All categories

3 years ago

State if the triangles in each pair are similar. If so, state how you know they are similar.

Mathematics

1 answer:

Zarrin [17]3 years ago

6 0

Answer:

A) similar; SAS similarity.

Step-by-step explanation:

SAS Triangle Similarity

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

You might be interested in

Is lb bigger or smaller than oz

bogdanovich [222]

Answer:

A pound is bigger.

Step-by-step explanation:

16 ounces is equal to 1 pound.

3 0

3 years ago

Read 2 more answers

The price of Stock A at 9 A.M. was $15.75. Since then, the price has been increasing at the rate of $0.05 per hour. At noon,

Leya [2.2K]

Answer: 3.5

Step-by-step explanation:

8 0

4 years ago

X-3 / 4 = r/4 pls show the steps and the answer for this problem

Dima020 [189]

$\\ \rm\longmapsto \dfrac{x-3}{4}=\dfrac{x}{2}$

$\\ \rm\longmapsto 2(x-3)=4x$

$\\ \rm\longmapsto x-3=\dfrac{4x}{2}$

$\\ \rm\longmapsto x-3=2x$

$\\ \rm\longmapsto x-2x=3$

$\\ \rm\longmapsto -x=3$

$\\ \sf\longmapsto x=-3$

8 0

3 years ago

Read 2 more answers

What is the area of the triangle shown

Sati [7]

Answer:

The answer is 40 sq. units

That is: 1/2×b×h (formula for area of triangle)

1/2×10×8

= 40

7 0

3 years ago

A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0

3 years ago