Answer:
7740° / 45
Step-by-step explanation:
The sum of the interior angles is given by this formula: (n - 2) * 180°. So a regular 45-gon would have interior angles that add up to: (45 - 2) * 180°. = 43 * 180°. = 7740°. Now divide that by the 45 angles to find the measure of one interior angle
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Answer:
x = 121°
Step-by-step explanation:
The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.
Answer:
12, 8, and 4
Step-by-step explanation:
a + d + a + a - d = 24
3a = 24 ⇒ [ a = 8 ]
and (a + d)² + a² + (a - d)² = 224
3a² + 2d² = 224
2d² = 224 - 192 = 32
d² = 16
[ d = ±4 ]
∴ The first three terms to A.P are
a + d = 8 + 4 = 12
a - = 8
a - d = 8 - 4 = 4
∴ Three terms are 12 , 8, and 4
Answer:
1. b.
2. a.
3. b.
4. d.
5. a.
6. b.
7. c.
8. b.
9. b.
10. c.
11. a.
12. b.
13. a.
14. c.
Step-by-step explanation:
7 + 3 = 10
+ 679 - 2056 = -1377
- 398 + 1 = -397
-23 - 237 = 260
2 - 6 = -4
-2 × 3 × -4 = 24
absolute value of -36 = 36
6 + 4 = 10
- 5928 - 965 = -6893
215 × 212 + 212 × 314 = 112148
(15 + 5) ÷ (15 + 5) = 20 ÷ 20 = 1
-457 + 1 = -456
- 218 -1 = -219
Answer:
6
+ 6m -9
=> (6
- 9
) + 6m
=> -3
+ 6m
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