1. statement: angles 1 and 2 are supplementary, reason: adjacent angles on a straight line are supplementary
2. reason: Vertical angles are congruent
3. reason: Parallel lines for supplementary interior angles on the same side as the transverse
4. statement:angles 1 and 5 are equal reason:If two angles are supplementary to the same angle, they are congruent
The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units
<h3>How to determine the length?</h3>
The figure is a trapezoid with the following parameters:
Area = 107.95
Base= 12
Height = 12.7
Length = x
The area of a trapezoid is:
Area = 0.5 * (Base + Length) * Height
So, we have:
0.5 * (12 + Length) * 12.7 = 107.95
Evaluate the product
(12 + Length) * 6.35 = 107.95
Divide both sides by 6.35
12 + Length = 17
Subtract 12 from both sides
Length = 5
Hence, the length of the trapezoid is 5 units
Read more about areas at:
brainly.com/question/24487155
#SPJ1
Answer:
Step-by-step explanation:
you’re given A=0.62 and B/A=0.93
you’re solving for B
substitute your A value of 0.62
B/0.62=0.93
same as B/0.62=0.93/1
now cross multiply
B= 0.62x0.93
B=0.5766
B=0.58
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
