Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures and are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:
Then
17. Two parallel lines are cut by transversal. Angles with measures and are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:
Then
18. Two parallel lines are cut by transversal. Angles with measures and are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:
Then
19. The diagram shows two complementary angles with measures and . The measures of complementary angles add up to then
Hence,
Check:
20. Angles and are vertical angles. By vertical angles theorem, vertical angles are congruent, so
Hence,
21. and are supplementary. The measures of supplementary angles add up to so
Therefore,
Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
Answer: A 15/100
Step-by-step explanation:
1. Convert 17/20 into percents
2. You get 85% Which is how much of her homework she has completed
3. To find what she has left subtract 85 from 100
4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 Linear pair
∠4 + ∠5 +∠ 3 = 180 form straight line
∠1 + ∠2 = ∠4 + ∠5 + ∠3 from statement 1 and 2
∠3 +∠2 = ∠4 + ∠5 + ∠3 ∠1 and ∠3 are vertically opposite angles.
∠2 = ∠4 + ∠5 Proved
Answer: you just flip it. It would be the opposite.
Step-by-step explanation:
When you flip it, what’s the difference? It’s still the same.