Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear.
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;
Simplify:
x = 20
Therefore, the value of x =20
The volume of a piece of the cake will be 588.75 cm³.
The complete question is attached below.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A birthday cake in the shape of the right-circular cylinder of radius 15 cm and thickness 10 cm is cut into smaller pieces.
One of the piece is shown.
Then the volume of piece of the cake will be
V = (30 / 360) x π x 15² × 10
V = 588.75 cm³
More about the geometry link is given below.
brainly.com/question/7558603
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Step-by-step explanation:
Thanks!!!!!!!
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Answer choices: E, B, F, D
Step-by-step explanation:
