Answer:
<u>Δ MNO ≅ Δ PQR by ASA postulate</u>
Step-by-step explanation:
Δ MNO and Δ PQR are congruents because:
1. Their included sides MN and PR are equal (22 units = 22 units)
2. Their angles ∠M and ∠P are equal (100° = 100°)
3. Their angles ∠N and ∠Q are equal (35° = 35°)
<u>Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.</u>
Answer:
The area of four small rectangles are ac, bc, ad and bd.
For set of dishes,price of discount =10%of $35.66=$3.566
Cost price of set of dishes = $35.66
Selling price of set of dishes =$35.66-$3.566
=$32.094
Cost price of towel=$21.56
Price of coupon =$2.75
Selling price after using coupon =$21.56-$2.75= $18.81
Cost price of candle =$9.02
Price of coupon=$0.50
Selling price of candle after using coupon =$9.02 -$0.50 =$8.52
Therefore the answer is D since she saved the greatest percentage on the set of dishes
Answer:
l = 60 yd; w = 30 yd
Step-by-step explanation:
We have two bits of information
(a) The perimeter of the rectangle
The formula for the perimeter of a rectangle is
P = 2l + 2w
P = 180 yd Insert into the formula
(1) 2l + 2w = 180
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(b) The length-to-width ratio
(2) l = 2w
Substitute the value of l from Equation (2) into Equation (1)
2×(2w) + 2w = 180
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Solve for w
4w + 2w = 180 Combine like term
s
6w = 180 Divide each side by 6
w = 30 yd
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Solve for l
Substitute the value for w into Equation (1).
2l +2×30 = 180
2l +60 = 180 Subtract 60 from each side
2l = 120 Divide each side by 2
l = 60 yd
The field is 60 yd long and 30 yd wide.
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<em>Check</em>:
P = 2×60 + 2×30
P = 120 + 60
P = 180 yd
Also
60 = 2 × 30
60 = 60