Answer:
7
Step-by-step explanation:
First, subtract 7 from 25. Then divide the answer by 2.5. You get 7 as your answer :)
Solve both equations for y:
Set the expressions equal to each other:
So, for every nonzero number a the system of equations has
one solution.
I'll do the first graph.
We can easily find the y intercept by inputting 0 for x.
y = -2(0) + 7
y = 7
The y-intercept is (0, 7)
To find the x intercept, isolate x.
y = -2x + 7
Add 2x to both sides.
2x + y = 7
Subtract y from both sides.
2x = -y + 7
Divide by 2 on both sides.
x = -1/2y + 3.5
Input 0 for y.
x = -1/2(0) + 3.5
x = 3.5
The x intercept is (3.5, 0)
Now try the rest own your own! :)
Answer: C) similar, SAS similarity, triangle LQR
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Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
