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3 years ago

What is the measure of the tangent AB?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

4 0

We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
so
AB²=BD*BC
BD=12
BC=12+15----> BC=27
AB²=12*27----> 324
AB=√324----> AB=18

the answer is
AB=18 units

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4 years ago

Keiko, Dale, and Jose have a total of $107 in their wallets. Jose has 3 times what Dale has. Keiko has $8 less than Dale. How mu

olga2289 [7]

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Amount in Dale's wallet :$23

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Step-by-step explanation:

Let the money in Dale's wallet be $X

Given Jose has 3 times money than what Dale has.

if Dale has $X then Jose has $3X.

Also Keiko has $8 less than Dale

if Dale has $X then Keiko has $X - $8

Also Keiko, Dale, and Jose have a total of $107 in their wallets.

Writing this in form of mathematical expression with their value of money in terms of X we have given below equation.

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3 years ago

The LCM of 4, 9, and 10 is _______. 36 180 40 90

Anna [14]

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

Stay safe and Merry Christmas! :)

8 0

3 years ago

Read 2 more answers