Find the area shaded in yellow. plsss me !

To find the area the easyiest divide it into 2 shapes that we know the area formula for: a triangle and a rectangle

the rectangle is 5 units by 7 units
A=l*w
A=5*7
A=35

the triangle is 4 units at the base and 5 units in height
A=bh/2
A=(4)(5)/2
A=20/2
A=10

To get the total area add the 2 areas together

35+10=45

Area of the yellow shape is 45 sq units

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