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.
Answer:
p = (7r+16) / (4-q)
Step-by-step explanation:
4p - 7r = pq + 16
Add 7r to both sides.
4p = pq + 16 + 7r
Subtract pq from both sides.
4p - pq = 7r + 16
Factor out p from the left side.
p(4 - q) = 7r + 16
Divide both sides by (4 - q).
p = (7r + 16)/(4 - q)
The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.
Knowing that all triangles angles add up to 180*:
24* + x + ? = 180*
Knowing the straight line is 180*:
180* - 122* = 58*
The equation then is:
24* + x + 58* = 180*
Then solve for X:
(82* + x) - 82* = (180*) - 82*
<u>x = 98* or C</u>
Answer:
520 - 303.93 - (10.99 * 4) - 25.25 - 73.43x ≥ 0
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1) Parentheses
520 - 303.93 - 43.96 - 25.25 - 73.43x ≥ 0
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2) Combine like terms
146.86 - 73.43x ≥ 0
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3) Get the variable term alone
-73.43x ≥ -146.86
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4) Divide to solve
x ≤ 2
** dividing by a negative number, the inequality sign flips **
ANSWER :
x ≤ 2
