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.
Answer:
18
Step-by-step explanation:
multyply both like 10 x 6 then 11 x 7 after that subtrac the numbers that you múltiple and you will get the answer
<h3>The answer is:</h3><h2>8</h2><h2 />
We know that the opposite of 8 is -8. So the opposite of -8 is 8.
You can look a number line if you are still confused!
Answer:
38,325 dinners.
Step-by-step explanation:
We have been given that last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of dinners to be served next year.
The estimated number of dinners next year would be 36,500 plus 5% of 36,500.
Therefore, 38,325 dinners will be served next year.