Line x is the mid point of both lines
so the triangle becomes base = 19.2/2 = 9.6
hypotenuse = 24/2 = 12
using Pythagorean theorem:
x^2 = 12^2 - 9.6^
x^2 = 144 - 92.16
x^2 = 51.84
x = sqrt(51.84) = 7.2
Answer:
La respuesta a tu pregunta es: 135 sellos
Step-by-step explanation:
Datos
Agrupar de 12 en 12
Agrupar de 16 en 16
Agrupar de 18 en 18
Obtener el mcm
12 16 18 2
6 8 9 2
3 4 9 2
3 2 9 2
3 1 9 3
1 3 3
1
mcm = 2⁴ 3² = 135
Answer:
504
Step-by-step explanation:
In the attached file
Hope it helps
Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
Answer:
20% alcohol = 1 gal
10% alcohol = 9 gal
Step-by-step explanation:
Let
x = 20% alcohol
y = 10% alcohol
x + y = 10 (1)
0.20x + 0.10y = 10*0.11
0.20x + 0.10y = 1.1 (2)
From (1)
x = 10 - y
Substitute x = 10 - y into (2)
0.20x + 0.10y = 1.1
0.20(10 - y) + 0.10y = 1.1
2 - 0.20y + 0.10y = 1.1
- 0.20y + 0.10y = 1.1 - 2
-0.10y = -0.9
y = -0.9/-0.10
y = 9 gal
substitute y = 9 into (1)
x + y = 10
x + 9 = 10
x = 10 - 9
x = 1 gal
20% alcohol = 1 gal
10% alcohol = 9 gal
