Answer:
Step-by-step explanation:
A triangle is isosceles if it has two equal sides and two equal angles.
From the diagram, the two perpendicular bisectors divides each base angle into 2 equal parts.
Since the 2 lines of the the perpendicular bisectors cuts across the midpoint of the triangle, it divides both lines JL and LK equally.
This means that lines JL and LK are equal.
Triangle JLK has 3 sides, JL, LK and JK.
Since lines JL and LK are equal, then
Triangle JLK is isosceles since it has two equal sides and 2 equal angles
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
we know that
To find out the function f(x+1) exchange the variable x for (x+1) in the function f(x)
so
therefore
using a graphing tool
see the attached figure
Answer:
(-1 (3 y + 17))/2
Step-by-step explanation:
Simplify the following:
y/4 - (1 + 3/4) y - 12 + 1/2 + 1 + 2
Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:
y/4 - 4/4 + 3/4 y - 12 + 1/2 + 1 + 2
4/4 + 3/4 = (4 + 3)/4:
y/4 - (4 + 3)/4 y - 12 + 1/2 + 1 + 2
4 + 3 = 7:
y/4 - 7 y/4 - 12 + 1/2 + 1 + 2
Put each term in y/4 - (7 y)/4 - 12 + 1/2 + 1 + 2 over the common denominator 4: y/4 - (7 y)/4 - 12 + 1/2 + 1 + 2 = y/4 - (7 y)/4 - 48/4 + 2/4 + 4/4 + 8/4:
y/4 - (7 y)/4 - 48/4 + 2/4 + 4/4 + 8/4
y/4 - (7 y)/4 - 48/4 + 2/4 + 4/4 + 8/4 = (y - 7 y - 48 + 2 + 4 + 8)/4:
(y - 7 y - 48 + 2 + 4 + 8)/4
Grouping like terms, y - 7 y - 48 + 2 + 4 + 8 = (y - 7 y) + (4 + 2 + 8 - 48):
((y - 7 y) + (4 + 2 + 8 - 48))/4
y - 7 y = -6 y:
(-6 y + (4 + 2 + 8 - 48))/4
4 + 2 + 8 - 48 = -34:
(-34 - 6 y)/4
Factor -2 out of -6 y - 34:
(-2 (3 y + 17))/4
The gcd of -2 and 4 is 2, so (-2 (3 y + 17))/4 = ((2 (-1)) (3 y + 17))/(2×2) = 2/2×(-(3 y + 17))/2 = (-(3 y + 17))/2:
Answer: (-1 (3 y + 17))/2
Answer:
e ≥ 2w
Step-by-step explanation:
To make this easier, let us consider the case of Eliza being exactly twice as old as wendy
that would mean that twice the age of Wendy is the age of Eliza
e = 2w
but since she is AT LEAST twice as old as her, the age of eliza can be greater than twice of wendy and it might be equal to twice the age of Wendy
Hence, the symbol '=' will be replaced by '≥'
Hence, the correct relation is
e ≥ 2w
