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4 years ago

Use substitution to solve each system of equations.x-2yy=x-2

Mathematics

1 answer:

Helga [31]4 years ago

3 0

Answer:

-x+4

Step-by-step explanation:

x-2y

y= x-2

x-2(x-2)

x-2x+4

-x+4

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Two angles are complementary. The larger angle is 6 more than twice the smaller angle. Write an equation to find the measure of

Tatiana [17]

Let x = the smaller angle

then 2x + 6 = the larger angle

Since they are comlementary, then their sum is 90°

smaller angle + larger angle = 90°

(x) + (2x+6) = 90

3x + 6 = 90

3x = 84

x = 28 (this is the smaller angle)

the larger angle is 2x + 6 = 2(28) + 6 = 56 + 6 = 62

Answer: smaller angle is 28, larger angle is 62

5 0

3 years ago

HELP PLEASE. solve the following equation and check your solution be sure all the work is in order to receive full credit solve

Fiesta28 [93]

Answer:

x=17

Step-by-step explanation:

24-3x=-27

1) Subtract 24 from both sides:

-3x=-51

2) Divide both sides by -3:

x=17

Footnotes:

Don't forget, your goal is to <em>isolate</em> the variable, or get it on one side of the equation

7 0

3 years ago

Alex graphed two lines in order to find the

mario62 [17]

Answer:

It's the point in where they intersect or cross.

7 0

3 years ago

2. Out of 35 students participating in a debate, 10 are girls. The probability that winner is a boy is: a)1/7 b)3/7 c)4/7 d)5/7

Gnoma [55]

Answer: d) 5/7

Step-by-step explanation:

10 out of 35 of the students are girls. The number of boys is therefore:

= 35 - 10

= 25 boys

Probability that the winner is a boy is:

= 25/35

Take that fraction to the simplest by dividing both by 5:

= 5/7

3 0

3 years ago

A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups

mash [69]

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

For this problem, we have the <u>standard deviation for the sample</u>, thus, the t-distribution is used.

The sample mean is of 15, thus $\overline{x} = 15$ .
The sample standard deviation is of 9, thus $s = 9$ .
The sample size is of 10, thus $n = 10$ .

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

$M = t\frac{s}{n}$

Then:

$M = 2.2622\frac{9}{\sqrt{10}} = 6$

The confidence interval is:

$\overline{x} \pm M$

Then

$\overline{x} - M = 15 - 6 = 9$

$\overline{x} + M = 15 + 6 = 21$

The confidence interval is (9, 21).

A similar problem is given at brainly.com/question/25157574

6 0

3 years ago

Use substitution to solve each system of equations.x-2yy=x-2​

Use substitution to solve each system of equations.x-2yy=x-2