Answer:
13b-12a+5 (so the last one)
Step-by-step explanation:
b-6a+12b-6a+5
13b-12a+5
Answer:
It will take 12 years for the trees to be at the same height.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The probability that Boris is assigned a moderate-difficulty question would be the ratio of number of moderately difficult questions to the number of total questions available.
The quiz consists of 2 high difficulty, 7 moderate difficulty, and 6 low difficulty questions. That is 2 + 7 + 6 = 15 questions in total.
and
the number of moderately difficult questions is 7
Hence the probability would be 7/15
the square root of 25 is 5
5x5=25
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.
