Answer:
Option (2).
Step-by-step explanation:
This question is incomplete; here is the complete question and find the figure attached.
In the diagram of a circle O, what is the measure of ∠ABC?
27°
54°
108°
120°
m(minor arc 
) = 126°
m(major arc ) = 234°
By the intersecting tangents theorem,
If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.
m∠ABC = ![\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%20%7Bmajor%20arc%7BAC%7D%29%7D-m%28%5Ctext%7Bminor%20arc%7D%20%7BAC%7D%29%5D)
= 
= 54°
Therefore, Option (2) will be the answer.
Let's build the equation counting how many x's and 1's are there on each side.
On the left hand side we have 5x's and 8 1's, for a total of 
On the left hand side we have 3x's and 10 1's, for a total of 
So, the equation we want to solve is
Subtract 3x from both sides:
Subtract 8 from both sides:
Divide both sides by 2:
Answer:
y=70°
z= 60°
w= 70°
Step-by-step explanation:
Since the two triangles are similar, we know that all of the corresponding angles must be the same. On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°. This means that the same angle is formed at Z, which is in the same location on the triangle to the right. From there, we can find the missing angle, W, from the difference of 180°.
180°-50°-60°=70°.
The same way we found Z, we can also find Y, since it has to be the same as W.
Answer: finding slope (-4, 1), (1,-2) : m= -3/5
Given that Jordan has a new puppy and she wants to put a fence around part of her yard to cover an area of 200 square feet.
Now we have to find what dimensions (length x width) should she make the rectangular area. None of the length or width are given so there can be lots of answers.
Since area is rectangular and we know that rectangle has different value of length and width so we just need to find two factors of given area 200 square feet.
For example 20 times 10 is 200.
So the dimension of the rectangular area will be:
Length = 20 feet and width = 10 feet
Now perimeter of the rectangle is given by formula:
Perimeter = 2(length+width) = 2(20+10)=2(30)=60
Hence perimeter is 60 feet.
