Answer:
∠y = 62.5°
∠x = 27.5°
Step-by-step explanation:
z is right angle. ∠z = 90°
∠x = ∠y - 35
∠x + ∠y + ∠z = 180 {Angle sum property of triangle}
y - 35 + y + 90 = 180
y + y - 35 + 90 = 180 {Combine like terms}
2y + 55 = 180
2y = 180 -55 {Subtract 55 from both sides}
2y = 125 {Divide both sides by 2}
y = 125 /2
∠y = 62.5°
∠x = 62.5 - 35 = 27.5°
Answer:
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
Answer:
C
Step-by-step explanation:
We are given that FGH is a triangle, which means that...
Angle F + Angle G + Angle H = 180
Start by substituting the given angle measurements into the equation:
4x+2+13x-7+3x+5=180
Combine like terms
20x=180
Divide both sides by 20 to isolate x
x=9
Plug 9 back in for x to solve for each angle
Angle F = 4(9)+2=36+2=38
Angle G = 13(9)-7=117-7=110
Angle H = 3(9)+5=27+5=32
Value of the boat after 9 years= 12050*(1-0.12)^9
=$3814(correct to nearest integer)