Answers matching "the combined average weight of an okapi and a llama is 450 kilograms. the average weight of 3 llamas is 190 kilograms more than the average weight of one okapi. on average, how much does an okapi weigh, and how much does a llama weigh? "

Let us say that:

x = weight of llamas

y = weight of okapi

 

From the problem, we can create the equations:

x + y = 450           --> 1

3 x = y + 190        --> 2

 

Rewriting equation 1:

x = 450 – y

 

From equation 2:

3 (450 – y) = y + 190

1350 – 3 y = y + 190

4 y = 1160

y = 290

 

From equation 1:

x = 450 – 290

x = 160

 

Therefore a llama weighs 160 kilograms while okapi weigh 290 kilograms on average.

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