For a, x is equal to the sum of the measures of the inside angle because the total degrees of a triangle is 180 and the total degrees of a line is 180. Since both the line and the triangle are missing the same amount, x would equal the interior degrees that are listed. I don’t know what m<x means for b, but if it’s asking for the value of x it’s 62+78= 140° which makes the missing interior angle 40°. Hope this helps!

5 0

3 years ago

An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh

Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0

4 years ago

What is the solution to 4 to the 3rd power =y

JulsSmile [24]

I think the answer is 64

7 0

3 years ago

9 times the sum of b and 2 is 8

Ksivusya [100]

I suppose you want to solve the following equation for b:

$9(b+2)=8$

First of all, you need to divide both sides by 9:

$b+2 = \dfrac{8}{9}$

Then, subtract 2 from both sides:

$b = \dfrac{8}{9}-2 = \dfrac{8}{9}-\dfrac{18}{9} = -\dfrac{10}{9}$

7 0

3 years ago