Where R is the median between Q and L:
From my understanding of a triangle's centroid, it divides an angle bisector into parts of 2/3 and 1/3. In the given problem, these divisions are NS and SR. Therefore, twice SR would be equal to NS. From here, we can get the value of X, to solve for SR.
NS = 2SR
(x + 10) = 2(x + 3)
x + 10 = 2x + 6
x = 4
Therefore, SR = (x + 3) = 7
You have to cut 15 pounds into 3.75 four times
Answer: He should have used 13 instead of 13i
Step-by-step explanation:
Given:
Area of sample board: 1/3 square ft.
Weight of sample board: 1/5 lbs
We need to get the weight of the whole square foot.
1/3 square foot is only a part of the whole square foot. Its corresponding weight is 1/5 pounds. We need to divide the area by its corresponding weight to get the total weight per square foot.
1/3 ÷ 1/5
Rules of dividing fractions:
1st fraction: 1/3 ; 2nd fraction: 1/5
1) Get the reciprocal of the 2nd fraction. 1/5 ⇒ 5/1
2) Multiply 1st fraction to the reciprocal of the 2nd fraction
1/3 * 5/1 = 5/3
3) Simplify fraction.
5/3 is an improper fraction. To simplify it, it needs to become a mixed fraction.
5/3 = 1 2/3 pounds.
X + y = 62
x - y = 12
Move x over so y is alone in one of the above equations,
y = 62-x
Now substitte in y
x-(62-x) = 12
x - 62 + x = 12
2x = 12 + 62
2x/2 = 74/2
x = 37
Now for y sub in the x!
x + y = 62
(37) + y = 62
y = 62 - 37
y = 25.
So 25 + 37 =62
and 37 - 25 = 12
Method 2 :
Start by stacking the 2 original equations from above,
x+y=62
x-y=12
You want to "cancel" out one of the variable so,
x+y=62
+ + = +
x - y =12
So then you add,
2x = 74
2x / 2 = 74 / 2
x = 37.
Now you can once again sub it back into the original equation to solve for y,
x+y=62
(37)+y=62
y=62-37
y=25
Hope this helps!
