X=9 this is the answer for question 19
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that

therefore


Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem

we have


substitute




Answer:
The ratio is 10 : 1, or 10 to 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
area of rectangle=length×width
=(x²+6x+3)×(3x²+4x-2)
=3x^4+(4+18)x³+(-2+24+9)x²+(-12+12)x-6
=3x^4+22x³+31x²-6
Answer: line CD (fourth choice)
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Let's go through the choices one by one
1) Segment AB is a radius, which is not a secant line. We can rule this out.
2) line DE is a tangent line which only touches the circle at exactly one spot. We need something that cuts the circle in 2 spots for it to be a secant line. This can also be crossed off the list.
3) segment HG is a chord, which is fairly close to a secant line, but it must extend infinitely in both directions. In other words, it needs to be a line instead of a line segment. This is crossed off the list.
4) line CD is a secant line. It is a geometric line in that it goes on forever in both directions (it's not a segment, and not a ray either). Also, this line crosses the circle at 2 points, which contrasts it from a tangent line. This is the answer we want.