If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

6 0

3 years ago

A girl stands on a carousel and rotated around the ride 6 times if the distance between the girl and the center of the carousel

Lesechka [4]

Answer:

301.74 feet

Step-by-step explanation:

Given:

A girl stands on a carousel and rotated around the ride 6 times.

The distance between the girl and the center of the carousel is 8.

It means radius, r = 8 feet

Question asked:

How many feet did the little girl travel ?

Solution:

As here asked that how many feet the little girl traveled during rotation around the ride 6 times, we will find circumference of the circle.

$Circumference\ of \ circle =2\pi r$

$=2\times\frac{22}{7} \times8\\ =\frac{352}{7} \\ =50.29\ feet$

Now, we will multiply this by 6 as she rotated around the ride 6 times.

$6\times50.29=301.74\ feet$

Thus, the little girl traveled 301.74 feet during this ride.

8 0

3 years ago