Answer:
Use the Pythagorean Theorem to find the diagonal:
The measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)
<h3>Is the length of a known arm in a 30 - 60 - 90 right triangle the long arm?</h3>
In accordance with geometry, the length of the <em>long</em> arm of a 30 - 60 - 90 <em>right</em> triangle is √3 / 2 times the length of the hypotenuse, the length of the <em>short</em> arm is 1 / 2 times the length of the hypotenuse and the length of the <em>long</em> arm is √3 times the length of the arm.
Thus, the measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)
To learn more on right triangles: brainly.com/question/6322314
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Solve for y:
3x = 7y + 21
~Subtract 7y to both sides
3x - 7y = 21
~Subtract 3x to both sides
-7y = 21 - 3x
~Divide -7 to both sides
y = -3 + 3/7x
~Change order
y = 3/7x - 3
Best of Luck!
Answer:
10x^2 -4x +6
Step-by-step explanation:
The area of the blue square is
2* 5x^2 = 10x^2
The area of the pink square is
2 * -2x = -4x
The area of the green square is
2 *3 = 6
Add it all together
10x^2 -4x +6
The integers are x, x + 2 and x + 4
x + x + 2 + x + 4 = 36
3x + 6 = 72
3x = 36 - 6 = 30
x = 30/3 = 10
The least numbers is 10
Therefore, the numbers are 10, 12 and 14
