Answer:
D(9, 1)
Step-by-step explanation:
A being the midpoint means its coordinates satisfy ...
A = (E + D)/2
Solving for D, we find ...
D = 2A -E
= 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)
D = (9, 1)
Answer:
g = 5
Step-by-step explanation:
-8 + (-2g) = -18
-8 -2g = -18
-2g = -18+8
-2g = -10
g = -10/-2
g = 5
Answer:
We can use the distributive property.
(x + 2)(y - 1)
= x(y) - x(1) + 2(y) - 2(1)
= xy - x + 2y - 2
D. 226.08cm^2
Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.
Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.
Thus, A = 2(3.1415)(6)^2 = 226.08cm^2
Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
