Answer:
and
Step-by-step explanation:
The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.
Given
Required
Find x
Length of DE
To find x, we need to first simplify the given equation
Multiply both sides by
Subtract 15 from both sides
Divide both sides by 10
From the attached;
Substitute 6.6 for x
Hence and
Answer:
length of segment YZ is 8 cm
Step-by-step explanation:
given data
AB = 16 cm
DA = 3 cm
AB and DA form interior angle = 45-degre
WX ≠ YZ
WX = 16 cm
to find out
length of segment YZ
solution
area of △ABD is the same as the area of △BCD
and
area of △ABD is express as
area of △ABD = AB × AD × sin(45) ÷ 2 ............1
put here value
area of △ABD = 16 × 3√2 × sin(45) ÷ 2
area of △ABD = 24
and
area of the parallelogram is
area of the parallelogram = 24 × 2
area of the parallelogram = 48
so
now we will consider here YZ = x
and Since ZY XW is isosceles trapezoid
so here we can say that
WM = ZM = (16 - x) ÷ 2 .......................2
so area of trapezoid will be
area of trapezoid = .......................3
area of trapezoid =
48 =
solve it we get
x = 8
so length of segment YZ is 8 cm
