Based on the calculations, the measure of angle YUV is equal to 42°.
<h3>What is a line segment?</h3>
A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.
Based on the information given, we can deduce the following:
- O is center of circle (∠YUO = 90°)
- The measure of arc UV is 84° (∠UOV = 84°)
- OU is equal to OV and equal to radius (∠OVU = ∠OUV)
From triangle UOV, we have:
∠OUV + ∠OUV + ∠UOV = 180°
2OUV + 84 = 180
2OUV = 180 - 84
2OUV = 96
OUV = 96/2
OUV = 48°
Now, we can determine the measure of angle YUV:
∠YUV = ∠YUO - ∠OUV
∠YUV = 90 - 48
∠YUV = 42°.
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Answer:
4: 1 or 4
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.
Also sum of angles in triangle CBD is 180°.
Answer: C
Step-by-step explanation:
The answer would be C because you have to look at the two closest perfect squares that the number is in between. 47 is in between six squared (36) and seven squared (49). That is why the answer would be somewhere between six and seven.
Find the area and perimeter of the following triangle with the given vertices:
(1, 2), (8, 2) and (3, 6)
Explain your reasoning; show all your work for full credit!