ANSWER
or
We have
Since we cannot factor easily, we complete the square.
Adding 2 to both sides give,
Dividing through by 3 gives
Adding
to both sides gives
The expression on the Left Hand side is a perfect square.
Splitting the plus or minus sign gives
or
the answer is 90
Step-by-step explanation:
I used a calculator so-
Slope = -5/4
y intercept = 1
The slope is always attached to x. The intercept is the number attached on the end.
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.
