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2 years ago

Find the value of x that makes line m parallel to line n.

Mathematics

1 answer:

evablogger [386]2 years ago

4 0

Answer: x = 20

Step-by-step explanation:

If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

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The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to

VashaNatasha [74]

Answer:

55-15= 40

55,000-10,000=45,000

45000/55=819

i think it is 819?

Step-by-step explanation:

3 0

3 years ago

Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.

pashok25 [27]

When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.

Answer: assume a≥7

7 0

3 years ago

Ahhhh help everyone help me solve this ....

vovangra [49]

Answer:

$y = \frac{18 {w}^{2} {x}^{2} {z}^{2} }{25}$

Step-by-step explanation:

$\frac{3wx}{ \sqrt{2y} } = \frac{5}{2z} \\ \\ \sqrt{2y} \times 5 = 3wx \times 2z \\ \\ \sqrt{2y} \times 5 = 6wxz \\ \\ \sqrt{2y} = \frac{6wxz}{5} \\ \\ {( \sqrt{2y} })^{2} = {( \frac{6wxz}{5} })^{2} \\ \\ 2y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{25} \\ \\ \\ y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{25} \div 2 \\ \\ \\ y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{25} \times \frac{1}{2} \\ \\ \\ y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{50} \\ \\ \\ y = \frac{18 {w}^{2} {x}^{2} {z}^{2} }{25}$

I hope I helped you^_^

4 0

3 years ago

The difference between the acute angles of a right angled triangle is 72degree find them .

MaRussiya [10]

The 2 angles add up to 90 degrees so

x + y = 90, also:-

x - y = 72 (given)

adding the 2 equations:-

2x = 162

x = 81

and therefore

y + 81 = 90

y = 9

Answer the 2 angles are 81 and 9 degrees

5 0

3 years ago

Please help me with homework

Ksivusya [100]

Answer:

1.) 5/4

2.) -4/5

3.) 1/4

4.) -1

5.) 1

Step-by-step explanation:

Brainliest Please

7 0

3 years ago

Find the value of x that makes line m parallel to line n.​

Find the value of x that makes line m parallel to line n.