All categories

3 years ago

Given: ABCD is a trapezoid with AB || DC. If m∠A = 125 and m∠B = 99, find m∠C/

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

The measure of angle C is $81\°$

Step-by-step explanation:

we know that

If AB || DC

then

$m$ -----> supplementary angles by consecutive interior angles

and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

$m$

step 1

Find the measure of angle D

$m$

substitute the measure of angle A

$125\°+m$

$m$

step 2

Find the measure of angle C

$m$

substitute the values

$125\°+99\°+m$

$m$

You might be interested in

at the northgate fabric store, there are 5 scrap pieces of cloth. their lengths are 1/2 yrd, 3/10 tard, 5/6 yard, 1/3 yard, and

9966 [12]

Answer: 71/30 or 2 and 11/30 yards

Work:
You need to add each fraction together in order to find the total amount of fabric. You should do this by finding common denominators (the number on the bottom of the fraction) and then combining fractions.
Since the order of adding doesn't matter, you should combine the fractions that are the easiest first. Start with adding 1/2 and 1/3. The common denominator is 6, since that is the LCM of 2 and 3. The fractions then become 3/6 and 2/6 which combine into 5/6. It is then easy to add the other 5/6 of a yard from the question to the 5/6 you have just found into 10/6.
Then come over to the 3/10 and 2/5 yard pieces which can be easily added together using 10 as the common denominator. These two fractions added together become 7/10.
The final step is to add the 7/10 plus the 10/6. The common denominator is 30, as it is the LCM of 10 and 6. The new fractions become 21/30 plus 50/30 which equals 71/30.

5 0

2 years ago

Here are all of my points but 3 take them my mom is taking me out of K12 and I really enjoyed it, she is taking me out because I

svp [43]

Answer:

Bye

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the distance from point D to point C

In-s [12.5K]

Answer:

-4to 2

Step-by-step explanation:

it lies in the x axis

4 0

3 years ago

The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b

maw [93]

Answer:

80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

2(x +y) = 36 . . . . the perimeter is 36 m
(x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area

The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

xy +y +2x + 2 -xy = 30

2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

x +y = 18

and subtracting this from the above equation gives ...

(2x +y) -(x +y) = 28 -18

x = 10

Then

y = 18 -10 = 8

The area of the original rectangle is xy = 10·8 = 80 m^2.

4 0

3 years ago

PLEASE SOLVE WILL GIVE BRAINLIEST IF RIGHT

wlad13 [49]

Answer: It would be (3)1

Step-by-step explanation:

3 0

2 years ago