Recall the property of parallelograms that tell us that the diagonals intercept producing equal segments in each of them. Then, as the diagonals intercept in the midpoint of each diagonal, then we can create the following equations and solve them one at a time (making the measure of one segment equal the value on the other half of the diagonal):
5 y - 4 = 36 then we solve here for y
add 4 to both sides
5 y = 36 + 4
5 y = 40
divide both sides by 5
y = 40 / 5
y = 8
Now the second equation:
4 x - 10 = 18
add 10 on both sides
4 x = 28
divide both sides by 4 to isolate x
x = 28 / 4
x = 7
Answer:
x=-2
Step-by-step explanation:
-6/18=x/6
simplify the -6/18 into -1/3,
-1/3=x/6
cross product,
3*x=-1*6
3x=-6
x=-6/3
x=-2
Answer:
$3
Step-by-step explanation:
The money shared by Ben and Carol was split ...
... Ben : Carol = 1 : 3
The difference of these ratio numbers is 2, and the difference in amount received is $6. Thus, each ratio unit must stand for $6/2 = $3.
... Ben received 1×$3 = $3
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<em>The Rest of the Story</em>
Carol received 3×$3 = $9. Together, Ben and Carol received $3 + 9 = $12, which is 4/5 of the total amount. Then the 1/5 of the total amount that Alice received is
... (1/5)×$12/(4/5) = (1/4)×$12 = $3.
The $15 of money was split ...
... Alice : Ben : Carol = $3 : $3 : $9
