Step-by-step explanation:
(x, y) -> (x+3, y+4)
that is what 3 units to the right (3 units into the outsource x direction) and 4 units up (4 units into the posits y directing) mean.
so, all points go through this translation
(1, 7) -> (4, 11)
(-4, -2) -> (-1, 2)
(-3, 5) -> (0, 9)
Answer: 23 degrees
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Explanation:
Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC
Angle ABC is given to be 46 degrees, the formula we use is shown below
central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards
At the 3/4 marker, the rider can collect a green ribbon and a blue ribbon.
Because 3/4 is the 3rd stop for a blue ribbon and 3/4 is the 6th stop for a green ribbon.
9/10 * 5/2 = 45/20
The quotient will be greater than 1
