The measure of the exterior angle PNM will be x < 77. Then the correct option is C.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle NPO is shown.
Line ON extends through point M to form exterior angle PNM.
Angle NPO is 38 degrees.
Angle PON is 39 degrees.
Let the exterior angle PNM is x degrees and the interior angle PYO be y.
Then we have
38 + 39 + y = 180°
y = 103°
And we know that the sum of interior and exterior angle is a triangle is 180 degrees.
x + y < 180
103 + x < 180
x < 77
Then the correct option is C.
More about the triangle link is given below.
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Answer:
A. x = 11/16
Step-by-step explanation:
For the purpose here, it is convenient to rearrange the equation to f(x) -g(x) = 0. We know the root will be in the interval [0, 1] because (f-g)(0) = -3 and (f-g)(1) = +3. At each iteration, we evaluate (f-g)(x) at the midpoint of the interval to see which of the interval end points can be moved and still bracket the root.
Using the bisection method starting with the interval [0, 1] we find f(1/2)-g(1/2) < 0, so we can move the interval limits to [1/2, 1].
For the next iteration, we find f(3/4) -g(3/4) > 0, so we can move the interval limits to [1/2, 3/4].
For the third iteration, we find f(5/8) -g(5/8) < 0, so we can move the interval limits to [5/8, 3/4].
Then the root is approximately the middle of that interval:
x ≈ (5/8 +3/4)/2 = 11/16
_____
This value of x is 0.6875. The root is closer to 0.639802004233. The bisection method takes about 3 iterations for each decimal place of accuracy. Other methods can nearly double the number of accurate decimal places on each iteration.
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Let's check the dot product .
v.w = 5(4)-2(10) = 20 -20 =0
So the dot product is not 20 . And since the dot product is zero, so they are perpendicular.
And the y component of w is 10.
So correct options are first and third .
Answer:
or 2/3
Step-by-step explanation:
because two flips out of 3 all together is 2/3