The pie chart below shows how the annual budget for a certain company is divided by department. If the total budget is $150,000,000, what amount is budgeted for Sales, Research, and Engineering combined?
otels on beach
Ivd, biloxi, ms - G..
ogle. com
Media
nd a place to stay
uickly and easily. B...
Support
20%
75%
Editorial
59%
Research
35%
$105,000,000
х
5
?
Engineering
20%
Sales
15%
Explanation

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

It is 5.8 you add all of the up to equat 180 then solve the equation