Answer asap which value of x makes the inequality 2(8 – x) < 4 true? a. x = –16 b. x = –9 c. x = 4 d. x = 10

First, let's ignore the answer choices and solve for a value of x ourselves.

2(8 - x) < 4

Distributive property.

16 - 2x < 4

Subtract 16 from both sides.

-2x < -12

Divide both sides by -2 (and flip the inequality sign)

x > 6

The value of x is going to be greater than 6, and so, we can observe the answer choices, and whichever value is greater than 6, is the correct answer.

In this case, there is only one answer, and that is D, x = 10.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

2.4+3.2t. you get the answer by adding the ones with variables and ones without