1) The product of 2 positive consecutive integers is 12. Find the integers.
1 answer:
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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.
Answer:
<h2>C . 7 units</h2>Step-by-step explanation:
The question is lacking appropriate diagram. Find the diagram to the question attached.
From the diagram, it can be seen that AD = AB+BC+CD
Given the following
AD = 23units
AB = 4units
CD = 12units
To get C=BC, we will substitute the given segments into the expression above as shown;
23 = 4+BC+12
23 = BC + 4 + 12
23 = BC+16
Subtract 16 from both sides
23-16 = BC+16-16
7 = BC
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<em>Hence the length of segment BC is 7units.</em>
