Answers:
x = 72
y = 83
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Explanation:
Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.
Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.
Pentagon EFGHD has the following five interior angles
- E = x
- F = 130
- G = 170
- H = 65
- D = 103
Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.
For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.
This means,
E+F+G+H+D = 540
x+130+170+65+103 = 540
x+468 = 540
x = 72
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Now focus your attention on triangle THS
We see that the interior angles are
The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.
For any triangle, the angles always add to 180
T+H+S = 180
y+65+32 = 180
y+97 = 180
y = 180-97
y = 83
Answer:
Below in bold.
Step-by-step explanation:
Let x be George's age and y be Genemy's age.
x/y = 5/7
(x + 4)/ (y + 4) = 3/4
From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :
(x + 4)/ (1.4x + 4) = 3/4
3(1.4x + 4) = 4(x + 4)
4.2x + 12 = 4x + 16
0.2x = 16 -12 = 4
x = 4/0.2 = 20 = George's age.
So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.
Answer:
<h2>I|</h2><h2>I||</h2>
Step-by-step explanation:
Take the last number in the fraction ( the denominator ) and make a segment that long. Than, take the first number in the fraction ( the numerator ) and highlight, bolden, color, or do whatever needs to be done to make sure that the numerator's value stand out.
The link at the bottom is an example...