Solve for line segment AB

AB = 32

Step-by-step explanation:

Given:

AD = 40

CD = 9

Required:

Find the length of segment AB

Solution:

BC and CD are radius of the circle. Therefore,

BC = CD = 9

AB = AC - BC

AB = AC - 9

We need to find AC

Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.

Therefore, we can apply Pythagorean theorem to find AC.

Thus:

AC² = AD² + CD²

AC² = 40² + 9²

AC² = 1,681

AC = √1,681

AC = 41

Let's find BC:

AB = AC - 9

Plug in the value of AC

AB = 41 - 9

AB = 32

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

answer: 414,377,008

step-by-step explanation:

just multiply it