X is the amount of money that each will pay
2x+(21.50*20/100) =21.50
2x+4.3=21.50
2x=17.2
x=8.6$ will pay each person
For odd function f(-x)= -f(x)
1) f(-x)= sin(-x) = -sin(x)=-f(x) sin is odd function
2) f(-x) = sin(-2x) = -sin 2x=-f(x)
3) f(-x)= (-x)³+1 = -x³ +1 (not an odd function)To be an odd function, it should be like this:if a function is (x³+1), to be odd f(-x) should be -(x³+1)=-x³-14) f(x)= x/(x²+1)
f(-x) = (-x)/((-x)²+1)= -x/(x²+1)=-f(x)
So, f(-x) gives

,
that means that f(x)= x/(x²+1) is an odd function.
5)f(x) = ∛(2x)
f(-x) = ∛(2*(-x)=∛(2x*(-1)) = ∛(2x)*∛(-1)=
- ∛(2x)= -f(x)
Answer:
The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle
The Leg Rule (or Leg geometric mean theorem) relates the length of each leg of a right triangle with the segments projected by them on the hypotenuse.
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse. Notice the triangle used with this rule. The leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse.
Answer:
diving the angle into two congruent angles
Step-by-step explanation:
bisecting an angle means dividing the angle into two equal parts
Answer:
Grandma baked 72 cakes
Step-by-step explanation:
Let x=biscuits cake baked by grandma
1/4x=chocolate
1/3x=nuts
1/4+1/3=3+4/12
=7/12x
Remaining
X-7/12x
=12-7x/12
=5/12x
1/2 of 5/12x=fruit
5/24x =fruit
Remaining
5/12x-5/24x=15
10-5/24x=15
5/24x=15
x=15÷5/24
=15*24/5
=360/5
=72
x=72 cakes
Grandma baked 72 cakes