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3 years ago

Angle a measures 50 degrees. if angle a is rotated 45 degrees, what is the measure of angle a'?

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Answer

The answer is 50 degrees because the measurement does not change even though it moves 1000 times.

Step-by-step explanation:

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14. What is 12/3 as an improper fraction?

timama [110]

12/3 is already an improper fraction.

But, 12/3 is simplified into 4.

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3 years ago

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

7 0

2 years ago

-0.6 into a fraction

Akimi4 [234]

The fraction would be - 3/5

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2 years ago

I need help I don’t know how to do complementary and supplementary angles

madreJ [45]

Answer: supplementary angles add up to 180 degrees, and complimetary angles add up to 90 degrees

Step-by-step explanation: It depends on what u want

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2 years ago

Write 0.624 as a percent and as a simplified fraction.

Doss [256]

Okay to find the percent version of 0.624 you multiply by 100. 0.624×100=62.4%. Now as a fraction the last number behind the decimal is in the thousandths place so put 624 over 1000. 624/1000 simplified it would be 78/125

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2 years ago