Answer:
The Proof is given below.
Step-by-step explanation:
Given:
LN⊥KM,
KL≅ML
To Prove:
ΔKLN≅ΔMLN
Proof:
In Δ KLN and Δ MLN
KL ≅ ML ....……….{Given i.e Hypotenuse }
LN ≅ LN …………..{Reflexive Property}
∠ LNK ≅ ∠ LNM ……….{ LN ⊥ KM i.e Measure of each angle is 90° given}
Δ KLN ≅ Δ MLN ….{By Hypotenuse Leg Theorem}
....Proved
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.
3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:
3x + 2y = 2.85 (1)
4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:
4x + 5y = 5.41 (2)
Solving equation 1 and 2 simultaneously gives:
x = 0.49, y = 0.69
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
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<h3>
Answer: 8p^3 + 10p^2 + 14p</h3>
Explanation:
The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside
2p times 4p^2 = 2*4*p*p^2 = 8p^3
2p times 5p = 2*5*p*p = 10p^2
2p times 7 = 2*7p = 14p
The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.
Andrew walked for 3/4 miles after his break
<h3>
How to calculate the number of miles Andrew walked after the break ? </h3>
Andrew went for a walk
The trail he took is 1 1/4 miles long
He walked for 1/2 miles before stopping for a water break
After the break, he continued the journey
He continued the journey without stopping
The distance Andrew walked after his break can be calculated as follows
5/4 - 1/2
= 5-2/4
= 3/4
Hence Andrew walked for 3/4 miles after taking the break
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