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.
Cos( 6 x ) = 1/2
6 x = 60° ⇒ x 1 = 10°
6 x = 300° ⇒ x 2 = 50°
6 x = 420° ⇒ x 3 = 70°
6 x = 660° ⇒ x 4 = 110°
x 5 = 130°, x 6 = 170°, x 7 = 190° , x 8 = 230°, x 9 = 250°,
x 10 = 290°, x 11 = 310°, x 12 = 350°
Answer: there are 12 solutions on the interval ( 0 , 2π ).
Answer:
Alex is right so the problem is solved
Answer:
2x+8y=6
Step 1: Add -8y to both sides.
2x+8y+−8y=6+−8y
2x=−8y+6
Step 2: Divide both sides by 2
= 
x=−4y+3
_________________________________________________________
−5x−20y−15
There are no like terms.
Answer:
=−5x−20y−15
Answer: 34
Step-by-step explanation: