7) 6x + 16 + = 2x + 28
2 answers:
You might be interested in
Answer:
,
,
,
Step-by-step explanation:
According to the statement, we find the following inputs:
(Due to the condition of isosceles trapezoid)
Given than longer base and shorter base are parallel to each other, we conclude that:
(By definition of complementary angles)
(Due to the condition of isosceles trapezoid)
(By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
(By theorem for 45-45-90 Right Triangle)
(By theorem for 45-45-90 Right Triangle)
If we know that and
, then we find that:
The value of MK is obtained from the following relationship:
And the value of KD is calculated from this expression:
Now by the Pythagorean Theorem we find that:
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
Lastly, the area of the isosceles trapezoid is determined by the following formula:
If we know that ,
and
, then the area of the figure is: