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sveticcg [70]
3 years ago
9

PLEASE HELP! find the value of a in the parallelogram

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

a=19

Step-by-step explanation:

Since it is a parallelogram, adjacent angles are supplementary, or add to 180 degrees.

In this parallelogram, 5a+1 and 3a+27 are adjacent. Therefore, when added, they should equal 180.

5a+1+3a+27=180

Combine like terms

(5a+3a) + (1+27) = 180

8a +28 =180

Now, solve for a, by isolating it.

Subtract 28 from both sides

8a+28-28=180-28

8a=152

Divide both sides by 8

8a/8=152/8

a=19

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Answer:

Step-by-step explanation:

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6 0
2 years ago
A rectangle has an area of 143 square meters and a width of 6. 5 meters. What is the length, l, of this rectangle? l = 121 m l =
lapo4ka [179]
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8 0
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central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?
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Source:
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6 0
3 years ago
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3 years ago
the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.
cestrela7 [59]

Answer:

<em>The required points of the given line segment  are ( - 1, - 5 ).</em>

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( x_{1}, y_{1} ) and  ( x_{2}, y_{2}  )then the mid points M are-  

<em>M = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}  }{2}  )</em>

Here,

<em>Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -</em>

then by the midpoint formula M are-

<em>( 3, - 2 )  = ( \frac{ 7 + x}{2} , \frac{ - 9 + y}{2} )</em>

On comparing x coordinate and y coordinate -

We get,

<em>( \frac{ 7 + x}{2} = 3  , \frac{ - 9 + y}{2}  = - 2)</em>

<em>( 7 + x = 6, - 9 + y = - 4 )</em>

<em>( x = 6 - 7, y = - 4 + 9 )</em>

<em>( x = - 1, y = -5 )</em>

<em>Hence the required points  A are ( - 1, - 5 ).</em>

<em>We can also verify by putting these points into Midpoint formula.</em>

<em />

8 0
3 years ago
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