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VARVARA [1.3K]
2 years ago
14

In the diagram below, AB and TC are tangent to 0. Which equation could be solved to find x, the measure of AC?

Mathematics
1 answer:
LekaFEV [45]2 years ago
4 0

The  equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)

<h3>Circle theorem</h3>

The given diagram shows two intersecting lines tangential to a circle at points A and C.

Using the theorem that states, the measure of the angle at the vertex is equal to the half of the difference of the measure of the intercepted arcs.

Mathematically;

<B = 1/2(arcADC - arcAC)

58 = 1/2(238 -x)

Hence the  equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)

Learn more on circle theorem here: brainly.com/question/26594685

#SPJ1

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A

Step-by-step explanation:

They are basically wanting the value of x.

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Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

(x+1)(x+1+11)=(x+4)(x+4+1)

Let's multiply and find the value of x:

(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2

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8 0
3 years ago
G(x) = 4x + 3; Find g(10)
adelina 88 [10]

Answer:

43

Step-by-step explanation:

g(x)=4x+3

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8 0
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56 57 and 58 are the three numbers that work
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4 years ago
A small theater with 200 seats sells two kinds of tickets for a performance. Premium tickets sell for $20 each and Standard tick
KATRIN_1 [288]
P + s = 200......p = 200 - s
20p + 15s = 3400

20(200 - s) + 15s = 3400
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s = -600/-5
s = 120 <=== there were 120 standard tickets sold

p + s = 200
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p = 80 <=== there were 80 premium tickets sold
7 0
4 years ago
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