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Lera25 [3.4K]
2 years ago
12

Please help me with this question

Mathematics
1 answer:
Wittaler [7]2 years ago
7 0

Answer:

x = 8

Step-by-step explanation:

Since < A and < B are vertical angles, then it means that they have the same measure.

Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:

We can set up the following equation to solve for the value of x:

m < A  = m < B

(3x - 21)° = (2x - 13)°

3x - 21 = 2x - 13

Subtract 2x from both sides:

3x - 2x - 21 = 2x - 2x - 13

x - 21 = -13

Add 21 to both sides to isolate and solve for the value of x:

x - 21 + 21 = -13 + 21

x = 8

We must verify if we have the correct value for x by plugging in 8 into the equality statement:

(3x - 21)° = (2x - 13)°

[3(8) - 21]° = [2(8) - 13]°

(24 - 21)° = (16 - 13)°

3° = 3° (True statement. This means that we have the correct value for x).

Therefore, the value of x = 8.

Please mark my answers as the Brainliest, if you find this solution helpful :)

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leva [86]
Answer is B. Have a nice day.
5 0
2 years ago
I don’t understand this at all
Mnenie [13.5K]

Answer:

B = 61.0

Step-by-step explanation:

Since this is a right angle, we can use trig functions

sin theta = opp side/ hypotenuse

sin B = 7/8

Take the inverse of each side

sin ^-1 ( sin B) = sin ^ -1 (7/8)

B =61.04497563

To the nearest tenth

B = 61.0

5 0
2 years ago
What is X squared +3x-70
Aleksandr-060686 [28]

Answer:

x = 7, x = -10

Step-by-step explanation:

x^2+3x-70 = 0

Use the quadratic formula.

x = \frac{-3 + \sqrt{3^2-4(1)(-70)} }{2(1)} \\x = \frac{-3 - \sqrt{3^2-4(1)(-70)} }{2(1)} \\

Solve.

x = 7, x = -10

You can also factor if you want - that is a faster method.

8 0
3 years ago
Geometry picture added
Nikitich [7]
X and Z equal 72
Y equals 108.

This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
5 0
3 years ago
Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number
laila [671]

Answer:

–0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5.  The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value.  The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5

5 0
3 years ago
Read 2 more answers
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