Similar figures are two or more given figures that have some <em>common</em> <u>properties</u>. The <u>answers</u> to the questions are;
14. m<WYZ = 
15. m<ACB = 
Two or more figures are said to be <u>similar</u> if they have some common <em>properties</em>. Note that <u>similar</u> figures may not be <u>congruent</u>.
Thus, the solutions to the questions can be determined as follows:
14. Comparing WYZ and VXYZ, we can deduce that:
<WYZ + <YVX =
(sum of angles on a straight line))
So that;
(16x - 3) + (3x - 7) = 
19x - 10 = 
19x = 
x = 
= 
Then,
m<WYZ = (16x - 3) = (16(10) -3)
= 
The measure of angle WYZ is
.
15. (11x - 2) = (6x + 13) (<em>similarity</em> property)
11x - 6x = 13 + 2
5x = 15
x = 3
So that;
m<ABC = (6x + 13) = (6(3) + 13)
= 
m<ABC = 
But,
m<BAC + m<ABC + m<ACB =
(sum of angles in a triangle)
+
+ m<ACB = 
m<ACB =
- 93
= 
m<ACB = 
The measure of angle ACB is
.
Visit: brainly.com/question/18558845
Answer:
10 hours to drive 500 miles
6 hours to drive 300 miles
Step-by-step explanation:
Hi, to answer this we have to calculate the speed rate first:
Speed = distance /time
Speed = 200 miles / 4 hours = 50 miles per hour
So, to find the time for each number of miles:
Time = distance /speed
For 500 miles:
t = 500/50 = 10 hours
For 300 miles
t = 300/50 =6 hours
So, in conclusion:
It will take 10 hours to him drive 500 miles
It will take 6 hours to him drive 300 miles
In San Francisco it would be 3 am
The distance traveled by Mr.Nersin = 4 miles
The time for which Mr.Nersin rode first = 1/2 hour
The time for which Mr.Nersin rode after a short rest = 1/10 hour
Then
The total time for which Mr.Nersin rode = (1/2) + (1/10) hour
= (5 + 1)/10 hour
= 6/10 hour
= 3/5 hour
So
Average speed of Mr. Nersin = Distance traveled / Time taken
= 4/(3/5) miles/hour
= (4 * 5)/3 miles/hour
= 20/3 miles/hour
= 6 2/3 miles/hour
= 6.67 miles per hour
So the average speed at which Mr.Nersin traveled is 6 2/3 or 6.67 miles per hour.
32 as well according to some rule in geometry