The rotation about the origin that is equivalent to R-200° is; C. R160
<h3>How to find the angle of rotation?</h3>
We are given;
Origin = -200°
Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.
Thus;
By adding 360° to -200°, we have;
α = -200° + 360°
α = 160°
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Answer:
4x -3
Step-by-step explanation:
The distributive property applies.
3x +4(x -6) -3(x -7)
= 3x +4x +4(-6) -3x -3(-7) . . . . use the distributive property
= 3x +4x -24 -3x +21 . . . . . . . . simplify
= x(3 +4 -3) +(-24 +21) . . . . . . . group like terms, use the distributive property again
= 4x -3 . . . . simplify
Answer:
324
Step-by-step explanation:
Answer:
Step-by-step explanation:
The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.
1 mile = 1760 yards
24.5 miles = 24.5 × 1760
= 43120 yards
Therefore, the car drives 43120 yards on 1 gallon of gas.
Answer:
L = 70
W = 32
Step-by-step explanation:
P = 2L + 2W
P 204 feet
W = x
L = 2x + 6
P = 2L + 2W
P = 2*(2x + 6) + 2*x
P = 4x + 12 + 2x
P = 6x + 12
But we know that P = 204 So 6x + 12 = 204
6x + 12 = 204 Subtract 12 from both sides
6x + 12 - 12 = 204 - 12 Collect like terms on the right
6x = 192 Divide by 6
x = 192/6
x = 32
Answer
W = 32
L = 2*W + 6
L = 2*32 + 6
L = 64 + 6
L = 70
