Finding the equivalent angle of 
, the correct statements are given as follows:
- The Measure of the reference angle is 45.
.
.
<h3>What are equivalent angles?</h3>
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the given angle is as follows:
It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:
The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:
- The Measure of the reference angle is 45.
- .
- .
More can be learned about equivalent angles at brainly.com/question/24787111
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Answer:
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Step-by-step explanation:
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Answer:
Domain is -3
Step-by-step explanation:
Given that coordinate of a graph is (-3, -2)
We have to find out the domain.
We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.
Domain is the set of values of A which have images in B.
Use the above definition.
We have A = {-3,...} and B = {-2,....}
The mapping is from -3 to -2
Hence domain is -3
Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
The measure of ∠4 is 45°.
Solution:
Line segment VR is parallel to the line segment US.
m∠1 = 45°
∠1 and ∠4 are corresponding angles.
<em>If two lines are parallel, then the corresponding angles are congruent.</em>
m∠1 = m∠4
45° = m∠4
m∠4 = 45°
The measure of ∠4 is 45°.
