Hi there!
If KLM is an isosceles triangle, then KM = LM.
4d - 13 = 12 - d
Solve for d. Add 'd' to both sides:
5d - 13 = 12
Add 13 to both sides:
5d = 25
Divide both sides by 5:
<u>d = 5 units.</u>
Answer:
0.66 gal.
Step-by-step explanation:
The following should apply:
C1 * V1 = C2 * V2
we have that C1 is 0.1, that C2 is 0.3 and that V1 is equal to 2 gal
replacing the values we have that:
0.1 * 2 = 0.3 * V2
reorganizing the equation we have:
V2 = 0.1 * 2 / 0.3 solving this remains 0.66.
It means that the amount of solution 2 is 0.66 gal.
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
Answer:
x=1; y=2; z=3
Step-by-step explanation:
Rearrange for convince:
2y-4z+6x = -2
-4y+2z-3x=-5
-6y+3z+4x=1
Now we take to pairs and eliminate the same var.:
2y-4z+6x = -2 *2
-4y+2z-3x=-5
and
-4y+2z-3x=-5 *-3
-6y+3z+4x=1. *2
We get:
4y-8z+12y=-4
-4y+2z-3x=-5
= -6z+9x=-9
and
12y-6x+9x=15
-12y+6x+8x=2
= 17x=17
We now know x = 1, so z is:
-6z+9=-9
-6z=-18
z=3
Let’s grab the first formula and find y:
6+2y-12=-2
6+2y=10
2y=4
y = 2
