All categories

2 years ago

Triangle ABC is similar to triangle PQR, as shown below:

Mathematics

2 answers:

dalvyx [7]2 years ago

8 0

Let's see here... well, since the first letter in the ratio is from the first triangle, then, the first one in the equal ratio is going to have to be that as well, and the ratio of c:a wouldn't work, since c was already used. By process of elimination, it's gotta be b:q.

Montano1993 [528]2 years ago

8 0

we know that

If triangle ABC is similar to triangle PQR

then

the corresponding sides are proportional

$\frac{AC}{PR}= \frac{AB}{PQ}= \frac{BC}{QR}$

substitute the values

$\frac{b}{q}= \frac{c}{r}= \frac{a}{p}$

$\frac{c}{r}=\frac{b}{q}$

$\frac{c}{r}=\frac{a}{p}$

therefore

<u>the answer is the option</u>

$b:q$

You might be interested in

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past

galina1969 [7]

Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

The sample size is n = 15

Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

$X \ is \ B( 15 , 0.90 )$

Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

$\mu = 15 * 0.90$

$\mu = 13.5$

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$