Remark
All you need do is assume the small triangle is similar to the large one. MO:ML :: MP:MN must be solved.
Givens
MO = 28
ML = 28 + 14
MP = y
MN = y + 18
Equation
28:28+14 :: y: y + 18
Solve
28/42 = y / (y + 18)
28*(y + 18) = 42y Remove the brackets
28y + 18*28 = 42y
28y + 504 = 42y Subtract 28y from both sides.
504 = 42y - 28y
504 = 14y Divide by 14
504/14 = y
y = 36
Answer:
x + y ≥ 4
8x + 10y ≤ 70
Step-by-step explanation:
1. State the variables
According to the graph, "Number of green towels" is on the x-axis, and "Number of blue towels" is on the y-axis, so:
let x be the number of green towels.
let y be the number of blue towels
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2. <u>Write an equation for the total number of towels</u>.
The sum of number of green towels and the number of blue towels is the total number of towels.
x + y ≥ 4
"She wants to buy at least 4 towels" means she needs 4 or more. Use the ≥ symbol instead of > (which would mean more than 4 towels, not only 4).
3. <u>Write an equation for the money</u> she will spend.
Multiply each variable by the cost of the towel colour. Add them together. Equate the total as 70 because she is only willing to spend 70.
8x + 10y ≤ 70
"She does not want to spend more than $70" means she is willing to spend 70, but no more. This is why we use ≤ and not < (which would mean she would not spend 70, only less than 70).
The equations are x + y ≥ 4 and 8x + 10y ≤ 70.
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,

m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?

Cross multiply:


Divide both sides by 0.68 to solve for XY


XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer:
Sherri paid the most
Step-by-step explanation:
35% > 33%