I have no clue how to do any of these problems so if anyone knows any an explanation would be nice.

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

#1). The length of the whole circumference is (π · D) = 12π .

   120° is 1/3 of 360°, so arc-AB is 1/3 of the whole circumference.

#2). 60° is 1/6 of 360°.
   So arc-CD is 1/6 of the whole circumference (which is given).

#3). The circumference of the circle is (π·D) = 20π .

   70° is (70°/360°) of the whole circle, so arc-XY
   is (70/360) of the whole circumference.

#4). Sorry, I don't remember anything right now about
   angles between chords.
   I hope what I've given you so far is worth 5 points.

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In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)