Answer:
The transversals cutting through the parallel lines create angles that are congruent to one another. Angles 1`and 5 are alternate interior and are congruent. Angles 2 and 6 are alternate interior and are congruent. And of course if 2 of 3 angles in 2 triangles are congruent, then the 3rd angles have to be congruent as well. HOWEVER, we can see that the sides are NOT congruent, and we need at least one side to prove congruency. Since we have 3 congruent angles, we can only say they are similar.
Step-by-step explanation:
You turn an improper fraction to a decimal by dividing the numerator (number on top) by the denominator (number under).
Answer:
A
Step-by-step explanation:
At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.
Now fill in x=-2 in both remaining answers and see what happens.
For A: y = -2(-2 - 1)² + 3 = -15
For B: y = (-2 - 1)² + 3 = 12
That eliminates B and leaves A.
Answer: <u>16.</u> 21ft
<u>17.</u> 116.67mi or ≈117mi
<u>18.</u> 1,377,795in or 3,499.993m or ≈3500m
How we would calculate each of these: For number 16, you would set up a proportion of 1/3=7/x and then simplify this to 1x=21 which results in you dividing 1 from both sides of the equation and getting 21 as x, or the amount of feet. For number 17, you would do the same thing except with the different numbers. You set up another proportion. 3/50=7/x and then simplify to 3x=350. Divide the 3 on both sides and you get x=116.67mi to which you can round to 117mi if you like. For number 18, you must convert the 3.5 kilometers to inches and get 1,377,795in and then you can convert those inches into meters which would be 3,499.993m or you can round it to around 3500m.
Answer:
A?
Step-by-step explanation:
