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Alex73 [517]
3 years ago
7

In circle O, the measure of ABC is 68. what is the measure of AC?

Mathematics
1 answer:
mixer [17]3 years ago
4 0
Answer:
A.
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.


Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.



Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.
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Since tenths are 10 hundredths in each, 4 tenths equal to 40 hundredths.
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3 years ago
Angle mIJK=180, angle mIJU = 3x-7, and angle mUJK=17x + 7 find angle mIJU
Andrej [43]

Answer:

The measure of angle IJU is 20 degrees.

Step-by-step explanation:

In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.

(3x - 7) + (17x + 7) = 180 ----> Combine like terms

20x = 180 -----> Divide by 20

x = 9

Now that we have this, we can stick the value into the equation and solve for IJU.

IJU = 3x - 7

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3 years ago
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Read 2 more answers
A caterer is preparing a dinner for a party. Shecharges an initial fee of $16 and $8.25 per person. How manypeople can attend a
Dafna1 [17]

Answer:

The nomber of people can attend a dinner that costs $131. 50 is 14.

Step-by-step explanation:

With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:

c=16+8.25x, where:

c is the total cost of he dinner

x is the number of people

Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:

131.50=16+8.25x

131.50-16=8.25x

115.50=8.25x

x=115.50/8.25

x=14

According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.

7 0
2 years ago
Evaluate the expression with the given variable replacements.<br> 2x3 (if x = 3)
MArishka [77]

Answer:

if the expression is 2x^3 then answer is 54

Step-by-step explanation:

2x^3

substitute in x=3

2* (3)^3

= 2*3*3*3

= 2*27

= 54

please give thanks, hit that heart button :) good luck

5 0
3 years ago
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