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Zigmanuir [339]
3 years ago
7

∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

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Dmitrij [34]

Answer:

C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.

Step-by-step explanation:

2x-y=12

-3x-5y=-5

multiply the first equation by -5

-10x +5y = -60

add the 2 equations together

-3x-5y=-5

-10x +5y = -60

-------------------------

-13x = -65

We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation

6 0
3 years ago
−7x−50≤−1 AND−6x+70>−2
fgiga [73]

Answer:

-7\geq x and [-7,12) in interval notation.

Step-by-step explanation:

We have been given a compound inequality -7x-50\leq -1\text{ and }-6x+70>-2. We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

-7x-50\leq -1

-7x-50+50\leq -1+50

-7x\leq 49

Dividing by negative number, flip the inequality sign:

\frac{-7x}{-7}\geq \frac{49}{-7}

x\geq -7

-6x+70>-2

-6x+70-70>-2-70

-6x>-72

Dividing by negative number, flip the inequality sign:

\frac{-6x}{-6}

x

Upon merging both intervals, we will get:

-7\geq x

Therefore, the solution for our given inequality would be -7\geq x and [-7,12) in interval notation.

7 0
3 years ago
James got 5 problems wrong in a test of 40 questions. What percent of the questions did he get correct?
Nutka1998 [239]
40-5=35
35/40=0.875x100=87.5%
8 0
3 years ago
Read 2 more answers
Solve the formula V = bh for h
mixas84 [53]

V = bh Dividing both sides by "b" we get

(V / b) = h


3 0
3 years ago
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Please, help with this question!
tester [92]

Answer:

arc AM = 114°

Step-by-step explanation:

the measure of a tangent- chord angle is half the measure of its intercepted arc, that is

∠ MAC = \frac{1}{2} (AM )

57° = \frac{1}{2} AM ( multiply both sides by 2 to clear the fraction )

114° = AM

5 0
2 years ago
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