Answer:
x = 
Step-by-step explanation:
According to Pythagorean Theorem, the square value of hypotenuse is equal to sum of square value of two legs:
x^2 + 4^2 = 10^2
x^2 + 16 = 100 subtract 16 from both side
x^2 = 84 find the root of both sides
x = 
Answer:
45°
Step-by-step explanation:
Angle CDE is half of a right angle
1. 90°/2 = 45°
Answer:
30
Step-by-step explanation:
Work backwards:
- 6 is 3/5 of a number, and that number is 10
- 10 is 1/3 of a number, and that number is 30
Check your work:
- 2/3 of 30=20 toy to Sarah
- 30-20=10 toys left
- 2/5 of 10=4 toys to Ryan
- 10-4=6 toys left
st + 3t = 6 for s
Subtract 3t to both sides
st + 3t - 3t = 6 - 3t
Simplify
st = 6 - 3t
Divide both sides by t
st/t = (6-3t)/3
simplify
s = 6/3 - 3t/3
s = 2 - t
The given line has a slope of -1 so the perpendicular line will have a slope of -1/1=1
y=x+5