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elixir [45]
3 years ago
8

Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
We are asked to solve for the value of x given that the center is the point C and the ∠ACB is 12x-7 while the given arc is equal to 10x-7. To solve this problem, we need to remember that the summation of angle ACB and angle ADB is equal to 360°. Hence, the solution is shown below:
∠ACB + ∠ADB = 360°
12X - 7 + 10X -7 = 360 , combine same term such as:
22x - 14 = 360 , transpose -14 to the right side such as:
22x = 360 + 14
22x = 374 , divide both sides bu 22
22x/ 22 = 374 / 22
x = 17

The answer to this problem is 17 and this is the value of x.

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Step-by-step explanation:

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The first angle of a triangle is 4 times the number of degrees in the second angle. The third angle of the triangle is 12 degree
xenn [34]

Answer:

1st angle: 128°

2nd angle: 32°

3rd angle: 20°

Step-by-step explanation:

You can start by setting up an equation. 180=x+4x+x-12. It sould all add up to 180 because angles of a triangle always add up to 180, and x represents the second triangle (you use the second angle as x because the other two angles elaborate off of this second angle).  Then you solve. Add 12 to 180 and get 192. Then you can add like terms and make it 192=6x (you add the x's together). Lastly divide 192 by 6 and get 32. So the measurement of angle 2 is 32°. Then you multiply 32 by 4 to get the 1st angle measure, being 128. Lastly subtract 12 from 32 and get 20 for angle three. To check you work add the three angle measures you got and see if they =180, if so then you are correct.

5 0
3 years ago
What is the similarity between 85,17,19,4 and 2?
Anvisha [2.4K]
You can obtain the a number for which they all divisors by calculating the least common multiple.

This way:

85 = 5*17*1
17=17*1
19=19*1
4=2^2 *1
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The least common multiple is: 5*17*19*2^2 = 6,460.

Then 84, 17, 19, 4 and 2 are all divisors of 6,460.
6 0
3 years ago
What is 1/16 times 3​
Lena [83]

Answer:

\bold{\frac{3}{16} }

Explanation:

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= (1 / 16) (3 / 1)

= (1)(3) / (16)(1)

= 3 / 16

4 0
3 years ago
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