Answer:
See explanation below.
Step-by-step explanation:
Note that in △RST and △UVW
- m∠T=180°-m∠R-m∠S;
- m∠W=180°-m∠U-m∠V.
Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.
In ΔRST and ΔUVW:
- ∠S≅∠V (given);
- ∠T≅∠W (proved);
- ST≅VW (given).
ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
By ASA theorem ΔRST≅ΔUVW.
Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:

So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:

Thus, the y-intercept is (0,3).
Answer:
Step-by-step explanation:
Given the system of equations:
2x + 3y = 15
X + 3y = 0
What is x?
2x + 3y = 15
X + 3y = 0 subtract the bottom equation fron the top one
2x - x + 3y - 3y = 15 - 0 see how the 3y - 3y equates to zero
2x - x = 15
x = 15 Now for extra credit what is y?
X + 3y = 0
15 + 3y = 0
15 - 15 + 3y = 0 - 15
3y = -15
3y/3 = -15/3
y = -5
-15
-5
0
5
15
Answer:
x^2+x-4
Step-by-step explanation:
(f-g)=(x^2+1)-(5-x)
=x^2+1-5+x
=x^2+x-4