Answer:
- ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as
Volume = L × W × H
Where
H represents the thickness of the gravel to be added to the driveway.
W represents the width of the driveway.
L represents the length of the driveway.
From the information given,
L = 15 yards
W = 3 yards
H = 6 inches.
36 inches = 1 yard
6 inches = 6/36 = 0.167 yard
Therefore, the volume of gravel required would be
V = 15 × 3 × 0.167 = 7.515 cubic yards
Answer:
The measure of arc BD is 147°
Step-by-step explanation:
we know that
If segment AB is perpendicular to segment CD
then
The measure of the inner angle CPA is a right angle (90 degrees)
Remember that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠CPA=(1/2)[arc AC+arc BD]
substitute the given values
90°=(1/2)[33°+arc BD]
180°=33°+arc BD
arc BD=180°-33°=147°
Answer:
c. f(x) x+1/x-1
Step-by-step explanation:
To answer this question, we need to check each answer one by one until we find the right one.
y = (x+6)/(x-6)
switch x and y
x = (y+6)/(y-6)
solve for y
x(y-6) = y+6
xy - 6x = y+6
y(x-1) = 6x+6
y = (6x+6) /(x-1) = 6(x+1)/(x-1)
f^-1(x) = 6(x+1)/(x-1)
y = (x+2)/(x-2)
switch x and y
x = (y+2)/(y-2)
solve for y
x(y-2) = y+2
xy -2x = y+2
y(x-1) = 2x+2
y = (2x+2)/(x-1)
f^-1(x) = 2(x+1)/(x-1)
y = (x+1)/(x-1) ------ correct one
switch x and y
x = (y+1)/(y-1)
solve for y
x(y-1) = y+1
xy - x = y+1
y(x-1) = x+1
y = (x+1)/(x-1)
f^-1(x) = (x+1)/(x-1)
f(x) = f^-1(x)
Answer:
I think it is A
Step-by-step explanation:
