Which triangle could be drawn as is it described

The product of any fraction and 1/6 will always be less than 1?

avanturin [10]

That is not true, but 1/6 is less than 1

3 0

3 years ago

In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are giv

givi [52]

Angle 1 is congruent to angle 2, since BD bisects <ABC and the two angles created on each side of the bisector at point B are equal.
<2 ≅ <3 because of the corresponding angles theorem.
<1 ≅ <4 because alternate angles are congruent if two parallel lines are cut by a transversal.
<3 ≅ <4 by the substitution property of equality.
AD/CD = EB/CB by the triangle proportionality theorem.
If two angles in a triangle are congruent, the sides opposite the angles are congruent, so AE = EB.
AD/CD = AB/CB by the substitution property of equality.

<h3>The properties of similar triangles.</h3>

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

<h3>What is the substitution property of equality?</h3>

The substitution property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can reasonably infer and logically deduce that the ratio of AD/CD is equal to AB/CB based on the substitution property of equality.

Read more on substitution property here: brainly.com/question/2459140

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Complete Question:

In ΔABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction, you are given that BD bisects <ABC.

Prove: AD/CD = AB/CB.

Complete the paragraph proof.

8 0

2 years ago

Out of 60 people surveyed at the movies, 45 people said they bought popcorn.If there were 420 people at the movies how many woul

zhenek [66]

Answer:

315

Step-by-step explanation:

45/60 = 3/4

3/4 * 420 = 315

6 0

3 years ago

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MaRussiya [10]

The answer is 41 , this is because the angles have to add up to 180 in total therefore 180-139 = 41

8 0

2 years ago

Read 2 more answers

"is it appropriate to use the normal approximation for the sampling distribution of"

Katyanochek1 [597]

Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.

Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.

1. Binomial distribution: Let the sampling distribution be the binomial distribution $B(n,p)$ , where $n$ is the number of trials and $p$ is the probability of success. It can be approximated by the Normal distribution with the mean of $np$ and the variance of $np(1-p)$ , denoted by $N(np,np(1-p))$ if the following condition is met:

$n>9\left(\frac{1-p}{p}\right)\text{ and } n>9\left(\frac{p}{1-p}\right)$

2. Poisson distribution: Let the sampling distribution be the Poisson distribution $P(\lambda)$ where $\lambda$ is its mean. It can be approximated by the Normal distribution with the mean $\lambda$ and the variance $\lambda$ , denoted by $N(\lambda,\lambda)$ when $\lambda$ is large enough, say $\lambda>1000$ (however, different sources may give different lower value for $\lambda$ but the greater it is, the better the approximation).

5 0

3 years ago