Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F = 
m∠D = 
°.
Now, let m∠A = m∠B = 
So, m∠C = m∠A + 30° = 
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D = 
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
Answer:
Step-by-step explanation:
Moving back will be indicated by a negative value, forward will be positive.
- 5 + (-3) + 3 is the correct option.
Easy! Just multiply 7 1/3 by 8 which leaves you with 58 2/3. Now, that 1/4 is 1/4 of an hour. If you can fill 7 1/3 boxes in 1 hour, how many can you fill in 1/4? 7 1/3 divided by 1/4 is 29 1/3. Add them together. 81 boxes.
9514 1404 393
Answer:
A side of the triangle is bisected
Step-by-step explanation:
The median of a triangle connects a vertex to the midpoint of the opposite side. That is, it bisects the side it meets:
A side of the triangle is bisected
_____
<em>Comment on other choices</em>
A median will be an angle bisector only if the triangle is isosceles. Likewise, it will only be perpendicular to the side if the triangle is isosceles.
There are several points called "center" of a triangle, including the centroid (on the median), the incenter, the circumcenter, and the orthocenter.
