Answer:

Step-by-step explanation:
We can use the geometric mean theorem:
The altitude on the hypotenuse is the geometric mean of the two segments it creates.
In your triangle, the two segments are MP and PO.
MP + PO = MO
MP + 3 = 15
MP = 12
Then,

Answer:

Step-by-step explanation:
-2x + 2y = -4 (times 3) -6x + 6y = -12
3x + 3y = -18 (times 2) 6x + 6y = -36
.
-6x + 6y = -12
<u>6x + 6y = -36 </u>+
12y = -48

y = -4
.
Substitute the value of y to the one of equations
-2x + 2(-4) = -4
-2x - 8 = -4
-2x = -4 + 8
-2x = 4

x = -2
Answer:
False
Step-by-step explanation:
The two factors must be negative to result in the negative sum of -35 when added.
Answer:
24.8
Step-by-step explanation:
x = √(16)^2+(19)^2= 24.8
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold