Answer:
1) x = 94 cm
2) x = 42.9 m
3) x = 41 cm
4) x = 20 cm
5) hypotenuse = 37 inches
Step-by-step explanation:
1)
Lets YK = y
95.2 / 168 = 34/y
Cross multiply
95.2y = 168 * 34
95.2y = 5712
y = 60
x = 24 + y
x = 34 + 60
x = 94
2)
MA = 67.2 - 32
MA = 35.2
35.2 / 67.2 = x/81.9
Cross multiply
67.2x = (81.9)(35.2)
67.2x = 2882.88
x = 42.9
3)
49/35 / 58.8 / (x +1)
7/5 = 58.8 / (x +1)
Cross multiply
7(x+1) = 58.8 * 5
7x + 7 = 294
7x = 287
x = 41
4)
11/121 = 10/(5x+10)
1/11 = 10 /(5x+10)
Cross multiply
5x+10 = 110
5x = 100
x = 20
5)
A = 1/2bh
210 = 1/2 (35) b
420 = 35b
b = 420/35
b = 12 in
hypotenuse = √(35^2 + 12^2)
hypotenuse = √(1225 + 144)
hypotenuse = √1369
hypotenuse = 37
