The measure of angle C is 89 degrees.
<u>Step-by-step explanation:</u>
The given polygon ABCD is a quadrilateral.
<u>The property of a quadrilateral :</u>
The sum of the consecutive angles add to 180°.
In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.
Given that,
- The measure of angle B = 2x+3
- The measure of angle C = 2x+1
<u>To find the value of x :</u>
m∠B + m∠C = 180
(2x+3) + (2x+1) = 180
4x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44
<u>To find m∠C :</u>
m∠C = 2x + 1
⇒ 2(44)+1
⇒ 88+1
⇒ 89°
The measure of angle C is 89 degrees.
150 each because he will have $6 left
Answer:
x=-2 y=0
Step-by-step explanation:
put the second equation in to the first one
-2x+x+2=4
-x=2
x=-2
y=-2+2=0
x=-2 y=0
Answer:
5 11/12
Step-by-step explanation:
First convert the mixed number into an improper fraction: 31/6
Find a common denominator:
18/24 and 124/24
124/24+ 18/24 is 142/24 and that is the same as 5 11/12
Hopefully this helps and you can have a lovely day!
Answer:
16m + 2n + 4
Step-by-step explanation:
( −2n −2) + (6 + 8m) + (8m + 4n)
−2n + −2 + 6 + 8m + 8m + 4n
(8m + 8m) + ( −2n + 4n) + (−2 + 6)
16m + 2n + 4