Solve for x: x = Answers: 22.5 30 45

Mathematics

1 answer:

AVprozaik [17]2 years ago

6 0

Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS

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Elainas old bicycle had tires with a 12-inch diameter her new bicycle had tires with a 16-inch diameter what is the difference i

mr Goodwill [35]

Answer:

The difference between the circumference of the tires is 12.56 inches.

Step-by-step explanation:

Given:

Diameter of old bicycle tires = 12 inch

Diameter of new bicycle tires = 16 inch

We need to find the difference in circumference of the tires.

Solution:

First we will find the circumference of Old bicycle tires.

Circumference can be calculated by π times diameter.

Circumference of Old bicycle tire = $\pi \times 12 = 37.68\ in$

Now we will find the circumference of new bicycle tire.

Circumference of New bicycle tire = $\pi \times 16 = 50.24\ in$

Now to find the difference between the circumference of the tires we will subtract Circumference of New bicycle tire from Circumference of Old bicycle tire we get;

framing in equation form we get;

difference between the circumference of the tires = $50.24-37.68 =12.56\ in$