All categories

3 years ago

Can you help me with this question?

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

Answer:

16.2

Step-by-step explanation:

The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.

Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:

BC/FC = DC/AC

BC = FC(DC/AC) = 21.6(7.2/9.6)

BC = 16.2 . . . . matches the first choice

You might be interested in

Two brothers shared the coins in a piggy bank. Alan received 140 coins. When he gave 48 coins to his brother, the number of his

Musya8 [376]

Assume Alan's brother has x coins before Alan gave him 48 coins
x+48=1.4x (increased by 40%)
0.4x=48
x=120
120+140=260
answer is 260 coins

5 0

3 years ago

Somebody please help me?

Natalija [7]

The events A and B are independent events, and the values of P(A) and P(B) are 7/12 and 1/2, respectively

<h3>The value of P(A)</h3>

The event A is given as:

A : Sum greater than 6

In the sample space of a roll of two dice, there are 21 outcomes that are greater than 6, out of a total of 36 outcomes

This means that:

P(A) = 21/36

Simplify

P(A) = 7/12

<h3>The value of P(B)</h3>

The event B is given as:

B : Sum is divisible by 2

In the sample space of a roll of two dice, there are 18 outcomes that are divisible by 2, out of a total of 36 outcomes

This means that:

P(B) = 18/36

Simplify

P(B) = 1/2

Hence, the probability values of P(A) and P(B) are 7/12 and 1/2, respectively

Read more about probability at:

brainly.com/question/251701

#SPJ1

5 0

2 years ago

A pole that is 3m tall casts a shadow that is 1.3m long. At the same time, a nearby building casts a shadow that is 41.75m long.

8090 [49]

Answer:We're looking for a,b such that

\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}

Step-by-step explanation:

6 0

3 years ago

A doctor's office found that a lower outside temperature did not indicate a change in the number of appointments made. What can

dlinn [17]

Answer:

Step-by-step explanation:

Helllooo

5 0

2 years ago

Read 2 more answers

How to solve this problem im not getting a good answer

kow [346]

Well, you have to simplify the bottom part to be able to answer it as a whole number. Hope this helps.

7 0

3 years ago

Read 2 more answers