Ted’s farm has 4 horses, 12 goats, 2 sheep, and 18 cows. Find the angle measure of the sector of a circle graph that represents each animal. Enter the correct answers in the boxes.

horses:40°

goats:120°

sheeps:20°

cows:180°

Step-by-step explanation:

4+12+2+18=36 (total number of animals)

360°÷36=10° (a circle has a angle of 360°)

This means that 1 animal is 10°

horses: 4 × 10° = 40°

goats: 12 × 10° = 120°

sheeps: 2 × 10° = 20°

cows: 18 × 10° = 180°

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,