Sum = ADDITION SO ... 11 + 12 = 23.
D. The measure of TRU is 72
The correct graph would be graph A.
Since the line hits the y-axis at -1. And it goes down 2 and to the left 3 for each point.
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
The airplane has descended (25,000 - 19,000) = 6,000 feet
while flying (150 - 90) = 60 miles.
If the descent is modeled by a linear function, then the slope
of the function is
(-6000 ft) / (60 miles) = - 100 ft/mile .
Since it still has 19,000 ft left to descend, at the rate of 100 ft/mi,
it still needs to fly
(19,000 ft) / (100 ft/mile) = 190 miles
to reach the ground.
It's located 90 miles west of the runway now. So if it continues
on the same slope, it'll be 100 miles past the runway (east of it)
when it touches down.
I sure hope there's another airport there.