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sergey [27]
2 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]2 years ago
7 0

Answer:

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

Step-by-step explanation:

Levart [38]2 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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7 pages

Step-by-step explanation:

Given the total number of pages in the book are 16

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2 years ago
Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002
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Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

C(q)=200+2.2q ---> the cost

The profit  P(q) is equal to

P(q)=R(q)-C(q)

substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

P(q)=3q-0.002q^{2}-200-2.2q

P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

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see the attached figure

therefore

The value of q that maximize the profit is q=200 units

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2 years ago
Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visi
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Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 603, \pi = \frac{142}{603} = 0.2355

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The lower limit of this interval is:

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Answer:

c. \frac{1}{5}

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OPTION C is correct.  

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