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KengaRu [80]
3 years ago
7

Which theorem can be used to show that AJKL - AMNP?

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

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On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for
Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

  • 391 people used the public swimming pool
  • The daily prices are $1.25 for children and $2.25 for adults
  • The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
Did I get it correct?
VikaD [51]

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

7 0
2 years ago
Read 2 more answers
When inscribing a square in a circle, which of these should have equal lengths? A) a radius of the circle and a diagonal of the
koban [17]
Hope this helps you.

5 0
3 years ago
Read 2 more answers
Please help thanks ❗​
mojhsa [17]

Answer:

The Two Column Proof is given below.

Step-by-step explanation:

Given:

\overline{MP} \cong \overline{MN}

\overline{PO} \cong \overline{NO}

To Prove:

∠ P ≅ ∠ N

Proof:

In  Δ MPO  and Δ MNO

STATEMENT                                              REASONS  

1. MP ≅ MN                                   1. Given

2. PO ≅ NO                                  2. Given

3. MO ≅ MO                                 3. Reflexive property

4. ΔMPO ≅ ΔMNO                       4. Side-Side-Side congruence test}

5. ∠MPO ≅∠MNO                        5. Corresponding parts of congruent Triangles

i.e ∠ P ≅ ∠ N                                 ..................Proved

3 0
3 years ago
What is a denominator?
DanielleElmas [232]
<span>denominator is </span>number below the line in a common fraction.

Here's picture to show what is a denominator:


6 0
3 years ago
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