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:
3y +22
Step-by-step explanation:
y + 6 + 2(y + 8)
Distribute the 2
y+6+2y+16
Combine like terms
3y +22
width = area/length
w = 54/9 = 6.
The width of the rectangle is 6.
Answer:
x^2 +4x -4
Step-by-step explanation:
f(x) = 4x + 1 and g(x) = x^2 - 5
(f+ g)(x) = 4x + 1 + x^2 - 5
Combine like terms
= x^2 +4x -4
