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Alex Ar [27]
3 years ago
12

A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of

the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.
What is the length of line segment XZ?

4 units
8 units
16 units
20 units
Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

16

Step-by-step explanation:

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John Sells Hamburgers For $3 Each and cheeseburgers for $3.50 each. One afternoon, he sells a total of 24 burgers for $79. How M
Alexxx [7]
Let the hamburgers be x and cheese burgers be y.

x + y = 24
3x + 3.5 y = 79

x = 24 - y.

Substituting the value of x,

3( 24 - y) + 3.5 y = 79

 72- 3y + 3.5 y = 79
72 + 0.5 y = 79

0.5y = 79 - 72 = 7
1/2 y = 7

thus, y = 7 * 2 = 14

Substituting the value for x,

x + y = 24
x + 14 = 24
x = 24-14 = 10
Thus, x = 10.

Thus, she sold 10 hamburgers and 14 cheeseburgers 
4 0
3 years ago
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Licemer1 [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Skylar became a famous skater.She won 86% of her meets.If she had 250 meets in 2014,how many did she win?
Travka [436]
215 meets just multiply 250 by 0.86
3 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12
Helga [31]
First note that x\ge0; otherwise \sqrt{2x} is undefined as long as we're only looking for real solutions.

We can write

\sqrt{2x}+12=x+8
\sqrt{2x}=x-4
2x=(x-4)^2
2x=x^2-8x+16
x^2-10x+16=0
(x-8)(x-2)=0

\implies x=8,x=2
4 0
3 years ago
Which of the following represents the factorization of the binomial below ? x^2 - 144
Dima020 [189]

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

6 0
3 years ago
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