Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
Answer:
Brother is 70.5 and sister is 64.5
Step-by-step explanation:
you will need to set up a simple equation and give out variables.
Girls age = 6-x
Brother's age= x
the you will take those 2 and add them and place them equal to 135:
6-x+x=135
6-2x+6=135+6
The 6 cancels out
2x=141
2x/2=141/2
x=70.5
The brother's age would be 70.5 then and the girl's would be 64.5
The answer is B
hope this helps
-(q + 14) = -3 + (-14)
-q - 14 = -3 -14
-q - 14 = -11
-q = +14 - 11
-q= 3