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4 years ago

Can you help me with this question?

Mathematics

1 answer:

Rufina [12.5K]4 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

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Please add explanation

Igoryamba

The answer is C

The equation has x = 8/10

To get X by itself you need to divide both sides by 8, so the equation should become X = 10/8

5 0

3 years ago

If a polynomial function f(x) has roots 3 and square root of 7, what must also be a root of f(x)

Neko [114]

Answer:

x = - $\sqrt{7}$

Step-by-step explanation:

Radical roots occur in pairs, that is

x = $\sqrt{7}$ is a root then so is x = - $\sqrt{7}$

3 0

3 years ago

Read 2 more answers

There are 36 ribbons of which 1/5 are yellow, 7/15 are pink and the remaining ribbons are

Kay [80]

Step-by-step explanation:

Let there be x blue ribbons

$\therefore \: \frac{1}{5} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{1 \times 3}{5 \times 3} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{3}{15} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{3 + 7}{15} + x = 36 \\ \therefore \: \frac{10}{15} + x = 36 \\ \therefore \: x = 36 - \frac{10}{15} \\ \therefore \: x = \frac{36 \times 15 - 10}{15} \\ \therefore \: x = \frac{540 - 10}{15} \\ \therefore \: x = \frac{530}{15} \\ \therefore \: x = 35\frac{5}{15} \\ \\ \therefore \: x = 35\frac{1}{3} \: are \: blue. \\$

5 0

4 years ago

Please this is urgent fill in the blanks

Nutka1998 [239]

Answer:

Step-by-step explanation:

hope this helps i havent done this in a while

4 0

3 years ago

Of 340 male and 270 female employees at the home office of Gibraltar Insurance Company, 170 of the men and 180 of the women are

sineoko [7]

Answer:

The correct answer is 0.486.

Step-by-step explanation:

Total number of employees at the home office of Gibraltar Insurance Company is 270 + 340 = 610

Number of employees on flex time are 350, out of which 170 are men and 180 are women.

We need to find the probability that out of the given employees, a randomly chosen one is on flex time and is a man.

Favorable outcomes are 170 and total outcome is 350.

Thus the probability is given by $\frac{170}{350}$ = 0.4857≈ 0.486

5 0

3 years ago