Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
1 answer:
Answer:
9.93
Step-by-step explanation:
Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.
From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):
(15+y)(10) = 17^2
Solving for y we get:
Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:
5 * 13.9 = 7 * x
Now solving, we get:
Thus x = 9.93
last answer choice is right.
You might be interested in
Use o fato de que o determinante de qualquer matriz quadrada é o mesmo da sua transposta.
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where
is the base length and
is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where
and
are bases of the trapezoid,
is the length of the height of the trapezoid and
is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height (
).
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer: