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MAVERICK [17]
2 years ago
13

Examine △ABC shown below. What is the measure of angle B?

Mathematics
1 answer:
zimovet [89]2 years ago
7 0

Answer:

b = 57.6

Step-by-step explanation:

23 +3x +13 +2x=180

add the x's

5x

add the others

23+13=36

subtract 36 on both sides

36-36=0

180-36= 144

now get your 5x and divide by 5 on both sides

5/5 cancels out

144/5= 28.8

x= 28.8

now to find b

2·28.8= 57.6

to find 3x do the same

3 · 28.8 = 86.4

now double-check your answer by adding them all up and seeing if it = 180

57.6+86.4+36=180

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Answer:

Mode

Step-by-step explanation:

Mean:

Before replacing = 464/8 = 58

After replacing 42 with 98 = 520/8 = 65

Mode:

Before replacing = 42

After replacing 42 with 98 = 98

Median:

25, 42 , 42 , 47, 55 , 59, 96,98

Before replacing =  47+55/2 = 51

25, 42 ,  47, 55 , 59, 96,98 , 98

After replacing 42 with 98 =  55+59/2 = 114/2 = 57

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3 years ago
The mean spent on lottery tickets is normally distributed with a mean of $6.50 and a standard deviation of $2.25. If one custome
Natasha_Volkova [10]
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Then, using a z score table, we find the probability of 1.33 and -1.11, and subtract them to determine the probability in between.
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7 0
3 years ago
How many solutions does this linear system have?
Andrews [41]

Answer:

x = 0 , y = 4

Step-by-step explanation:

Solve the following system:

{y = 4 - 3 x | (equation 1)

x + 2 y = 8 | (equation 2)

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{3 x + y = 4 | (equation 1)

x + 2 y = 8 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + y = 4 | (equation 1)

0 x+(5 y)/3 = 20/3 | (equation 2)

Multiply equation 2 by 3/5:

{3 x + y = 4 | (equation 1)

0 x+y = 4 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 0 | (equation 1)

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Answer: {x = 0 , y = 4

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3 years ago
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tangare [24]

Answer:

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y = (69.84 - 0.06x) / 0.15

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8 0
3 years ago
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