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ser-zykov [4K]
3 years ago
9

a map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area

of the lake?
Mathematics
2 answers:
Mariulka [41]3 years ago
6 0

Answer: the answer is 13.5 is the area

Step-by-step explanation: I believe you should multiply 4.5 square inches by 3mi to get 13.5 mi.

Alekssandra [29.7K]3 years ago
3 0

Answer:

the area represents 40.5 square miles

Step-by-step explanation:

Since 1 inch represents 3 miles, then 1 inch x 1 inch = 1 square inch represents 3 mi x 3 mi = 9 square miles

Therefore, 4.5 square inches would represent 4.5 x 9 square miles = 40.5 square miles

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The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

Prove \ x = \dfrac{62}{9}

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S4. 9·x = 62                   {}R4. <u>Subtraction property</u>

S5. x = \dfrac{62}{9}                     {} R5. <u>Division property of equality</u>

Question 2.

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S1. m∠A + m∠B = m∠D   {}                     R1.  Given

S2. ∠C and ∠D form a Linear Pair   {}   R2. Definition of linear pair

S3. ∠C and ∠D are supplementary   {}R3. <u>Linear pair ∠s are supplementary</u>

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Question 3.

Statement                                     {} Reason

S1. ∠BDA ≅ ∠A                             {} R1. Given

S2. ∠BDA ≅ ∠CDE                      {}  R2. <u>Vertical angle theorem</u>

S3. ∠CDE ≅ ∠A                      {}       R3. Transitive property of congruency

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