Answers? I know 1-6 but the last two are killing me.

1. The hypotenuse of both triangles is 10.4 cm

Angle FDE = 35°

Angle ACB = 55°

Angle CBA and DEF = 90°

Line CB and FE = 6cm

Line AB = 8.5cm

Both triangles are equal to each other, all the numbers are there, you just have to plug in the values

2. 10 feet 4 inches

Step-by-step explanation:

As for question 8, jenny's height is equal to 5.167 feet

= cross multiply, divide, and solve for H

This gives you 10.334 which is 10 feet 4 inches

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584