Answer: 12
Step-by-step explanation:
Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).
Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)
Hence, YZ=12.
Answer:
<u>Step-by-step explanation:</u>
9x + 2a = ac - bx
9x = ac - bx - 2a <em>subtracted 2a from both sides</em>
9x + bx = ac - 2a <em>added bx to both sides</em>
x(9 + b) = a(c - 2) <em>factored out x from the left and a from the right</em>
<em>divided both sides by 9+b</em>
(0,4) (0,-2) (-2,0)
for the reflection over the x-axis, all the y values go to their opposite (0,-4) (0,2) (2,0)
then at the rotation it goes (-x,-y) and becomes (0,4) (0,-2) (-2,0)
Answer:180
Step-by-step explanation: subtract the 200 that is worth of the bike
and by the amount that is more than she had from last month and there will be your answer! hope it helps!
Answer:
a = 2, b = - 6, c = 11
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
Compare the coefficients of the terms in standard form to
2x² - 6x + 11 = 0 ← in standard form
Thus a = 2, b = - 6 and c = 11