Changle. Show all work. Round each length to the nearest tenth and each angle to the
nearest degree.
17.
AC =
mZA =
mZC =

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

substitute the given values

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

----> by TOA (opposite side divided by the adjacent side)

substitute the values

using a calculator

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

----> by complementary angles

substitute the given value

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.