8x-7(1/2x+7)=14
solve thid

First, you would use the distributive property to multiply -7 into the parenthesis. Then you’d have 8x-3.5x-49=14 Then you add 49 to both sides to combine like terms and get 8x-3.5x=63 Next you would combine like terms on the left side by subtracting 3.5x from 8x and end up with 4.5x=63 Then to get x by itself you would divide by 4.5 on both sides and end up with X=14 being your answer.

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