Answer:
y = 50
Step-by-step explanation:
All triangle angles add up to 180 degrees.
To set this equation up, you need to add everything given in the triangle and set it equal to 180:
y + y + 80 = 180
<em><u>Add like terms:</u></em>
2y + 80 = 180
<u><em>Subtract 80 from both sides:</em></u>
2y + 80 = 180
- 80 - 80
___________
2y = 100
<u><em>Divide both sides by 2:</em></u>
y = 50
<u><em>If you're unsure, you can plug in the 50 for y:</em></u>
y + y + 80 = 180
50 + 50 + 80 = 180
100 + 80 = 180
180 = 180
50
Step-by-step explanation:
Since AE is the bisector of angle BAC,so angle BAE and Angle CAE is equal. Here Angle CAE and Angle EAC is same.
therefore,
m(Angle BAE)=m(Angle EAC)

or, 2x=40
or, x=20
Hence,
m(Angle EAC)=

=

Answer:
The ratio of their surface areas is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
In this problem the scale factor is equal to the ratio 
and
Remember that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
therefore
In this problem the ratio of their surface areas is 
Answer:
The parent function is 
That Parabola's equation is 
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for <em>all </em>equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.