Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3
You can express it as 24 / (8-2)
Answer:
Let the price of the maths book be m and price of the novel book be n
Given that,
Total cost of the books is $54
The price of math book is $8 more than 3 times the price of novel book.
we get,
The system of equation as,

Hence the system of equation to determine the price of the maths and novel book is,