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3 years ago

Does anyone know how to do this

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

Answer:

x=23,y=7,z=11

Step-by-step explanation:

it say that both of the triangle are same

13y-1=90

y=7

2x-7=39

x=23

6z-4=62

z=11

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3x + y =11<br> 5x - y = 21<br> Solve each system of equations by elimination. Answer QUICK!!!!!!!

julia-pushkina [17]

Answer/Step-by-step Explanation:

1. 3x + y = 11 => equation 1

5x - y = 21 => equation 2

Subtract equation 2 from equation 1 to eliminate y variable

3x + y = 11

5x - y = 21

-2x = - 10

Divide both sides by -2

-2x/-2 = -10/-2

x = 5

Substitute x = 5 into equation 1 or 2:

3x + y = 11 => equation 1

3(5) + y = 11

15 + y = 11

y = 11 - 15 (subtraction 15 from each side)

y = -4

Solution: x = 5, y = -4

2. 5x + 12y = -34 => equation 1

2x + 4y = -12 => equation 2

Multiply equation 1 by 2, multiply equation 2 by 5.

2(5x + 12y = -34) => 10x + 24y = -68 => eqn 3

5(2x + 4y = -12) => 10x + 20y = -60 => eqn 4

Subtract eqn 4 from eqn 3

4y = -8

Divide both sides by 4

y = -2

Substitute y = -2 into equation 2

2x + 4y = -12 => equation 2

2x + 4(-2) = -12

2x - 8 = -12

2x = -12 + 8 (adding 8 to both sides)

2x = -4

Divide both sides by 2

x = -2

Solution: x = -2, y = -2

7 0

3 years ago

What is the sine ratio for ∠C?

KatRina [158]

Answer:

B & C

Step-by-step explanation:

$sin C = \frac{AB}{AC} = \frac{12}{13}$

$cosC=\frac{BC}{AC} = \frac{6}{10}$

3 0

3 years ago

Read 2 more answers

Is the histogram symmetric, skewed right, or skewed left? Explain your answer .

belka [17]

Answer:

It’s skewed left

Step-by-step explanation:

The main mass of the graph is on the left. Follow the shape of the graph to find this

6 0

3 years ago

10 - 5 2/3 = ? i need this for math

Katarina [22]

Answer:

4 1/3

Step-by-step explanation:

10 - 5 2/3

30/3 - 17/3 = 13/3 = 4 1/3

8 0

3 years ago

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As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0

4 years ago