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eduard
2 years ago
12

What is the measure of ∠EFG in the triangle shown?

Mathematics
2 answers:
bagirrra123 [75]2 years ago
5 0

Answer:

B

Step-by-step explanation:

57+65= 122

180-122= 58

saw5 [17]2 years ago
4 0

Answer:

58

Step-by-step explanation:

Angles in a triangle add up to equal 180

So 65 + 57 + ? must equal 180

Solve for ?

65 + 57 + ? = 180

Combine like terms

122 + ? = 180

Subtract 122 from both sides

122 - 122 + ? = 180 - 122

? = 58

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2 years ago
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Two friends visited a taffy shop. Rachel bought 4 pounds of strawberry taffy and 6 pounds of banana taffy for $44. Next, Pablo b
iris [78.8K]

Answer:

The cost of the candy is

$5 for strawberry taffy and

$4 for banana taffy

Step-by-step explanation:

Here we have

Let the strawberry taffy  be = S and

the banana taffy = B

The system of equation becomes

4·S + 6·B = $44......................(1)

2·S + 5·B =$30.......................(2)

To solve the equations, we multiply equation (2) by 2 to get

2×(2·S + 5·B) =$30. × 2

4·S +10·B = $60.......................(3)

We subtract equation (1) from equation (3) to get

(4·S +10·B)-(4·S + 6·B) = $60 - $44

4·B = $16 or B = $16/4 = $4

Therefore, from equation (2) we have

2·S + 5×$4 =$30 or

2·S = $30 - $20 = $10

S = $10/2 = $5

The candy costs

Strawberry taffy = $5 and

Banana taffy = $4

3 0
3 years ago
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Your last doctor’s visit cost $105. Health insurance through your employer paid $84, and you paid the remaining $21. What percen
koban [17]

Answer:

You paid 20% of the cost.

Step-by-step explanation:

6 0
2 years ago
Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was
Marizza181 [45]

Answer:

The raw score for his exam grade is 99.69.

Step-by-step explanation:

Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.

To find : What is the raw score for his exam grade?

Solution :

The formula use to find the z-score is

z=\dfrac{x-\mu}{\sigma}

Where, z=1.67 is the z-score

\mu=88  is the means

\sigma=7 is the standard deviation

x  is the raw score for his exam grade

Substitute the values,

1.67=\dfrac{x-88}{7}

1.67\times 7=x-88

11.69=x-88

x=88+11.69

x=99.69

Therefore, the raw score for his exam grade is 99.69.

7 0
3 years ago
How do you solve for a missing component x ? 180:x::12:24
VMariaS [17]
So, what it is saying in words is 180 is to x as 12 is to 24. So, determine what relates the second half of the problem, which would be 12 is half of 24. Therefore, 12 times 2 is 24. So, x is 360 because 180 times two is 360.
8 0
3 years ago
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