• ## Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A is 90o and segment AD is perpendicular to segment BC. Which of these could be a step to prove that BC2= AB2 + AC2? Triangle ADC is similar to triangle BAC by the SAS similarity theorem. Triangle ADB is similar to triangle CDA by the SAS similarity theorem. Triangle ADC is similar to triangle BAC by the AA similarity theorem. Triangle ADB is similar to triangle CDA by the AA similarity theorem.

Answer: Option (b) is correct. The monthly bill if we uses 50 additional minutes this month is \$ 55 Step-by-step explanation: Given: Your new cell phone plan charges \$50 per month for 400 minutes of talk time. The plan charges \$0.10 for each additional minute you talk. We have to find the monthly bill if

• ## Express answer in exact form. A regular hexagon with sides of 3″ is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle. (Hint: remember Corollary 1–the area of an equilateral triangle is 1/4 s2 √3.)

Answer: 1: 720 2: Step-by-step explanation: 1: There are 10 kids in a race so the number of ways such that they come first , second and third=10×9×8                            =720 (since the first place is occupied by any one of the ten students

• ## Find the area of the shaded region enclosed in a semicircle of diameter 8 centimeters. The length of the chord AB is 6 centimeters. Answer to 2 decimal places. (Hint: Triangle ABC is a right triangle.) put in cm^2

Let x = price for each cake and y = price of each pie in dollars. We can get two equations out of the data. One from the Friday set, the other from the Saturday set. Then, we subtract both equations. The difference would be: -20y = -160y = -160 ÷ -20y = \$8 Finally, we

• ## Find the length of DE if triangle ABC is congruent to triangle DEF. Side AB is 3x-6, side DE is x+8 and side EF is 2x+7.

Find the length of DE if triangle ABC is congruent to triangle DEF. Side AB is 3x-6, side DE is x+8 and side EF is 2x+7.