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MaRussiya [10]
3 years ago
8

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in st

ep 2?

Mathematics
1 answer:
Assoli18 [71]3 years ago
5 0

Answer:

\frac{AB}{BC} = \frac{CE}{ED}

Step-by-step explanation:

Given

The attached proof

Required

Complete the missing piece

In (a), we have:

\triangle ABC \to \triangle CED

This implies that, the following sides are similar:

AB \to CE

AC \to CD

BC \to ED

An equation that compares the triangle can be any of:

\frac{AB}{BC} = \frac{CE}{ED}

\frac{AB}{AC} = \frac{CE}{CD}

.....

From the options;

\frac{AB}{BC} = \frac{CE}{ED} is true

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What is the average distance between the parabola y=30x(20-x) and the x-axis on the interval [0, 20]?
Anni [7]

Answer: the average distance between the parabola is 2000

Step-by-step explanation:

Given that;

y = 30x(20 - x) and the x-axis on the interval [0, 20]

f(x) = y = 30x(20 - x); [0, 20] and a=0, b=20

the average distance between the parabola will be

Average value = 1/20-0 ²⁰∫₀ 30x(20-x) dx

= 1/20 ²⁰∫₀ (600x-30x²) dx

= 1/20 [(600x)/2 - (30x³)/3]₀²⁰

= 1/20 [300x - 10x³]₀²⁰

inputting the limits, we get

= 1/20 [(300 × 20 × 20 - 10 × 20 × 20 × 20) - 0 - 0]

=  1/20 ( 120000 - 80000)

= 0.05 × 40000

<h2>= 2000</h2>

Therefore the average distance between the parabola is 2000

<h3 />
5 0
3 years ago
The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation?
Ede4ka [16]
3.937x10^-5 thats the answer..............................

7 0
4 years ago
A player in a game must roll a fair number cube and flip a coin. What is the probability of a player rolling a 4 and then flippi
jonny [76]
I would pick D as your answer
5 0
3 years ago
A rectangle is inscribed in a semicircle of radius 2. Let P = (x,y) be the point in the quadrant I that is a vertex of the recta
nlexa [21]

The solutions would be like this for this specific problem. Please refer to the attachment below. 

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.


4 0
4 years ago
Which of the following is a monomial?
UkoKoshka [18]

Answer:

It is D. ,C B

Step-by-step explanation:

Mono means single/one but binomial is only first because binomial is only (... +...)

So monomials are B,C,D

5 0
4 years ago
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