Answer:X(2X-23)/(X-12)
Step-by-step explanation:
C = Chips = X
P = Pretzels
N = Nachos
First: X (number of bags of Chips)
Second: 4P=X (number of bags of pretzels)
Third: P=(P-3)N (number of bags of Nachos)
we need to simplify them and add them.
they bought:
X + 4P + (P-3)N in total
from the Nachos we can see: N= P/(P-3)
and from the Pretzels: 4P=X X=4P Therefore P=X/4
Also: N=(X/4)/((X/4)-3)
Replace:
X+ X + (X/4)/ ((X/4)-3)
2X+ 4/X/((X/4)-3) = 2X+(X/4)/((x-12)/4)
2X+X/4*4/(X-12)
2X+X/(X-12)
(2X*(X-12)+X)/(X-12)
(2X^2-24X+X)/(X-12)
X*(2X-23)/(X-12)
Answer:
-5.11
Step-by-step explanation:
as the sum of these numbers is -46 so divide -46 by how many numbers are there for eg:
if there are 5 numbers
20,30,40,50,60
so find the sum of these numbers and divide by 5
as their are 5 numbers
so in our case we have to divide -46 by 9 as there are 9 numbers so our answer is -5.11
It’s 15 because of Pythagorean theorem. 25 squared minus 10 squared is 15 squared.
Answer:
- Angle Bisector Theorem
- Sum of Adjacent Angles
- Co-interior angle property
- Additive law
Step-by-step explanation:
Note: Diagram for Question is attached
1. Angle Bisector Theorem
BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.
2. Sum of Adjacent Angles
Two adjacent angles can be added together to find the larger angle that is formed by the two angles.
3. Co-interior angle property
Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)
4. Additive law
By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.
Answer:
a) 4(x - 2) = 100
4x - 8 = 100
4x = 92
x = 23
b) 2(x - 2) = 50
2x - 4 = 50
2x = 46
x = 23
Step-by-step explanation:
When solving for x in both equations, we get the same value of x which makes that statement true.