There are two ways to find or determine for the value of
c. In the first method, we can use addition and subtraction to isolate the
variable c from the other variables. In the second method, we can use the
transposition of variables to isolate the variable c from the other variables.
So solving for the value of c:
<span>Using 1st method: Addition and Subtraction</span>
We are given:
240 = 6 z + c
Simply subtract 6 z on both sides:
240 – 6 z = 6 z + c – 6 z
Cancelling 6 z – 6 z on the right side:
240 – 6 z = c
or
c = 240 – 6 z
<span>Using the 2nd method: Transposition</span>
240 = 6 z + c
What we are going to do here is to simply transpose the
variable 6 z from the right side to the left side of the equation so that we
are left with c alone on the right side. Always remember that when we
transpose, the symbol becomes opposite. That is:
240 + (- 6 z) = c
240 – 6 z = c
or
<span>c = 240 – 6 z</span>
The options are;
1) AB is bisected by CD
2) CD is bisected by AB
3) AE = 1/2 AB
4) EF = 1/2 ED
5) FD= EB
6) CE + EF = FD
Answer:
Options 1, 3 & 6 are correct
Step-by-step explanation:
We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.
The only line passing through point E is line CD.
Thus, we can say that line AB is bisected by pine CD. - - - (1)
Also, since E is midpoint of Line AB, it means that;
AE = EB
Thus, AE = EB = ½AB - - - (2)
Also, we are told that F is the mid-point of CD.
Thus;
CF = FD
Point E lies between C and F.
Thus;
CE + EF = CF
Since CF =FD
Thus;
CE + EF = FD - - - (3)
For the average to be 90,
(99 + 93 + x) / 3 = 90
or 192 + x = 270
or x = 270 - 192 = 78
Jim must score at least 78 in the third test.
Answer:
the value has to be 54.6 and up
Step-by-step explanation:
Vary Directly: y = k*x
Vary Inversely: y = k/x
Because x and y vary directly, our equation will look like the first one.
y = k*x
With the inputted values:
-16 = k * 4
Now, to find k, isolate the variable
k = -16/4 = -4
Your final equation will then look like this:
y = -4 * x
