Answer:
x = 3
Step-by-step explanation:
y = 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (3, 5) with x- coordinate 3 , thus
x = 3 ← equation of perpendicular line
Answer:-19
Step-by-step explanation:
3x+5-(2x-3)=0
3x+5-2x+3=0
x+8=0
x=-8
substitute x into 3x+5 to find the length of MO
3x+5
3(-8)+5
-24+5
-19
Answer:

Step-by-step explanation:
Given

Required
True values of x
We have:


Collect like terms


Divide both sides by 3


This means that x has a value lesser than 14.67.
Hence, the valid values are:

Answer:
<em>x=60°</em>
<em>x=48°</em>
<em>x=21°</em>
Step-by-step explanation:
<u>Inequalities</u>
The sum of the exterior and the interior angle of a triangle is 180°.
The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.
This angle is said to be at least twice x, thus:
180 - x ≥ 2x
Adding x:
180 ≥ 3x
Dividing by 3:
60 ≥ x
Swapping the inequality:
x ≤ 60°
The measure of x must be less or equal to 60°.
Three possible solutions are:
x=60°
x=48°
x=21°