Answer:
The area of the trapezoid is 
Step-by-step explanation:
we know that
The area of a isosceles trapezoid is equal to the area of two isosceles right triangles plus the area of a rectangle
step 1
<em>Find the area of the isosceles right triangle</em>
Remember that
In a isosceles right triangle the height is equal to the base of the triangle
we have
so
The area is equal to
substitute the values
step 2
Find the area of the rectangle
The area of the rectangle is equal to
we have
-----> is the height of the trapezoid
-----> the diagonal of the rectangle
Applying the Pythagoras Theorem
The area of the rectangle is
step 3
Find the area of the trapezoid
The trigonometry ratio that we shall use to solve the question will be:
tan θ=opposite/adjacent
where:
opposite=8.9 cm
adjacent =x cm
θ=55°
plugging the values and simplifying we obtain:
tan 55=8.9/x
thus
x=8.9/tan55
x=6.23 cm~6.2 cm
Answer: A
Answer:
O No
Explanation:
Given equation: y = 13x + 12
To check if (2, 8) is a solution of the given equation.
Substitute x and y value in equation and check if it is true.
(x, y) = (2, 8)
simplify
This following statement is false and hence (2, 8) is not a solution.
Answer:
2.5
Step-by-step explanation:
22.5/9=2.5
Answer:
Let ABC = 73.6
Complement = ABD = 16.4
ABx = unknown angle
ABx + (ABx + 73.6) = 90
ABx = 16.4 / 2 = 8.2
The angles are 8.2 and (8.2 + 73.6) = 90
