Question 3
Find the measure of the given arc.
mWVY

Given:

m(ar XW) = 47.3°

To find:

The measure of arc WVY

Solution:

In the given figure XW and XY are equal arcs.

m(ar XY) = m(ar XW)

m(ar XY) = 47.3°

Measure of complete circle = 360°

m(ar WVY) + m(ar YX) + m(ar XW) = 360°

m(ar WVY) + 47.3° + 47.3° = 360°

m(ar WVY) + 47.3° + 47.3° = 360°

m(ar WVY) + 94.6° = 360°

Subtract 94.6° from both sides.

m(ar WVY) + 94.6° - 94.6° = 360° - 94.6°

m(ar WVY) = 265.4°

The measure of arc WVY is 265.4°.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

move it to the other side

step-by-step explanation: