Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
Polygons - here we just have triangles - are similar if the corresponding angles are congruent and the corresponding sides are in proportion. Polygons are congruent if in addition to corresponding angles be congruent, corresponding sides are congruent
Answer:
24 years old
Step-by-step explanation:
Let Malvin's age be x.
- x / 2
- x / 2 + 5 = 5x / 10 [ By taking the L.C.M.]
- ( 5x / 10 ) * ( 1 / 3 ) = 5x / 30 [ Multiply with the reciprocal of 3 ]
- ( 5x / 30 ) * 2 = 5x / 15
Now let's solve the equation,
5x / 15 = 8
5x = 8 * 15
5x = 120
x = 120 / 5
x = 24
Therefore, Malvin is 24 years old.
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Let
x---------> the number
we know that
[9+2x]*4=4x+12
36+8x=4x+12
8x-4x=12-36
4x=-24
x=-24/4
x=-6
the answer is
-6
Answer:
number 3
Step-by-step explanation: