope it helps
sorry if ti is wrong

5 0

3 years ago

two numbers have these properties, both numbers are greater than 8. Their highest common factor is 8. their lowest common muliti

mafiozo [28]

Answer:

16 and 40

Step-by-step explanation:

Hello,

We need to find the factors of 80

1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.

Which can be 2, 2, 2, 2, and 5 (these numbers would go into all the factor completely without any reminder.)

This leaves us with two numbers 2 and 5

If the highest common factor (H.C.F) of both numbers is 8

And the lowest common multiple (L.C.M) = 80

Multiply the numbers by the highest common factor (H.C.F)

2 × 8 = 16

5 × 8 = 40

The numbers are 16 and 40

8 0

3 years ago