Juan score 7 points higher on his midterm and 53 points higher on his final than he did on his first exam. if his mean (average) score was 133 what was his score on thw first exam?

Hey there Cardenasmar,

1st test = x 
2nd test = x + 7
3rd test = x + 7 +56
Average = 133
Total = 133 x 3
         = 399
x + x + 7 + x + 7 + 56 = 399
3x + 7 + 7 + 56 = 399
3x = 399 - 56 - 7 - 7 
3x = 329
x = 329 / 3
   = 109.666666
   = 110
Thus, on the first exam he scored 110 points

Hope this helps :D

~Top

What’s the question here? what have you been learning about?

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