The value of x as given in the diagram is 18
<h3>Supplementary angles </h3>
The sum of supplementary angles is 180 degrees. From the given figure;
The measure of the angle 2x and 8x are supplementary such that;
2x + 8x = 180
10x = 180
Divide both sides by 10 to have:
10x/10 = 180/10
x = 18
Hence the value of x as given in the diagram is 18
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Answer:
x = 42
Step-by-step explanation:
Collect like terms (all x together and constants together)
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168 / 4
x = 42
Answer:
<h2>x= 37</h2>
Step-by-step explanation:
This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)
According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
given (as seen from the diagram)
x, hypotenuse= ?
opposite= 12
adjacent= 35
Applying Pythagoras theorem
![hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}](https://tex.z-dn.net/?f=hyp%5E2%3D%20opp%5E2%2Badj%5E2%5C%5C%5C%5Chpy%3D%5Csqrt%7Bopp%5E2%2Badj%5E2%7D)
Substituting our given data and solving for hpy we have
![hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37](https://tex.z-dn.net/?f=hyp%3D%5Csqrt%7B12%5E2%2B35%5E2%7D%20%5C%5C%5C%5Chyp%3D%5Csqrt%7B144%2B1225%7D%5C%5C%5C%5Chyp%3D%5Csqrt%7B1369%7D%5C%5C%5C%5Chyp%3D%2037)
hence x= 37
This may or may not be right.
You know that they are a graduate, and the total number of graduates are 2610.
The amount of graduates receiving financial aid is 1879.
The probability that a graduate student is on financial aid is: 1879/2610 = 0.7199 or 72%
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.