In the above figure (not drawn to scale), Find ∠AEC.
2 answers:
Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.
Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
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Answer:
Step-by-step explanation:
Let , a reflection over the x-axis consists in the following operation:
If we know that and
, then the points translated over the x-axis are
and
, respectively. The most precise description of the shape is a rectangle for the following facts:
1) and
.
2) and
have the same x-component.
3) and
have the same x-component.
4) and
have the same y-component.
5) and
have the same y-component.
A representation of the shape is included below as attachment.
Option a: polynomial has 5 terms.
Option c: The constant term is 4.
Explanation:
The polynomial is
Option a: Polynomial has 5 terms
From the polynomial, we have,
1st term =
2nd term =
3rd term =
4th term =
5th term =
Hence, the polynomial has 5 terms.
Thus, Option a is the correct answer.
Option b: The leading coefficient is -2 and the degree of the polynomial is 7.
The leading coefficient is the coefficient of the variable with the largest degree.
The degree of the polynomial can be determine by the adding the powers of the variable.
degree of 1st term = =
degree of 2nd term =
degree of 3rd term =
degree of 4th term =
degree of 5th term =
Thus, from these 5 terms the highest value is 9 which is the degree of the polynomial.
The polynomial has a largest degree of 9 and the leading coefficient is -10.
Hence, Option b is not the correct answer.
Option c: The constant term is 4.
The constant term is a term in which variable will not occur.
From the polynomial , we can see that the constant term is 4.
Hence, Option c is the correct answer.
Option d: Polynomial is in decreasing degree order
The decreasing degree order is the degree in which each term is no larger than the degree of the preceding term.
From the polynomial, we have,
degree of 1st term = =
degree of 2nd term =
degree of 3rd term =
degree of 4th term =
degree of 5th term =
where the degree of the 3rd term is not less than the 4th term.
Thus, the polynomial is not in decreasing degree order.
Hence, Option d is not the correct answer.