What is the measure of XYZ
2 answers:
Answer:
Option C is correct.
Step-by-step explanation:
Given: a measure of Angle = 186°
To find: measure of the ∠XYZ.
We know that given measure of the angle is the angle made by the arc at the center.
⇒ reflex of m∠XOZ = 186°
Figure is attached with required construction.
We use a result which states that the angle subtended by arc at the center is double the angle subtended by it at any point on the remaining part of the angle.
XZ is Major arc.
So we have,
⇒ reflex of ∠XOZ = 2 ∠XYZ
186 = 2∠XYZ
∠XYZ = 93°
Therefore, Option C is correct.
You might be interested in
Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50
<u>Step-by-step explanation:</u>
Let x represent the original price, then
8x(1.45) < $500
x < $43.10
Increase is 0.45x
0.45($43.10)
= $19.40
Final price is Original + Increase
$43.10 + $19.40
= $62.50
Answer:
The coordinates of E are .
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
,
Lastly, we transform point C into point E by applying the same operation: ,
and
The coordinates of E are .
I'm not entirely sure what you're looking for, but here are your options. If you need a perfect square, I'd go for the 12 and 12, but I hope this helps?
