9514 1404 393
Answer:
20.8 cm
Step-by-step explanation:
The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:
x^2 +12^2 = 24^2
x^2 = 576 -144 = 432
x = √432 ≈ 20.8 . . . cm
The other leg is about 20.8 cm.
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<em>Additional comment</em>
A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.
Answer:

Step-by-step explanation:
We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by
and the area of a trapezoid is given by
(average of the bases multiplied by the height).
Area of first triangle (larger triangle to the figure's left): 
Area of second triangle (smaller triangle to the figure's right ): 
Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): 
Area of first triangle (larger triangle to the figure's left): 
Thus, the area of the entire figure is:

<span>f(x)=-|5x|
</span><span>f(x)=-|5x| + 3</span>
Answer:
Step-by-step explanation:
It is possible to solve this problem without using algebra and equations.
One number is 7 more than the other, but they add to 25.
If you subtract the difference of 7 first, you will be left with the sum of two equal numbers.
25
−
7
=
18
18
÷
2
=
9
The one number is 9 and the other is 7 more than 9, so (9+7 = 16)
The numbers are 9 and 16.
Check: 9+16 = 25#