Answer:
A.105°
Step-by-step explanation:
Angle at W and V are equal and the angles at T and U are also equal
Hence taking angles at T and U...so as to calculate the value of x
5x + 15 = 3x + 21
5x - 3x = 21 - 15
2x = 6.....hence, x = 3
Then for the angle of VXU;
All angles in a triangle add up to 180°
15(3) + 3(3) + 21 = 75°...then subtract from 180°..so as to obtain angle at VXU
180 - 75 = 105°
11.70 gallons....................................
A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.
<h3>What is a number line?</h3>
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.
Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.
Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.
Learn more about the Number line:
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Given:
The graph of the system of inequalities.
To find:
The system of inequalities.
Solution:
From the given graph it is clear that the first line passes through the points (0,2) and (1,-1). So, the equation of the boundary line is:
The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.
The second line passes through the points (0,-2) and (3,0). So, the equation of the boundary line is:
The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.
Therefore, the system of inequalities contains two linear inequalities and .
