Answer:
D. 68 degrees
Step-by-step explanation:
Remember, the total degree of a triangle is 180 degrees, not 360 like a rectangle.
To solve, set up an equation.
![y+(y-12)+56=180](https://tex.z-dn.net/?f=y%2B%28y-12%29%2B56%3D180)
Solve:
![2y+44=180](https://tex.z-dn.net/?f=2y%2B44%3D180)
Subtract 44 from both sides
![2y=136](https://tex.z-dn.net/?f=2y%3D136)
Divide both sides by 2
y=68
I hope this helps!
Answer:
1.) x = 14.96ft
2.) The shorter leg is 6 meters
Step-by-step explanation:
1.) a^2 + b^2 = c^2
- a and b = legs of the triangle
- c = hypotenuse the longest side
15ft^2 + x^2 = (2x +1)^2
- 225 = 2x^2 + 1 - x^2
- 225 = x^2 + 1
- 225 - 1 = x^2 +1 - 1
- √224 = √x^2
- x = 14.9662...
2.) Longer leg a = x+2, shorter leg b = x, Hyp. c= 2x-2
Equation:
Solve:
- (x+2)(x+2) + x^2 = (2x-2)(2x-2)
- x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
- -2x^2 + 12x = 0
- 2x (-x + 6) = 0
Answers:
- 2x = 0
- -x + 6 = 0
- <u>x=0 -or- x=6</u>
<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>
<u>B=6</u>
Check:
- A = x + 2: A= 6 +2 = 8
- B= 6
- C = 2x -2: C= 2(6) -2 = 10
8^2 + 6^2 = 10^2
You can also approach it this way:
28 flowers times n = 3444
so n = 123
11 x 123 = roses, 17 x 123 = tulips.
Those 2 products should add up to 3444.