Answer:
(b) 21.4
Step-by-step explanation:
There are a couple of interesting relations regarding chords and secants and tangents of a circle. With the right point of view, they can be viewed as variations of the same relation, possibly making them easier to remember.
When chords cross inside a circle (as here), each divides the other into two parts. The product of the lengths of the two parts of one chord is the same as the product of the lengths of the two parts of the other chord.
Here, that means ...
7x = 10·15
x = 150/7 = 21 3/7 ≈ 21.4
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<em>Additional comment</em>
A secant is a line that intersects a circle in two places. (A tangent is a special case of secant where the two points of intersection are the same point.) When two secants meet outside the circle, there is a special relation between the lengths of the various line segments.
Consider the line segment from the point where the secants meet each other to the far intersection point with the circle. The product of that length and the length to the near intersection point with the circle is the same for both secants.
Here's the viewpoint that merges these two relations:
<em>The product of the lengths from the point of intersection of the lines with each other to the two points of intersection with the circle is the same for each line</em>.
(Note that when the "secant" is a tangent, that product is the square of the distance from the tangent point to the point of intersection with the other line--the distance to the circle multiplied by itself.)
Answer:
The goverment collects sales taxes so they can use the moeny to pay for services like police, firemen, hospitals. They also use them to pay for building things like roads, puplic schools, puplic outdoor places, and building
Step-by-step explanation:
12 mins
60 mins per hour
we are trying to find an equivilent fraction that has 60 in the bottom
so
(5 and 1/2)/12=x/60
multiply both sides by 60
330/12=x
divide
27 and 1/2=x
she read 27.5 pages per minute
14 times 14=196
7 times 7= 49
196-49=147
The length of X is approximately 7 root 3. Or 12.12 as a decimal
Answer:
x=2.5
Step-by-step explanation:
the first thing you want to do is simplify like terms.
you could say this is as 4(x+7)=38
this can easily be solved algebraically.
first use distributive property on the four
this leaves you with 4x+28=38
next, subtract 28 from both sides
4x=10
now divide everything by four and you get x=2.5
