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Maksim231197 [3]
3 years ago
8

Lines 1 and 2 are parallel. Find the measure of x.

Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0

Answer:

d

Step-by-step explanation:

180-63 is 117

a line is 180 all together so therefore if we subtract the 63, we get the answer we want

shepuryov [24]3 years ago
6 0

Answer:

D. 117 degrees

Step-by-step explanation:

These angles are alternate exterior angles. This means the equation will be x+63 =180. We want to isolate x so we have to subtract 63 from both sides. x=180-63. Simplify this to get x=117. Therefore, angle x is equal to 117 degrees. Therefore, the answer is d.

If this helps please mark as brainliest

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Answer:

\frac{-215}{30}

Step-by-step explanation:

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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
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The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

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8 0
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Answer:

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That means Tim is now 4+2 = 6, so will be 9 in 3 years.

_____

<em>Additional comment</em>

If you want to write equations, there are several ways you can do it. We often like to use variables to represent the current age. We can assign ...

  x = Tim's current age; y = Tom's current age.

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That's Tim's current age, so Tim will be 9 years old in 3 years.

3 0
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