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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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pshichka [43]
Y=2/3x+(-5)
hope this helps
3 0
2 years ago
Some farms use a hay elevator to move bales of hay to the second story of a barn loft. The bottom of the elevator is 9 meters fr
-Dominant- [34]

Answer: The height is 6.07 meters

Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;

Tan 34 = opposite/adjacent

Tan 34 = h/9

0.6745 = h/9

0.6745 x 9 = h

6.0705 = h

Therefore the approximate height of the barn to the ground is 6.07 meters

3 0
3 years ago
Read 2 more answers
HELP ME QUICK PLEASEE!!
Lena [83]

Answer:

  A) is a function

  B) f(x) is greater

  C) x = 12

Step-by-step explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

__

B) The table says y=6 for x=6.

  f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

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C) Substituting the given information, we have ...

  40 = 2x +16

  24 = 2x

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The value of x is 12 when f(x) is 40.

3 0
3 years ago
What is 5/8 + 3/4 divided by -2 /3 - 5/6​
pentagon [3]

\text{Hey there!}

\frac{5}{4}+\frac{3}{4}\div-\frac{2}{3}\ -\ \frac{5}{6}

\frac{5}{8} +\frac{3}{4}=\frac{11}{8}

\frac{-2}{3}-\frac{5}{6}=\frac{-3}{2}

\text{Problem becomes:}\frac{11}{8}\div\frac{-3}{2}

\frac{11}{8}\div\frac{-3}{2}=\frac{-11}{12}

\boxed{\boxed{\bf{Answer:\frac{-11}{12}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
4 years ago
What is 1/2 to the negative power of 2 using exponent rules
Otrada [13]
Negative exponents mean that the base is on the wrong side of the fraction line. For example, x^-2 is the same as 1/x^2. In this example, 1/2^-2 would be 2.

2/1^2 = 2
7 0
3 years ago
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