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3 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer: x= 34

Step-by-step explanation:

Given: The measurement of the angles of the quadrilateral are as

First angle=88°

Second angle=108°

Third angle= 2x°

Forth angle =(3x-6)°

Now, The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Therefore,

$88+108+2x+(3x-6)=360\\\Rightarrow196+5x-6=360\\\Rightarrow\ 5x=360-190\\\Rightarrow\ x=\frac{170}{5}\\\Rightarrow\ x=34$

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3 years ago

What is the first step to solve this equation: 11 - 3i = 44

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3 years ago

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Step-by-step explanation:

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4 years ago

(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

$l=\frac{b}{\cos(x)}$ .

$l=\frac{40}{\cos(30)}$

Input into calculator:

$l=46.188$ (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

$h^2+40^2=46.188^2$

$h^2+1600=2133.331$

Subtract 1600 on both sides:

$h^2=533.331$

Take square root of both sides:

$h=23.094$

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

$\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$

$\tan(30)=\frac{h}{40}$

Multiply both sides by 40:

$40\tan(30)=h$

Input into calculator:

$23.094=h$

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0

3 years ago

Read 2 more answers