The width of scale drawing is 4 inches
Step-by-step explanation:
The length of room =L1= 18 ft
The width of room =W1= 12 ft
The scale drawing length=L2 = 6 inches
The scale drawing width W2= x
According to rule of three
putting values in equation we get
Re-arranging the equation we get
So the width of scale drawing is 4 inches
Keywords: Algebra
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Answer:
96
Step-by-step explanation:
To get the volume multiply the length, width, and Height
12x4x2=96
Answer:
9 (i - 1)
Step-by-step explanation:
Simplify the following:
-7 + 3 i - (-6 i + 2)
-(2 - 6 i) = -2 + 6 i:
6 i - 2 - 7 + 3 i
-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:
9 i - 9
Factor 9 out of 9 i - 9 giving 9 (i - 1):
Answer: 9 (i - 1)
D
They are the same length :)
It is fine that you did not include the measure of angle XYZ in your posting.
This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.
It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...
But... in the fourth, dilation, the image now has a different size. It is still, however the same shape.
In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image. After dilation, the image is "similar" but not "congruent."
So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.
So the first choice is correct. The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
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