The answer should be the third one
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!
Third option is Right...... AngleFBY = AngleGBX because they are the only vertically opposite angles mentioned in the options..... the others are not....
Hope this helps!
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Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units