Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find x and y
The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.
For this kind of parameter, the opposite = the adjacent
i.e. x = y
Apply Pythagoras theorem
Substitute x for y
Divide by 2
Take square root
Split
Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins: ...(i)
Total amount: ...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get
Divide both sides by 0.15.
Putting x=43 in (iii), we get
So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.
The equations y = 3x - 4 and y = 3x + 1 are linear equations
The equations have no solution
<h3>How to determine the solution of the equations?</h3>The equations are given as:
y = 3x - 4
y = 3x + 1
Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1
From the graph (see attachment), we can see that the equations do not have a point of intersection
Hence, the equations has no solution
Read more about linear equations at:
