Angle abc is formed by segments ab and bc on the coordinate grid below: a coordinate plane is shown. angle abc has vertices at 3 comma 4 and 5 comma 3 and 3 comma 2 and measures 53.13 degrees. angle abc is rotated 90 degrees counterclockwise about the origin to form angle a′b′c′. which statement shows the measure of angle a′b′c′? m∠a′b′c′ = 90 degrees m∠a′b′c′ = 180 degrees m∠a′b′c′ = m∠abc m∠a′b′c′ = 2 × m∠abc

m∠ABC = m∠A'B'C'

Step-by-step explanation:

We are given a ΔABC with the co-ordinates ( 3,4 ), ( 5,3 ) and ( 3,2 ) along with ∠ABC = 53.13°

Now, it is given that ΔABC is rotated counter-clockwise by 90° to make the  ΔA'B'C'.

So, we get a new triangle having co-ordinates ( -4,3 ), ( -3,5 ) and ( -2,3 ).

Since, rotation is a transformation that does not change the side length or the angle measure i.e. it preserves the congruence.

So, we get that ∠A'B'C' = 53.13°

Hence, ∠ABC = ∠A'B'C' = 53.13° i.e. m∠ABC = m∠A'B'C'

answer: the common difference is -0.10

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.