Solution:
<u>Note that:</u>
- Area of trapezoid = Area of triangle + Area of square = 575 m²
- Area of triangle = 32.5 m²
- Area of square = s²
<u>Finding the area of the square:</u>
- 32.5 + Area of square = 575 m²
- => Area of square = 575 - 32.5
- => Area of square = 542.5
- => s² = 542.5
- => s = √542.5 ≈ 23.29
The length of the square is 23.29 meters.
2 equations: the first one is the sum of 2 unknown numbers x and y: x + y = 72. Now the difference is 25, so x - y = 25. Solve the first equation for y: y = 72 - x. Sub that into the second equation to solve for x: x - (72 - x) = 25. x - 72 + x = 25 and 2x - 72 = 25. Therefore, 2x = 97 and x = 48.5 That's the larger of the 2 numbers; since we subtracted y from x we defined x as the larger of the 2. Just for fun, plug x in to find that y = 23.5
Answer:
x = 41
Step-by-step explanation:
vertical angles are congruent , then
3x = 123 ( divide both sides by 3 )
x = 41
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