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
$180
Step-by-step explanation:
<em>Just calculate the perimeter.</em><em>.</em><em>.</em>
4 yards = 12 feet
<em>And add everything up-</em>
18+10+(18-10)+12+12
=60 feet
60 x 3 =<u>180</u>
<em>There you go</em>
Area=1/2 times height times base
base=2.5
area=3.75
subsitute
3.75=1/2 times height times 2.5
multiply both sides by 2 to get rid of fraction
7.5=height itmes 2.5
divide both sides by 2.5
3=height
sail is 3 meters tall
Answer:
∠AEC = 105°
Step-by-step explanation:
If two chords intersect each other in a circle then the vertical angles formed are equal.
In this question two chords AB and CD intersect each other at point E then ∠DEB and ∠AEC are vertical angles which are equal.
Therefore ∠DEB = ∠AEC
Here m∠DEB = 105°
Then m∠AEC = 105° ( by Theorem)
Therefore the correct answer is ∠AEC = 105°