Answer: 'X' = 24 degrees
Step-by-step explanation:
5 times 'X' = 120 degrees (because the formula is base times height divided by 2).
120 divided by 5 = 'X'
= 24
'X' = 24 degrees
Using the elimination method, the value of x in the system of equations is calculated as: 8.
<h3>How to Solve a System of Equations by Elimination?</h3>
To solve a system of equations given using the elimination method, do the following:
Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:
4x - 10y = 2 --> eqn. 1
-15x + 10y = -90 --> eqn. 2
Add
-11x = -88
Divide both sides by -11
x = 8
Learn more about system of equations on:
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To invert just flip the two numbers. So the inverse of 2,5 would be 5,2, and the inverse of 9,-1 would be -1,9, and so on.
Here, just substitute the value of n = 7
an = -6(n-1)
an = -6(7-1)
an = -6(6)
an = -36
In short, Your Final Answer would be -36
Hope this helps!
Answer: Andy has 41 books
Erica has 82 books
Clay has 56 books
Step-by-step explanation:
Let x represent the number of books that Andy has.
Let y represent the number of books that Erica has.
Let z represent the number of books that Clay has.
Andy, Erica, and Clay have a collection of books totaling 179 books. This means that
x + y + z = 179 - - - - - - - - -1
Erica has twice as many books as Andy. It means that
y = 2x
Andy has 15 fewer books than Clay. It means that
x = z - 15
z = x + 15
Substituting y = 2x and z = x + 15 into equation 1, it becomes
x + 2y + x + 15 = 179
4x = 179 - 15 = 164
x = 164/4 = 41
y = 2x = 2×41 = 82
z = x + 15 = 41 + 15 = 56