Which of the following best completes the proof showing that δwxz ~ δxyz? triangles wxz and xyz that share side xz with right angle xzw, wz equals 10, xz equals 5, and yz equals 2 and one half since segment xz is perpendicular to segment wy, angles wzx and xzy are both right angles and congruent. the proportion shows the corresponding sides are proportional, so the triangles are similar by the sas similarity postulate.
5 over 10 equals 5 over 2 and one half
5 over 10 equals 5 over 5
10 over 5 equals 5 over 2 and one half
10 over 5 equals 2 and one half over 5

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c