Answer:
m<PTR = 140°
Step-by-step explanation:
First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
m<PTQ = m<RTS (vertical opposite angles are congruent)
Therefore:
x + 28 = 2x + 16
Solve for x. Combine like terms
28 - 16 = 2x - x
12 = x
x = 12
Find m<PTQ
m<PTQ = (x + 28)
plug in the value of x
m<PTQ = 12 + 28 = 40°
m<PTR + m<PTQ = 180° (supplementary angles)
m<PTR + 40° = 180° (substitution)
m<PTR = 180 - 40 (subtracting 40 from each side)
m<PTR = 140°
Answer:
This question is solved in detail below. Please refer to the attachment for better understanding of an Ellipse.
Step-by-step explanation:
In this question, there is a spelling mistake. This is vertices not verticles.
So, I have attached a diagram of an ellipse in which it is clearly mentioned where are the vertices of an ellipse.
Vertices of an Ellipse: There are two axes in any ellipse, one is called major axis and other is called minor axis. Where, minor is the shorter axis and major axis is the longer one. The places or points where major axis and minor axis ends are called the vertices of an ellipse. Please refer to the attachment for further clarification.
Equations of an ellipse in its standard form:
This is the case when major axis the longer one is on the x-axis centered at an origin.

This is the case when major axis the longer one is on the y-axis centered at an origin.
where major axis length = 2a
and minor axis length = 2b
<h3>
Answer: Choice C</h3>
The base 16 is the same as 4*4.
From there, the rule
is used to get 
Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is
which only works if the bases are both the same.
The answer is 49/9 because you can first convert the fraction into a decimal and devide 4 and 0.9 and you will get 5.4 repeating and which is 49/9
Answer: 12x-6=14x-2
We move all terms to the left:
12x-6-(14x-2)=0
We get rid of parentheses
12x-14x+2-6=0
We add all the numbers together, and all the variables
-2x-4=0
We move all terms containing x to the left, all other terms to the right
-2x=4
x=4/-2
x=-2
Step-by-step explanation: