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barxatty [35]
3 years ago
9

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, writ

e not possible.
ASA

SAS

SSS

not possible

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

The triangles are congruent by

SSS

Step-by-step explanation:

Given:

First Label the Diagram:

AB ≅ CD

AD ≅ BC

To Prove:

Δ ABC ≅ Δ CDA

Proof:

In  Δ ABC and Δ CDA

AB ≅ CD     ....……….{Given}

BC ≅ DA     …………..{Given}

AC ≅ AC     ……….{Reflexive Property}

Δ ABC ≅ Δ CDA  ….{ By Side-Side-Side test}

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A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair ut
miskamm [114]

Answer:

a) 50S + 30C ≤ 800

b) 1) MAX = S + C

   2) Max = 0.03S + 0.05C

   3) Max = 6S + 5C

Step-by-step explanation:

Given:

Total space = 800 square feet

Each sofa = 50 square feet

Each chair = 30 square feet

At least 5 sofas and 5 chairs are to be displayed.

a) Write a mathematical model representing the store's constraints:

Let S denote number of sofas displayed and C denote number of chairs displayed.

The mathematical model will be:

50S + 30C ≤ 800

At least 5 sofas are to be dispayed: S ≥ 5

At least 5 chairs are to be displayed: C ≥ 5

b)

1) Maximize the total pieces of furniture displayed:

S + C = MAX

2) Maximize the total expected number of daily sales:

MAX = 0.03S + 0.05C

3) Maximize the total expected daily profit:

Given:

Profit on sofas = $200

Profit on chairs = $100

Max Expected daily profit =

Max = (200S * 0.03) + (100C * 0.05)

<em>Max = 6S + 5C</em>

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3 years ago
Which of the following ecpression is equivalent
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3 years ago
Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool
Dmitriy789 [7]

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

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For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

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What would (x+2,y-3) look like
BigorU [14]
This is what I got I hope this helps

7 0
3 years ago
I need these answers checked to see if I did them correctly.
madam [21]
They look correct to me!
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4 years ago
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