Answer:
84°
Step-by-step explanation:
Solve for n. Note that the angle measurements of a circle will equal 360°. Set all the angles = 360°.
7n + 12 + 13n - 16 + 6n = 360
Combine like terms:
(7n + 13n + 6n) + (12 - 16) = 360
26n - 4 = 360
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. First, add 4 to both sides:
26n -4 (+4) = 360 (+4)
26n = 360 + 4
26n = 364
Next, divide 26 from both sides:
(26n)/26 = (364)/26
n = 364/26
n = 14
Next, plug in 14 for n in the angle measurement, 6n:
6n = 6(14) = 84°
Note that these are central angles, which means that the arc's will be the same measurement as the angle's measurement.
arcBC = 84°
84° is your answer.
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Answer:
<em>D. Obtuse</em>
Step-by-step explanation:
Answer:
x≥ -4
Step-by-step explanation:
9 + 9(x + 7)≥ 36
Subtract 9 from each side
9 -9+ 9(x + 7) ≥ 36-9
9(x + 7) ≥ 27
Divide each side by 9
9/9(x + 7) ≥ 27/9
x+7≥ 3
Subtract 7 from each side
x+7-7 ≥ 3-7
x≥ -4
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
Answer:
13.4±2.132(1.02/5)
Step-by-step explanation:
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