Using the diagram below, find x.
1 answer:
The value of x is 28
Solution:
The approximate image of the question is attached below.
Given data:
The angles of the triangle are x°, (2x + 5)° and (3x + 7)°.
By triangle sum theorem,
<em>Sum of all the angles of the triangle = 180°</em>
x° + (2x + 5)° + (3x + 7)° = 180°
x° + 2x° + 5° + 3x° + 7° = 180°
6x° + 12° = 180°
Subtract 12° from both sides of the equation, we get
6x° = 168°
Divide by 6° on both sides of the equation, we get
x° = 28°
x = 28
The value of x is 28.
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The volume of a rectangular prism can be found through:
Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:
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1374.28/161.68= 8.5 inches is the height of the prism.
The volume of a rectangular prism can be found through:
Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:
Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.