Since the sum of the angles of a triangle = 180°

Then <span>80º + (2x + 2)º + 5xº = 180</span>°
82° + (7x)° = 180°
(7x)° = 180° - 82°
x = 98° ÷ 7
∴ x = 14

7 0

3 years ago

Solve for variable its in pre algebra

Natalka [10]

Answer:

Step-by-step explanation:

7 0

1 year ago

What is the answer for this problem 6x+3=5x

liberstina [14]

Okay so the first thing you need to do is move the all the variables to one side of the equal sign

5 0

2 years ago

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the po

Lilit [14]

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

$\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}$

So, the angle of elevation is 36.86 degrees.

4 0

2 years ago