Answer:
B. 18
Step-by-step explanation:
Given:
There are two chord in the circle.
These chords are divided in two segments.
Segments of 1 chord is 21 and 6.
Segments of 2 chord is x and 7.
Now by using Intersecting Chord Theorem which states,
"When two chords intersect each other inside a circle, the products of their segments are equal."
Hence from above theorem we can say that;

Hence the Value of x is 18.
Answer:

Step-by-step explanation:
Every integer is a rational number.
Problem 1
<h3>Answer: B. M<3 would need to double.</h3>
Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.
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Problem 2
<h3>Answer: D. none of these sides are parallel</h3>
Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.
A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.
Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.
The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.
Answer: 8 grams
Step-by-step explanation:
We have two units of mass: grams and milligrams
The prescription has 3 grams of compound with 5,000 milligrams of solution.
To know how many grams in total there are in the mixture we must convert
5000 milligrams to grams.
By definition in 1 gram there are 1000 mg.
Then we perform the following operation

Then the total amount of grams in the prescription is:
