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2 years ago

Help on this please.

Mathematics

1 answer:

Katena32 [7]2 years ago

5 0

Answer:

x=25

Step-by-step explanation:

This is a parallelogram, so we know the angle opposite of a certain angle is the same. (i.e. Angle D=Angle B). Since we know what angle D, A, C, and B add to 180, we can add them to get (5x+15+2x-10)*2=360, which simplifies to 14x+10=360. If we subtract 10 from both sides, we get 14x=350. Solving for x is easy from here. We simply do 350/14 and get 25. Hopefully this explanation helps!

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What information is necessary to prove the triangles congruent by SAS?

Ber [7]

Answer:

SAS requires two congruent sides and the included angle be also congruent

Given is the picture are congruent triangles

ΔACB ≅ ΔECD, because:

AC ≅ EC, given
BC ≅ DC, given
∠ACB ≅ ∠ECD, vertical angles

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2 years ago

Read 2 more answers

Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200

Virty [35]

Answer:

work done is equal to 384279168 lb-ft

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as $\pi r^{2} h$

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = $3.142* 7^{2}*200$ = 30791.6 ft^3

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = 1921395.84 lb

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

==> work done is equal to 384279168 lb-ft

7 0

3 years ago

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kondor19780726 [428]

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tekilochka [14]

The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this context, is the number 415.9 a parameter or a statistic?

Answer: The number 415.9 is a parameter because it represents the population characteristic.

Explanation:

Parameter: Parameters are numbers that summarize the entire population. For example the population mean summarizes the entire population, similarly population standard deviation describes the characteristic of entire population.

Statistic: Statistic are numbers that describes the sample. For example, the sample mean summarizes the sample which is drawn from the population, similarly the sample standard deviation describes the characteristic of sample.

Therefore, the population mean length of the holes at the golf courses (415.9 yd) is parameter.

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