Two angles are complementary when they add up to 90 degrees<span>
</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9° ← smaller angle
larger angle = 9x = 9 * 9 = 81°
<span>(18<span>t<span><span>^2</span><span> </span></span></span>+ 9<span>t^<span><span>2</span><span></span></span></span>) + (−7t −3t) + 20
</span><span><span>27<span>t<span><span>^2</span><span> </span></span></span>− 10t + 20</span><span>
</span></span><span>
</span>
Simply it as follows:
1 + 39 = 40
2 + 38 = 40 etc
18 + 22 = 40
19 + 21 = 40
There are 19 of these plus 40 itself . . .therefore 20 of them
20 x 40 = 800
And finally the last number not used, 20
Therefore 800 + 20 = 820
Answer:
Step-by-step explanation:
<u>The missing reasons are:</u>
- 1. k. Given
- 2. j. Definition of parallelogram
- 3. d. Definition of linear pair
- 4. b. Linear pair postulate
- 5. e/m. Definition of supplementary
- 6. g. Same side interior angles theorem
- 7. e/m. Definition of supplementary
- 8. a/c. Substitution property of congruence
- 9. i. Subtraction property of congruence
- 10. f. Alternate interior angles theorem
- 11. l. Alternate exterior angles theorem
- 12. h. Angle congruence postulate
