For the triangle shown, three possible lengths of x, y, and z are given. Find the measurements for the other two sides in
each case.
Please answer

1) z = 6 y = 3√3

2) x = 6, z = 12

3) x = 5, y = 5√3

Step-by-step explanation:

x = 3

Sin(30) = x/z

½ = 3/z

z = 3/½ = 6

Tan(30) = x/y

1/√3 = 3/y

y = 3√3

For other parts, you can either use trig ratios again or use similar figures.

I'm using similar figures, comparing the next triangles to the first one

2) y = 6√3 (every side doubles)

x = 6, z = 12

3) z = 10

(Factor 10/6)

x = 3×10/6 = 5

y = 3√3 × 10/6 = 5√3

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

honesty mood

step-by-step explanation: