3 years ago

What is the value of x?

1 answer:

4 0

When two secant lines intersect each other outside a circle, the products of their segments are equal.

(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x² + 5x + 4x + 20 = x² + 12x + x + 12
9x - 13x = 12 - 20
-4x = -8
4x = 8
x = 2

You might be interested in

Please help geometry

Alja [10]

Answer:

1187.52

Step-by-step explanation:

2 π r h + 2 π r² = 2·π·7·20+2·π·7² ≈ 1187.52202

5 0

3 years ago

Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r

lbvjy [14]

Answer:

$4.51\times10^{-10}$

Step-by-step explanation:

There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board

The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board

$\frac{64 * 63 * 62 * 61 * 60 * 59 * 58 * 57}{8!} = \frac{1.78\times10^{14}}{40320} = 4426165368$ possible combination