9514 1404 393
Answer:
10. A) 120°
11. D) 40°
12. D) 54°
13. A) 101°
Step-by-step explanation:
The applicable rules of angles and arcs are ...
- the whole is the sum of the parts
- arcs of a circle total 360°
- an inscribed angle intercepts an arc of twice its measure
__
10) Angles C and L intercept the same arc (DE) so will have the same measure.
15x = 16x -4
4 = x . . . . . . . . add 4-15x
arc DE = 2(15x) = 30(4) = 120 . . . degrees
__
11) Arc VW is twice the measure of angle X, so ...
9x +8 = 2(5x)
8 = x . . . . . . . . . subtract 9x
∠VXW = 5x = 5(8) = 40 . . . degrees
__
12) Arc EFG is twice the measure of angle W, so ...
70° +FG = 2(88°)
FG = 106° . . . . . . . . . subtract 70°
Arc FGW is twice the measure of angle E, so ...
106° +GW = 2(80°)
GW = 54° . . . . . . . . . . subtract 106°
__
13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.
RS +ST +TR = 360°
119° +2(70°) +TR = 360°
TR = 101° . . . . . . . . subtract 259°
Answer:
23
Step-by-step explanation:
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.</span>
Step-by-step explanation:
To identify how long each desk is, divide 27 feet by the 12 desks. (Given values)

Each desk is 2.25 ft long.
<u>Check:</u>
<u />
Correct.