Create a random triangle, ∆ABC. Record the lengths of two of the sides of the triangle and the measure of the included angle. In this step, you’ll attempt to copy your original triangle using only two of its sides and the included angle. Follow these steps to construct the triangle: Draw a new line segment, DE , of any length, and place it anywhere on the coordinate plane, but not on top of ∆ABC. Find and record the ratio of the length of this line segment to one of the corresponding line segments on ∆ABC that you recorded in part A. Now multiply the ratio you calculated by the length of the other side of ∆ABC that you selected in part A. Record the resulting length. Locate the endpoint on DE that corresponds with the vertex of the angle you chose in part A. Using that point as the center, draw a circle with a radius equal to the length you calculated in the previous step. From the center of the circle, draw a ray at an angle to DE . Make the angle congruent to the angle of

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6

it is impossible.