Rotation is a type of transformation refered to a in which the shape of the original object is preserved and the angle of rotation is constanf for all the parts of the body.
Thus, when <span>ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.
</span><span>m∠EAE ' = m∠FAF '</span>
It is approximately 1.000
Answer: B)1,047 feet
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate the circumference of the tire:
Circumference(C): π x diameter
C = π (20) = 62.83 inches.
Since 1 foot is equal to 12 inches.
62.83 ÷ 12 = 5.23 feet
Finally we have to multiply the result by 200:
5.23 x 200 = 1,047 feet
Feel free to ask for more if needed or if you did not understand something.
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
Answer:
p=(4q-5)/2
Step-by-step explanation:
p+4q=3p+5
3p-p=4q-5
2p=4q-5
Dividing both sides by 2
p=(4q-5)/2
