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Morgarella [4.7K]
3 years ago
10

How do you solve this step by step?

Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

Answer:

-2/9

Step-by-step explanation:

first you are going to distrubute 2/5, so 2/5 times x is 2/5x and 2/5 times -2 is -4/5

next you set up the problem with those two answers which gives you:

2/5x - 4/5 = 4x

then multiply both sides of the equation by 5: 2x-4=20x

next move the constant to the right side and chnage the sign: 2x=20x+4

then combine like terms: -18x=4

after that divide both sides of the equation by -18: -2/9

so x= -2/9

igor_vitrenko [27]3 years ago
5 0

Answer:

x = -2/9

Step-by-step explanation:

2/5 (x - 2) = 4x

2/5x - 4/5 = 4x

2/5x - 4x = 4/5

2/5x - 20/5x = 4/5

- 18/5x = 4/5

- x = 4/5 / 18/5

- x = 4/5 * 5/18

- x = 4/18

x = - 4/18

x = - 2/9

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4 0
3 years ago
Given a∥b , and c is not parallel to a or b, which statements must be true?
Vlad1618 [11]

Answer:

1. We have been given that a∥b , and c is neither parallel to a nor b.

Let us see which of our given options are correct.

A. m∠7 can not be equal to m∠11  as line c is not parallel to line a.

B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.

C. By alternate interior angles m∠4=m∠5  as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.  

D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.

Therefore, Option C and D are correct choices.

2. We have been given that  AB∥CD and m∠4=85°. We are asked to find measure of ∠5.

Since we know that same side interior angles are supplementary. In our figure we can see that  ∠4 and ∠5 are same side interior angles.

Therefore, measure of ∠5 will be 95 degrees.  

Step-by-step explanation:

1. is m∠4=m∠5 by the alternate interior angle theorem.

2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.

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3 years ago
A rectangular parcel of land is 90 ft wide. the length of a diagonal between opposite corners is 30 ft more than the length of t
snow_lady [41]

solution:

One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30

According to Pythagoras,

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Use FOIL to expand the binomial:

x² + 60x + 900 = x² + 8100

60x = 7200

X = 7200/60

X = 120


4 0
3 years ago
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