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borishaifa [10]
2 years ago
5

Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1 2 . Which reason justifies her solution? *A) Karl

a says that to solve the equation you first add 15 and then multiply by 10. *B) Karla says that to solve the equation you first multiply by 10 and then add 15. *C) Karla says that to solve the equation you first subtract 15 and then divide by 10. *D) Karla says that to solve the equation you first divide by 10 and then subtract 15
Mathematics
1 answer:
Sav [38]2 years ago
8 0
C. Karla says that to solve the equation you first subtract 15 and then divide by 10.

Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2

10x + 15 = 20
10x = 20 - 15 (subtract 5)
10x = 5 (divide by 10)
x = 5/10 = 1/2
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In circle O, AC and BD are diameters.
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Answer:

mArc A B = 120° (C)

Step-by-step explanation:

Question:

In circle O, AC and BD are diameters.

Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.

What is mArc A B?

a)72°

b) 108°

c) 120°

d) 144°

Solution:

Find attached the diagram of the question.

Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x

From the diagram,

m Arc AOC = 180° (sum of angle in a semicircle)

∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)

x° +x° + x° =180°

3x = 180

x = 180/3

x = 60°

m Arc DOB = 180° (sum of angle in a semicircle)

∠AOB + ∠AOD = 180° (sum of angles on a straight line)

∠AOB + x° = 180

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5 0
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A checkbook balance sheet shows an initial balance for the month of $300. During the month, checks were written in the amounts o
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Step-by-step explanation:

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A sample of tritium-3 decayed to 94.5% of its original amount after a year.
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(b)
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