Answer:
1. 90
2.60
3.30
4. 40
5. 80
6. 60
7. 30
8. 30
9. 120
Total for all triangles=180
Step-by-step explanation:
In all the problems, you have to solve for y. This can be done because the three angles are supplementary For example, in the first diagram, you have:
3y+2y+y=180
6y=180
y=30
It's fairly easy to solve from there. Just more multiplying and subtracting.
The total distance of the route is 112miles.
Step-by-step explanation:
Let us consider the total distance of the route to be 'y'.
Given that,
The distance from Boston to the passengers station = (1/3) y
The passenger got down at a station after beyond his station which is 14 miles away and the remaining route from that station is (13/24) y
So the travelled route = y - (13/24) y
= (11/24) y
The travelled route is from Boston to a station beyond 14miles of his station.
We can write the above as,
(11/24) y = (1/3) y + 14
(11/24) y - (1/3) y =14
(11y - 8y) /24 = 14
3y/24 = 14
y/8 = 14
y = 14 x 8
y = 112 miles
The total distance of the route is 112 miles
The area of square flake of gold is 
<h3><u>Solution:</u></h3>
Given that width of square flake of gold is 
millimeter
To find : Area of square flake
Since gold flake is in shape of square, we can use area of square formula
<em><u>The formula for area of square is given as:</u></em>
where "s" is the length of one side
Hence , the calculated area of flake is
15/60 simplified is 1/4 so the answer is 25%
You have to simplify each equation. You can do that by adding similar values to each other:
(the first equation)
8x²y + 7x² - 5y² + 3x - 2 + 2x²y - x² - 2y² + 3x - 4
To make it easier, arrange the values around so that similar ones are beside each other:
8x²y + 2x²y + 7x² - x² - 5y² - 2y² + 3x + 3x - 2 - 4
then add the similar values together:
8x²y + 2x²y = 10x²y
7x² - x² = 6x²
- 5y² - 2y² = -7y²
3x + 3x = 6x
(- 2)+ (- 4) = -6
and if you put them together:
10x²y + 6x² - 7y² + 6x - 6
This isn't the answer to the equation, because it's different. So repeat the process with all the other equations until you find one that is identical to the simplified version.
The answer is the second one: 8x²y + 7x² - 5y² + 3x - 2 + 2x²y - x² - 2y² - 3x - 4
