Answer:
the asnwer is A
Step-by-step explanation:
Almons:walnuts:rasins=1:2:3
x=pounds of walnuts
y=pounds of almonds
z=pounds or rasins
2x=y
3x=z
subsitute
12x+9y+5z=15
12x+9(2x)+5(3x)=15
12x+18x+15x=15
45x=15
divide by 45
x=1/3
so
1/3 pound of walnuts
2x=y
2(1/3)=y=2/3
2/3 pounds of almonds
3x=z
3(1/3)=z
1=z
1 pound of rasins
1/3 pound walnuts
2/3 pound almonds
1 pound rasins
Answer:
<em>0.5 < x < 15.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
C. JM because that line is the height of the triangle
