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Lelu [443]
3 years ago
5

Can you plzz help me. Evaluate the angles and give reasons for your answer.​

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0

Answer:

14. D=70°

e=110°(straight line angles)

15. R=42°(vertically opposite angles)

S=68°(sum of interior angles of a triangle)

16.x=50°(angles on a straight line)

y=70°(sum of interior angles of a triangle)

hope this helps you

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The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20
PilotLPTM [1.2K]

Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

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Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

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Hence, the depth of the YMCA lap pool is 2 meters.

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3 0
2 years ago
The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel
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Answer:

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Step-by-step explanation:

By definition, Direct proportion equations have the following form:

y=kx

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In this case, let be "c"  the the amount of caffeine consumed  (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

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Then, the first step is to find the Constant of proportionality "k".

Knowing that:

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We can substitute values into the equation:

24=k(8)

Now, solving for "k", we get:

\frac{24}{8}=k\\\\k=3

Therefore, we can write the following equation that represents that proportional relationship:

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3 years ago
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