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Alik [6]
3 years ago
10

ILL BRAINLIEST YOU IF YOU GET IT RIGHT explanation please

Mathematics
2 answers:
Over [174]3 years ago
4 0
The answer is D.


The angles shown are opposite interior angles meaning they are congruent. if you plug in 20 for x, they add up to be the same number, unlike the other options. so the answer is D
Rashid [163]3 years ago
3 0

Answer:

\boxed {\boxed {\sf D. \ x=20}}

Step-by-step explanation:

If line <em>m</em> and line <em>r</em> are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.

So, if the angles are congruent, we can set them equal to each other.

  • 3x-35
  • 7x-115

7x-115=3x-35  

Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.

115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.

7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80

3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.

7x-3x=3x-3x+80 \\4x=80

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4=80/4\\x=20

If the lines are parallel, then <u>x=20</u> so the angles are congruent.

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What set of values could be the side lengths of 30-60-90 triangles
Free_Kalibri [48]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
What is the slope of the line parallel to 7x + 4y = -16?
GarryVolchara [31]

Answer:

The slope of the line that is parallel to the given line is \frac{-7}{4}

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = \frac{-a}{b}

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = \frac{-a}{b}

∴ The slope of the line = \frac{-7}{4}

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is \frac{-7}{4}

8 0
3 years ago
Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?
vesna_86 [32]

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

4 0
3 years ago
THE PIC IS DOWN BELOW
Alex

Answer:

The slop of the line is 15.

Step-by-step explanation:

(6-3)/(0.4-0.2)=15

3 0
3 years ago
One number is 2 more than another number. The product of the numbers is 440. Find the numbers.​
Bumek [7]

Answer: 20 and 22

The product of 20 and 22 is 440 and 22 is 2 more than 20.

4 0
2 years ago
Read 2 more answers
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