Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:
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In a triangle, the three interior angles always add to 180° ⇒
third angle = 180 - 90 - 67 = 23°
Answer:
67° and 23° (to the nearest degree).
Answer:
16x+36
Step-by-step explanation:
4(4x + 9)
16x+36
Answer:
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. Therefore,
Angle XYZ + angle MYZ = 180
Angle XYZ + 115 = 180
Angle XYZ = 180 - 115 = 65 degrees
The sum of the angles in a triangle is 180 degrees. It means that
Angle XZY + angle YXZ + angle MYZ = 180
Therefore,
4k + 5 + 6k + 10 + 65 = 180
4k + 6k + 5 + 10 + 65 = 180
10k + 80 = 180
10k = 180 - 80 = 100
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10k/10 = 100/10
k = 10
