Answer:
x = 3.75 cm
Step-by-step explanation:
If we assume ΔABC ~ ΔXYZ, then ...
YZ/BC = YX/BA . . . . . . corresponding sides are proportional
x/15 = 3/12 . . . . . . . . . . . fill in given values
x = 15(3/12) = 15/4 . . . . . multiply by 15
x = 3.75 . . . cm
Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
Answer:
<u>8/10 hours or 48 minutes.</u>
Step-by-step explanation:
State the problem as a rule of 3:
3/4 room --------- 3/5 hours
1 room ------------ x

x= 0.8 hours.
• How much is 0.8 hours in minutes?
0.8 * 60 = 48 minutes.
Substitute y = 15x to the equation y = 25 + 12.5x:
15x = 25 + 12.5x <em>subtract 12.5x from both sides</em>
2.5x = 25 <em>divide both sides by 2.5</em>
x = 10
Substitute the value of x to the equation y = 15x:
y = (15)(10)
y = 150
<h3>
Answer: x = 10 and y = 150</h3>