Answer:
<em>A</em>(-3, 6), <em>B</em>(-1, -2), <em>C</em>(-7, 1)
Step-by-step explanation:
To the pre-image after a 270°-counterclockwise rotation [90°-clockwise rotation], just reverse it by doing a 270°-clockwise rotation [90°-counterclockwise rotation]:
Extended Rotation Rules
- 270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
- 270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
- 180°-rotation >> (x, y) → (-x, -y)
So, perform your rotation:
270°-clockwise rotation [90°-counterclockwise rotation] → <em>C</em><em>'</em>[1, 7] was originally at <em>C</em>[-7, 1]
→ <em>B'</em>[-2, 1] was originally at <em>B</em>[-1, -2]
→ <em>A</em><em>'</em>[6, 3] was originally at <em>A</em>[-3, 6]
I am joyous to assist you anytime.
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
Answer:
45
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 - 2 = 1, thus
= 2 + (43 × 1) = 2 + 43 = 45
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
