Ok, i really dont understand this one XD (you'll have to zoom in to see the question I'm sorry)
1 answer:
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Answer:
x=26°
Step-by-step explanation:
3x-14+x+90=180
4x-14=90
4x=104
x=104/4
x=26°
9514 1404 393
Answer:
- area 36 ft²
- perimeter 30 ft
Step-by-step explanation:
The area can be decomposed into a rectangle and a trapezoid.
The rectangle is 2' by 5', so has area ...
A = LW
A = (5 ft)(2 ft) = 10 ft²
The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²
Then the total area of the figure is ...
total area = 10 ft² +26 ft² = 36 ft²
__
The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...
c = √(a² +b²) = √(3² +4²) = √25 = 5
The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...
P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet
The perimeter of the figure is 30 feet.
