Answer:
Explanation:
opposite angles in a quadrilateral sum up to 180°
total interior angles in a quadrilateral is 360°
solve for x:
x - 2 + x + 2 = 180°
2x = 180°
x = 90°
solve for each angle:
1st
x + 2
90° + 2 = 92°
2nd
x - 2
90° - 2 = 88°
3rd
x - 10
90° - 10° = 80°
4th
360° - 80° - 88° - 92° = 100°
Answer: x=80
Step-by-step explanation:
x/8=10
x=8*10
x=80
Answer:
r represents the rate the electric company charges per kilowatt-hour.
Step-by-step explanation:
r represents the rate the electric company charges per kilowatt-hour.
Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).
- Total charge consists of "administrative charge" + "charge per kilowatt hours*hours used
- The equation is given as 63.24 = 3.5 + 800r
<u>Matching the "word equation" with "mathematical equation", we see that 800 is the hours used and r is the charge per kilowatt hour.</u>
Answer:
a) 150°
b) 30°
Step-by-step explanation:
It is easier to work the exterior angle first.
<h3>b)</h3>
The sum of exterior angles is 360°. The exterior angle at any vertex of a regular dodecagon will be 1/12 that:
360°/12 = 30° . . . the measure of one exterior angle
__
<h3>a)</h3>
The measure of an interior angle will be the supplement of the adjacent exterior angle.
180° -30° = 150° . . . the measure of one interior angle
