A bisector is the line that divides an angle (which in this case is $\angle CAD$ ) exactly in half. Therefore, $\angle CAB = \angle BAD$ and as such we can solve for $x$ :

$\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ$

and we are done.

4 0

2 years ago

A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route

Darya [45]

The cat will take 0.8 seconds to catch up with the mouse

Step-by-step explanation:

Given:

The distance between the cat and the mouse = 4 feet

cat's speed = 17 feet per second.

mouse's speed = 12 feet per second

To Find:

how long will it take the cat to catch up with the mouse = ?

Solution:

We know that

distance = speed x time

Rewriting the equation for time we get

time = $\frac{distance }{speed}$

now we know that distance is 4 feet

and the speed is 17 -12 = 5 feet per second

Thus the time is

= $\frac{4}{5}$

= 0.8 seconds

4 0

3 years ago

The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of

Snezhnost [94]

20 minutes = 1/3 of an hour

1/3 = 0.333

1/3 x 45mph = 15, so she drove 15 miles at 45mph

18-15 = 3

3 miles/ 20 mph = 0.15 hours

0.333+0.15 = 0.483 hours total

0.483 x 60 = 28.98 so approximately 29 minutes total driving time

7:15 + 29 minutes is 7:44 am she arrived at work

8 0

3 years ago