Answer:
x = 2.7
Step-by-step explanation:
The given equation is :

We need to solve it for x.
It can be rewrite as follows:

Adding 10 to both sides,

So, the value of x is equal to 2.7.
Answer:
6
Step-by-step explanation:
All you need to do is devide 300 by 50 because you know that you have 300 dolars and it is 50 dollars per person. 300/50 is 6 therefore 6 people can be at the party.
I'll focus on problem 19 and problem 22
============================================================
Problem 19
Answers:
-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
============================================================
Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
You decide if it has a pattern if it is a repeating pattern then it is a rational number decimal however if it a decimal with no pattern it is irrational