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:
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9
8^(x-3) = 2^(3x-9)
Step-by-step explanation:
2⁴ × 8^(x - 3)
2⁴ × (2³)^(x-3)
2⁴ × 2^(3x - 9)
Since the bases are same now, powers can be added
2^(4 + 3x - 9)
2^(3x - 5)
56x² - 49x + 14 = 7(8x² - 7x +2)
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The greatest common factor of 56, 49, and 14 is 7.
0.888=8/9; therefore the contstant of proportionality or k is (8/9,1)
The answer is B because if 0 is < y than 8 would be equal to x
