Figure ABCD is a parallelogram. What are the measures of angles B and D?
A
B
O ZB = 55°; ZD = 55°
(2n + 15)
O ZB = 55°, ZD = 125°
O ZB = 97°, 2D = 97°
O ZB = 83° 2D = 97°
(3n - 5)

<B=55°, <D=55°

Step-by-step explanation:

in a parallelogram, opposite angles are congruent. so:

3n-5=2n+15

n-5=15

n=20

now that we know n is 20, we can substitute that into either <B or <D to figure out what their measures are (since they are congruent, they'll both have the same angle measure)

m<D=3n-5

m<D=3(20)-5

m<D=60-5

m<D=55

therefore, both <B and <D equal 55°.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42