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Brums [2.3K]
3 years ago
8

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x + y = 10 y = x – 5 A. (5, 0) B

. (7, 2) C. (9, –8) D. (8, –6)
Mathematics
2 answers:
erica [24]3 years ago
8 0
It would be A.) (5,0)
antiseptic1488 [7]3 years ago
3 0

Answer:

A ) ( 5 ,0 ) .

Step-by-step explanation:

Given  : 2x + y = 10

y = x – 5.

To find : Use the substitution method to solve the system of equations.

Solution  : We have given

2x + y = 10 -------(1)

y = x – 5---------(2).

Plug y = x -5 in equation 1

2x + x - 5  = 10 .

3x -5 = 10 .

On adding both sides by 5 .

3x = 10 + 5 .

3x = 15

On dividing by 3 both sides

x = 5 .

Now,  plug x = 5 in equation 2

y = 5 -5

y= 0 .

( 5 ,0 )

Therefore, A ) ( 5 ,0 ) .

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I need help quickly, I'm preparing for a test! Help is appreciated!
wel

The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.

Then the other two angles and the side CA will be

The side CA is given by the cosine rule. Then we have

\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \  in

Then angle A will be given by the sine rule. Then we have

\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A  \ \  \ \ = 65.37^0

Then the angle C will be

     ∠A + ∠B + ∠C = 180°

65.37° + 97° + ∠C = 180°

                       ∠C = 17.63°

More about the trigonometry link is given below.

brainly.com/question/22698523

#SPJ1

6 0
2 years ago
The combined (verbal + quantitative reasoning) score on the GRE (Graduate Record Exam) is normally distributed with mean 1049 an
elena-14-01-66 [18.8K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given The following :

Assume score is normally distributed with;

Mean (m) = 1049

Standard deviation (sd) = 189

Numbw rof observations (n) = 16

A) What is the probability that one randomly selected student scores above 1100 on the GRE?

Zscore = (x - m) / sd

X = 1100

Zscore = (1100 - 1049) / 189

Zscore = 51 / 189 = 0.27

From z-table ; 0.27 correspond to 0.6064

P(X > 1100) = 1 - P(X < 1100) = 1 - 0.6064 = 0.3936

2) sample mean will be equal to population mean = 1049

Sample Standard deviation : (population standard deviation / sqrt (n))

= 189 / sqrt(16) = 189/4 = 47.25

Shape of distribution is approximately normal

3)

P(Z < 1100)

X = 1100

Zscore = (x - m) / standard error

Standard Error = population standard deviation / sqrt (n)

= 189 / 4 = 47.25

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

From z-table :

P(Z < 1100) = 0.8599

4)

D.)

P(Z > 1100)

X = 1100

Zscore = (x - m) / SE

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

From z-table :

P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.140

E)

With a sample size of 64

Standard Error becomes:

189 / sqrt(64) = 189/ 8 = 23.63

Zscore = (1100 - 1049) / 23.63

Zscore = 51 / 23.63 = 2.16

P(Z > 2.16) = 1 - P(Z < 2.16) = 1 - 0.9846 = 0.0154

Probability is less due to increase in sample size

4 0
3 years ago
The ratio of length to breath of a room is 7:5, find the length is the breath is 10cm
8090 [49]

Answer:

let the length be x

here ratio=7:5

breadth = 10cm

length=?

now,

7/5=x/10

or,5×x=7×10

or,5x=70

or,x=70÷5

or x =14

so the length of room is 14 cm

4 0
3 years ago
Which is a counterexample for the conditional statement shown?
ziro4ka [17]

Answer: the points from a line

Step-by-step explanation:

I just did the test

8 0
3 years ago
D.
erastovalidia [21]
believe the answer is A. 7(6+2)
7 0
3 years ago
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