Answer:
20 minutes
Step-by-step explanation:
Remember that

we know that
Hector has 3/4 hour to spend his homework
Convert to minutes

so
1) He wants to spend 1/3 of this time on math homework
To find out the time on math homework, multiply 45 minutes by 1/3

2) He wants to spend 10 minutes of his time on reading homework
3) He wants to spend the remaining time on science homework
The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes
Let
x ----> the time spend on his science homework

Solve for x

Answer:
You may or may not need to include the units.
A = 18x - 18
P = 6x + 6
Graph is attached below. (2, 18)
Step-by-step explanation:
Substitute the information we need, "l" and "w", into the formulas.
l is for length, 6cm.
w is for width, (3x - 3)cm.
Use the formula for area of a rectangle.
A = lw
A = (6)(3x-3)cm²
A = (18x - 18)cm² or 18x - 18
Use the formula for perimeter of a rectangle.
P = 2(l + w)
P = 2(6 + (3x - 3))cm
P = 2(3x + 3)cm
P = (6x + 6)cm or 6x + 6
Linear equations are written in the form y = mx + b, so we do not need to factor or further simplify the formulas.
To graph, first turn the "m" value into a fraction form.
8 -> 8/1
6 -> 6/1
You need two points to graph each line.
For each equation, the first point is on the y-axis at the "b" value. Then use the "m" in the equation to count the number of units up (numerator) and to the right (denominator).
The solution is (2,18)
SOLUTION
Consider the property, opposite angle of a cyclic quadrilateral are supplementary
hence

Recall that

Hnece, we have that

Then

Hence
x=17
Since

Therefore
The measure of angle NOP is 68⁰
Answer; 68⁰ (The fourth Option )