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Murrr4er [49]
3 years ago
7

In circle p, td¯¯¯¯¯ and tb¯¯¯¯¯ intersect at t. ta=10, tc=8, cd=12, and ab=x+2. find ab. circle p. answer

Mathematics
1 answer:
inysia [295]3 years ago
3 0
The answer is AB = 6.

External value x (external value + internal value) = 
External value x (external value + internal value) of the other side

Substitute, transpose, and simplify.

TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4

To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6

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Write a system of equations using x and y in each for the following
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1) x+y = 170
x-y = 26

2) Subtract the two equations from each other. Doing this you get 2y = 56. 
So the value of y is 28. Then plug in the value of y into any of the two equations and solve for x.

x-28 = 26
x = 54

3) When writing solutions as an ordered pair, the x value always comes first followed by the y value. So it would be (54, 28). 
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Determine the holes, vertical asymptotes, and horizontal asymptotes of the rational function y=3x^2+10x-8/x^2+7x+12
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There would be a hole when x = -4.

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What is the measurement of angle ABC?
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The measurement of angle ABC is

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Hope this helps...

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By how much is the product of 9/5 and 8 1/4 greater than 5
Oliga [24]

Given:

The product of \dfrac{9}{5} and 8\dfrac{1}{4} greater than 5.

To find:

By how much the product of \dfrac{9}{5} and 8\dfrac{1}{4} greater than 5.

Solution:

First we need to find the product of \dfrac{9}{5} and 8\dfrac{1}{4}.

\text{Product}=\dfrac{9}{5}\times 8\dfrac{1}{4}

\text{Product}=\dfrac{9}{5}\times \dfrac{8(4)+1}{4}

\text{Product}=\dfrac{9}{5}\times \dfrac{33}{4}

\text{Product}=14.85

Now subtract 5 from the product.

14.85-5=9.85

Therefore, the product of \dfrac{9}{5} and 8\dfrac{1}{4} is 9.85 greater than 5.

3 0
2 years ago
Match each operation involving f(x) and g(x) to its answer
eimsori [14]

Answer:

(g-f) (-1)= sqrt(15)

(f/g)(-1)= 0

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Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

(g-f)(-1)= g(-1) - f(-1)= \sqrt{11-4*(-1)}    - 1 +(-1)^{2} = \sqrt{15}

Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

3 0
3 years ago
Read 2 more answers
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