Step-by-step explanation:
4x+9y=28
-4x-y=-28
8y=0
divide both side by 8
y=0
solve for X in equation 1
4(X)-9(0)=28
4x-0=28
4x =28
divide both side by 4
4x/4=28/4
X= 7
y=0,x=7
Answer:








Step-by-step explanation:
Given



Solving (a): NK
MK is a diagonal and NK is half of the diagonal. So:



Solving (b): JL
JL is a diagonal, and it is twice of NL.



Solving (c): KL
To solve for KL, we consider triangle KNL where:

and





Solving (d - h):
To do this, we consider triangle JKN
-- diagonals bisect one another at right angle
Alternate interior angles are equal. So:

Similarly:


So:







Answer:
The weighted average is of 69.94.
Step-by-step explanation:
Weighted average:
The weighed average is found multiplying each grade by its respective weight.
The grades, and weights are:
67 on the lab, with a weight of 23% = 0.23
69 on the first major test, with a weight is 21.5% = 0.215
85 on the second major test, with a weight is 21.5% = 0.215.
63 on the final exam, with a weight of 34% = 0.34.
Weighted average:

The weighted average is of 69.94.
Answer:
591 square cm
Step-by-step explanation:
25 times 23 =575
4 times 4 =16
575 plus 16=591
Answer:
x =7
Step-by-step explanation:
Solve for x:
5 x - 10 + 65 = 90
Add like terms. 65 - 10 = 55:
5 x + 55 = 90
Subtract 55 from both sides:
5 x + (55 - 55) = 90 - 55
55 - 55 = 0:
5 x = 90 - 55
90 - 55 = 35:
5 x = 35
Divide both sides of 5 x = 35 by 5:
(5 x)/5 = 35/5
5/5 = 1:
x = 35/5
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
Answer: x = 7