Answer:
<h2><u><em>
y = 70°</em></u></h2>
Step-by-step explanation:
x = 35° (opposite agles)
y = 180 - 35 - 75
y = 70
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check 35 + 75 + 70 = 180°
the answer is good
Answer:
The similarities are;
1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°
2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third
3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems
The differences are;
1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle
2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle
Step-by-step explanation:
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.
Step-by-step explanation:
it's explained in the solution
Answer:
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