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swat32
3 years ago
7

What is an angle that is supplementary to IAJ?

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0
An angle that is supplementary to IAJ would be IAH
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Find an
Vitek1552 [10]

Answer:

y=-2x-4

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

\displaystyle x_m=\frac{-3+5}{2}=1

\displaystyle y_m=\frac{-8-4}{2}=-6

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}

\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

y-y_o=m(x-x_o)

y-(-6)=-2(x-1)

Operating

y+6=-2(x-1)

y+6=-2x+2

Rearranging

\boxed{y=-2x-4}

8 0
4 years ago
Need help solving this
Alchen [17]

Answer:

4. 12 in.

5. 3 in.

6. 3in per hour

7. slope would=3

Step-by-step explanation:

8 0
3 years ago
Please help ! Geometry
Maslowich

The measurement of angle b is 128°

7 0
3 years ago
What is the tenth number in this sequence?4,10,16,22,_​
shutvik [7]

Answer:

28

Step-by-step explanation:

4+6=10,10+6=16,16+6=22,22+6=28

5 0
3 years ago
If the sum of two angles is 180°,then each is the___of the other​
GREYUIT [131]

Step-by-step explanation:

"If the sum of 2 angles is 180°, then each is the supplementary angle of the other".

4 0
3 years ago
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