Answer:
Hence, the complex fraction is equal to
[-2y + 5x]/[3x - 2y] that is,
[-2y + 5x] divided by [3x - 2y]
Step-by-step explanation:
Complete Question
Which expression is equal to the complex fraction
[-2/x + 5/y] divided by [3/y - 2/x]
We first take the LCM of each of these
[-2/x + 5/y] = [(-2y + 5x)/xy]
[3/y - 2/x] = [(3x - 2y)/xy]
[-2/x + 5/y] ÷ [3/y - 2/x] becomes
[(-2y + 5x)/xy] ÷ [(3x - 2y)/xy]
= [(-2y + 5x)/xy] × [xy/(3x - 2y)]
= [-2y + 5x]/[3x - 2y]
Hope this Helps!!
Answer:
w = 36 centimeters
y = 24 centimeters
Step-by-step explanation:
The exact question is as follows :
Given - Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL.
To find - Based on the given information, what are the values of y and w in centimeters?
Solution -
We can see that from the diagram,
Trapezoid FKLJ is 3 times bigger than Trapezoid KGHL
So,
The side KL = 3 times side GH
⇒12 = 3×4
⇒12 = 12 centimeters
So,
side FJ = 3 times side KL
⇒w = 3×12
⇒w = 36 centimeters
Now,
The side KF = 3 times side KG
⇒KF = 3×8
⇒KF = 24
Now,
We know,
In isosceles trapezoid two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length
So,
Side LJ = side KF
⇒y = 24 centimeters
∴ we get
w = 36 centimeters
y = 24 centimeters
Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
Answer:
c
Step-by-step explanation:
what you do is you find how many sides there are witch is 6 and multiply that by 6 witch would equal 36 now all you do is multiply 3x36 witch equals 108cm square
