All categories

2 years ago

What is the value of x? (angle bisector problem)

Mathematics

1 answer:

VladimirAG [237]2 years ago

7 0

Answer:

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

VT/KT = VY/KY

Substitute the lengths and solve for x:

77/87.5 = 22/(x - 22)
77(x - 22) = 87.5*22
77x - 77*22 = 1925
77x = 1925 + 1694
77x = 3619
x = 3619/77
x = 47

You might be interested in

A gym instructor has a total of 60 hand weight in her studio. Some of the hand weights are 3 pound weights and the rest are 5 po

Elden [556K]

Answer:

35 5-lb weights
25 3-lb weights

Step-by-step explanation:

Let t and f represent the numbers of three- and five-pound weights. The problem statement tells us ...

f + t = 60

f - t = 10

Adding these two equations, we get ...

(f +t) +(f -t) = (60) +(10)

2f = 70 . . . . . eliminate parentheses

f = 35 . . . . . . divide by 2

She has 35 5-lb weights, and 25 3-lb weights.

8 0

3 years ago

What is 3,350,000 in scientific notation?

olganol [36]

Answer:

10^4 or 3.5

Step-by-step explanation:

5 0

3 years ago

What are the solutions to the equation x^2-8x=24

Oduvanchick [21]

$x^{2} - 8x = 24$

Transposing the equation to give zero on the RHS:
$x^{2} - 8x - 24 = 0$

Since we can't factorise it directly, we must complete the square to yield any solutions:
$x^{2} - 8x + ( \frac{8}{2})^2 - (\frac{8}{2})^2 - 24 = 0$
$(x^{2} - 8x + 16) - 16 - 24 = 0$
$(x-4)^2 - 40 = 0$
$(x-4)^2 = 40$
$x-4 = +/- \sqrt{40}$ ––> because square rooting yields a positive and negative solution.
x = 4 +/- $\sqrt{40}$
x = 4 +/- $2 \sqrt{10}$

Correct me if I'm wrong anyone.

4 0

3 years ago

I would love some help on this question!!

Aleonysh [2.5K]

Answer:

A) Fifth Period.

B) Fourth Period

C) I dont get this one. If you can explain what they mean, I will be happy to help!

Step-by-step explanation:

3 0

3 years ago

40% of the tickets sold at a school carnival were early-admission tickets. If the school sold 65 tickets in all, how many early-

kupik [55]

Answer:

Step-by-step explanation:

0.40 x 65 = 26

65 - 26 = 39

The school sold 39 early-admission tickets.

7 0

3 years ago

Read 2 more answers