Lines l and m are parallel because same-side interior angles are supplementary
From the question, we are to determine the lines we can conclude are parallel
From the given information, we have that
m ∠3 + m ∠4 = 180°
That is,
The measure of angle 3 and the measure of angle 4 are supplementary.
In the diagram,
We can observe that ∠3 and ∠4 are same-side interior angles
NOTE: If interior angles on the same side of the transversal sum to 180, then lines are parallel.
Hence,
Due to the fact that same-side interior angles are supplementary, lines l and m are parallel
Learn more on Parallel lines postulates here: brainly.com/question/9602013
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Answer:
The actual salary of usman was Rs. 3461.53
Step-by-step explanation:
Given that:
Percent increase in salary = 30%
Total salary percent would be = (100+30)% = 130%
Salary after increment = Rs. 4500
Let,
x be the actual salary before increase.
According to given statement,
130% of x = 4500

Dividing both sides by 1.3

Hence,
The actual salary of usman was Rs. 3461.53
Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:

We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:

Subtracting 1:

Dividing by -0.5:

We reach to this equation to solve:

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
-14 is the answer
Step-by-step explanation:
Since 18+(-32) is the same as 18-32, the answer would be negative. When you subtract 32 by 18, you get 14. Moreover, you have to know which side is greater. If the integer is more on the left, meaning the negative side, then your sum of 18-32 is negative.
<em>I know it's hard for people to understand me but I've tried my best to explain it to you. :)</em>
Answer:
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Step-by-step explanation:
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