Answer:
x <4
Step-by-step explanation:
2x-9<-1
Add 9 to each side
2x-9+9<-1+9
2x < 8
Divide each side by 2
2x/2 < 8/2
x <4
Answer:
(x + 4)² + (y + 7)² = 4
Step-by-step explanation:
It should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.
<h3>How to illustrate the information?</h3>
When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.
Therefore, it should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.
Learn more about vertical angle on:
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Answer:
0.19512195122
Step-by-step explanation:
Step 1
<u>First situation</u>
when a ladder is leaning against a wall
Let
x-------> the distance of the bottom of the ladder from the wall
L-------> the length of the ladder
<u>Find the length of the ladder</u>
Applying the Pythagorean Theorem
------> equation 
Step 2
<u>Second situation</u>
when the ladder will be lying flat on the ground
<u>Find the length of the ladder</u>
In this situation the length of the ladder is equal to

square both sides
------> equation 
Step 3
equate equation
and equation 

therefore
<u>the answer is</u>
the length of the ladder is 
see the attached figure to better understand the problem