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.
Hello:
an equation for the line is : y =mx +b (m: is a slope )
parallel to the liney=2x+2 ( same slope m =2)
the equation is : y =2x+b
through the point (-1,3) : 3 =2(-1)+b....... b=5
the equation is : y = 2x +5
No, the Triangle Inequality Theorem states that two sides of a triangle always add up to more than the third side. however, 2.1+4 < 7.9. this means that a triangle can't be made
