Answer:
The transformation
maps triangle XYZ onto triangle X”Y”Z”.
Step-by-step explanation:
Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.
Now Z = (-2, 2) and Z'' = (-7, -1).
The x-coordinate goes from -2 ⇒ -7.
The y-coordinate goes from 2 ⇒ -1.
The x-coordinate is just shifted by -5; thus, 
, and the y-coordinate first transforms as 
, and is then shifted by 1; thus, it transforms as 
.
So we have the full transformation
Step-by-step explanation:
the total angles in the triangle are 180°
so,
63° + 57° + ∠2 = 180°
120° + ∠2 = 180°
∠2 = 180° - 120°
∠2 = 60°
<h3>#CMIIW</h3>
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
A and B are the correct answers.
Hope this helps.
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