Which reason justifies Statement 3?
2 answers:
Answer:
(C) Alternate interior angles are congruent.
Step-by-step explanation:
Given: Lines A and B are parallel lines and C and D are transversals.
To prove:
Proof:
Statement Reason
1. Lines A and B are parallel lines; Given
C and D are transversals
2.∠Y≅∠4 Alternate interior angles
3.∠Z≅∠6 Alternate interior angles
4.∠X+∠4+∠6=180° Straight line property
5. ∠X+∠Y+∠Z=180° Substitution property
Hence proved.
Therefore, option C is correct.
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Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
Multiply both sides by 100.
Divide both sides by 50.
The amount invested at 7% is .
The amount invested at 8% is
The amount invested at 9% is
Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.