Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
Multiply both sides by 2.
Isolate the variable x.
Divide both sides by 7.
Now,
Therefore, the measure of angle KLM is 113 degrees.
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Hii I hope this helps! :)
Translation: It’s a transformation that moves every point in a figure the same distance in the same direction.
Rotation: It’s a a transformation that turns a figure about a fixed point.
Reflection: It’s a transformation that takes a shape/preimage and flips it across a line called the line of reflection to create a new shape/image.
Answer:
the equality shown is : x is greater than or equal to -3.
Answer:
-3, 1, 4 are the x-intercepts
Step-by-step explanation:
The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).
In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.
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For the given polynomial, we notice that the sum of the coefficients is zero:
1 -2 -11 +12 = 0
This means that x=1 is a zero of the polynomial, and we have found the first x-intercept point we can plot on the given number line.
Using synthetic division to find the quotient (and remainder) from division by (x-1), we see that ...
f(x) = (x -1)(x² -x -12)
We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...
f(x) = (x -1)(x -4)(x +3)
Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.
The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.
