Answer:
x = 67
Step-by-step explanation:
If the measure of the entire chord is 166°, then if you add the two angles that form it together, it will equal 166.
So,
x + 15 + x + 17 = 166
Simplify.
2x + 32 = 166
Subtract 32 from both sides.
2x = 134
Divide both sides by 2.
x = 67
I hope this helps! Feel free to ask any questions!
Answer:
the second one
Step-by-step explanation:
when you multiply 2 negative numbers they turn into a positive
15/-5=-3
The equations for the horizontal and vertical lines passing through the point (6,9) is y = 9 and x = 6 respectively
<u>Solution:</u>
Given, point is (6, 9)
We have to find the equations for horizontal and vertical lines passing through above given point.
Now, let us find horizontal line,
We know that, horizontal line is parallel to x – axis, so slope of our required line is 0.
The point slope form is given as 
Then, line equation in point slope form ⇒ y – 9 = 0(x – 6)
⇒ y – 9 = 0
⇒ y = 9
Now, let us find vertical line,
We know that, vertical line is parallel to y – axis, so slope of our required line is undefined 
Then, line equation in point slope form ⇒ 
⇒ x – 6 = 0(y – 9)
⇒ x – 6 = 0
⇒ x = 6
Hence, the horizontal line equation is y = 9 and vertical line equation is x = 6.
Answer:
<h3>23.5"</h3>
Step-by-step explanation:
Please see attached a sketch of the television
the size of a television is described by the length of its diagonal in inches.
in this case, the diagonal of the television is 48"
we are told that the aspect ratio is 16:9
hence the dimension of the television as seen from the draft is
length= 16x
height=9x
Applying Pythagoras theorem
(16x)^2+(9x)^2= 48^2
256x^2+81x^2=2304
337x^2=2304
divide both sides by 337 we have
x^2=2304/337
x^2=6.8367
x=√6.8367
x=2.6
What is the height
H=9x
=9(2.6)
=23.5"