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sergey [27]
3 years ago
14

Which statement is not used to prove that ΔABC is similar to ΔADE? triangles ABC and ADE in which point E is between points A an

d C on segment AC and point D is between points A and B on segment AB, angle A is a right angle AC is a transversal line passing ED and CB. Angle A is congruent to itself, due to the reflexive property. Segments ED and CB are parallel. The sum of angles A and B are supplementary to angle C.
Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

Answer:

The sum of angles A and B are supplementary to angle C.

Step-by-step explanation:

Levart [38]3 years ago
4 0

Answer:

The correct option is;

The sum of angles A and B are supplementary to angle C

Step-by-step explanation:

The statements are analysed as follows

1. Angle A is congruent to itself reflective property

Which shows that ΔABC and ΔADE have a common and equal angle

2. Segment ED and CB are parallel

From the transversal line passing EB and CB which shows that the angles ∠ADE and ∠ABC are equal and also ∠AED and ∠ACB are equal

The statement is used to prove similarity between the ΔABC and ΔADE

3. The sum of angles A and B are supplementary to angle C

The above statements relates to only ΔABC and i does not show similarity between ΔABC and ΔADE.

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Answer:

-2?

Step-by-step explanation:

4 0
3 years ago
What is the equation of a parabola with a focus (-2,4) and directrix y = 0?
Ronch [10]
The general form of a parabola  when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus.  We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus.  Remember that the parabola will hug the focus and run away from the directrix.  The formula would be slightly different if the parabola was opening either left or right.

Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix.  The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2.  We can now write the equation of the parabola:
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5 0
3 years ago
Ask Your Teacher The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particula
Georgia [21]

Answer:

The level is L = 0.084

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.08, \sigma = 0.01, n = 36, s = \frac{0.01}{\sqrt{36}} = 0.0017

What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01?

This is X when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.325.

Z = \frac{X - \mu}{\sigma}

By the Central limit theorem

Z = \frac{X - \mu}{s}

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X - 0.08 = 2.325*0.0017

X = 0.084

The level is L = 0.084

4 0
4 years ago
You invest $1000 in an accound that pays 7.9% interest, compounded monthly. How much money is in the account at the end of three
faust18 [17]

Answer:I hope the following example will help you

Step-by-step explanation:

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

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4 0
3 years ago
Read 2 more answers
Help me pls the quration is hard​
Vanyuwa [196]

Answer:

see explanation

Step-by-step explanation:

The 4 sides of a rhombus are congruent.

(i)

2y + x - 4 = 2x - y ( subtract 2x - y from both sides )

3y - x - 4 = 0 ( add 4 to both sides )

3y - x = 4 → (1)

and

\frac{4x-3y+5}{2} = 2x - y ( multiply both sides by 2 to clear the fraction )

4x - 3y + 5 = 4x - 2y ( subtract 4x - 2y from both sides )

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- y = - 5 ( multiply both sides by - 1 )

y = 5

substitute y = 5 into (1)

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x = 11

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8 0
2 years ago
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