Answer:
The most reasonable answer would likely be the first.
"When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent."
Step-by-step explanation:
Answer:
6x = 30
Step-by-step explanation:
6x
Let x = 5
6*5 = 30
6x = 30
Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!
Answer:
D -24/25
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
cos(x) = ⅘
sin²(x) = 1 - cos²(x) = 1 - (⅘)²
sin²(x) = 9/25
sin(x) = -⅗
(Because 4th quadrant)
sin(2x) = 2(-⅗)(⅘)
= -24/25
