Answer:
<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>
Step-by-step explanation:
Let's review the information given to us to answer the question correctly:
Total distance of the trip = 750 miles
Time of the trip = 12 hours
Speed of Kathy = 65 mph
Speed of Brian = 55 mph
2. For what length of the time did Kathy and Brian drive?
Let's solve the problem, this way:
x = Time in hours Kathy drove
12 - x = Time in hours Brian drove
Now, let's write our equation to solve for x:
65x + 55 (12 - x) = 750
65x + 660 - 55x = 750
10x = 750 - 660
10x = 90
x = 90/10
x = 9 ⇒ 12 - x = 3
<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>
Answer:
3x m²
Step-by-step explanation:
Area is length × breadth
So
A= 3 × x
A= 3x m²
Answer:
BC = 16 units
Step-by-step explanation:
Since DE is the midsegment of the triangle, based on the midsegment theorem, thus:
DE = ½(BC)
DE = 8 units
Plug in the value
8 = ½(BC)
Multiply both sides by 2
2*8 = BC
BC = 16 units
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
