Let a,b,c and d be constants. Determine which of the lines, if any, are parallel or perpendicular.

Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is p

lianna [129]

Answer: A

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is

n-4(32.5) > 300;n > 430

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2 years ago

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Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s

Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

sides and including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅

2 corresponding angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

angles and one side in the 2ndΔ

* Lets solve the problem

- In 2 Δs ADC and EBC

∵ ∠ACE is a common angle in the two triangles ⇒ given

∵ ∠CAD ≅ ∠CEB ⇒ because they marked with the same symbol

∵ DC ≅ BC ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles

and one side in Δ EBC

∴ Triangles ADC and EBC congruent by AAS

* Yes Triangles ADC and EBC congruent by AAS

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2 years ago

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At a track meet, the longest shot put throw by a boy is 25 feet and 8 inches. The longest shot put throw by a girl is 19 feet an

MAVERICK [17]

Its 6 feet and 5 inches

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2 years ago

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Kenny is thinking of two numbers greater than 10.

soldier1979 [14.2K]

Answer:

The numbers are 21 and 28

Step-by-step explanation:

Here, we want to write out the two numbers from the information in the question

Firstly, the two numbers are greater than 10

The highest common factor of both numbers is 7

While the lowest common multiple of both numbers is 84

Since 7 is a factor of both, the numbers must be multiples of 7

So let us list out the multiples of 7 greater than 10

14, 21 , 28 , 35 , 42 , 49, 56 , 63 , 70 , 77 , 84 ,

The numbers cannot be greater than 84

out of all, only the following is a multiple of 84;

14,21 , 28 , 42 and 84

The correct answers here are 21 and 28

Reason for this is that only the two satisfied the properties given

8 0

2 years ago

You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (\text{km})(km)left parenthesi

kherson [118]

Answer:

Step-by-step explanation:

First you will multiply Rivers edge 3x8=24 and then wooden marsh 8x20=160, lastly canyon creek 15x35=525. So it would be canyon creek, wooden marsh and rivers edge!

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2 years ago

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