Answer:
Chukwu's share is of $57.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Chukwu's share is x.
Abdul's share is y.
Kunle's share is z.
Chukwu, Abdul and kunle are to share $142
This means that 
Abdul gets $11.00 less than Chukwu
This means that:
$7.00 more than Kunle.
This means that:
So
How much is Chukwu's share?
We want to find x, so:
Chukwu's share is of $57.
Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
Answer:
Step-by-step explanation:
1.
The supplementary angles to ∠x are adding to 180° and are ∠HGC and ∠BGA
2.
If ∠DGE = 90° , then
∠CGD is also 90° because ∠DGE and ∠CGD are a linear pair and
∠HGC is also 90° because ∠DGE and ∠HGC are vertical angles
Answer:
90
Step-by-step explanation:
Find total marks needed for a 90.
90 x 4 = 360 marks
Then, add up the marks on the three tests.
83+91+86 = 260 marks
Finally, subtract from the 360 marks needed.
360 - 260 = 100
Thus, the student needs to score 100 marks in order to get a 90.
