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2 years ago

Can you help me with these too? its for a geometry final practice plisss

Mathematics

2 answers:

Furkat [3]2 years ago

7 0

Answer:

Step-by-step explanation:

as you look through the options, you can see that they are not both on the inside or out, they are one in and one out so that gets rid of the alternate interior and exterior angle theorems, or you can eliminate both A, B, and D.

since the transversal is going at the same angle through the parallel lines, you can see that if you put the bottom half over the top half, it will be congruent.

this leaves you with C which is then your answer.

Verizon [17]2 years ago

4 0

The answer is C because my friend has told me it.

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A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along the axis of symmetry and the

Elis [28]

9514 1404 393

Answer:

8√3 ≈ 13.86 ft

Step-by-step explanation:

The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...

y = 1/(4p)x^2

y = 1/12x^2

The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.

For y=4, the corresponding value of x is ...

4 = 1/12x^2

48 = x^2

√48 = x = 4√3

Then the width of the searchlight opening is ...

2(4√3 ft) = 8√3 ft ≈ 13.86 ft

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3 years ago

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3 years ago

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Answer:

(−2,10)

Step-by-step explanation:

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3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

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$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

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Answer:

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Step-by-step explanation:

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