All categories

3 years ago

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

You might be interested in

if the slopes of the lines in the system are equal and their y-intercepts are also equal, then the system is blank and blank

Tems11 [23]

Answer:

Step-by-step explanation:

same slope and same y-intercept = dependent system and represent the same line.

I'm not sure if those are words they want you use, as you didn't provide the answer choices.

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]

L = 22 because area equals length times width. So if you divide the area (143) by the width (6.5) you get 22

8 0

2 years ago

Read 2 more answers

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?

Cloud [144]

Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
radius^2 = 16.2 * PI / [(1 / 5) * PI]
radius^2 = 16.2 / .2
radius^2 = 81
radius = 9

Source:
http://www.1728.org/radians.htm

6 0

3 years ago

A direct function of Gene is?

uranmaximum [27]

It is called proteins

5 0

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:

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

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-