Answer:
x = 9 (see explanation)
Step-by-step explanation:
Alternate exterior angles are two angles that are congruent to each other:
1. Set the two angles equal to each other: 7x-4 = 6x+5
2. Combine like terms and solve for x: x = 9
Hope this helps!
Answer:
x = 36
Step-by-step explanation:
The angles 3x - y and 2x + y form a straight angle and are supplementary, so
3x - y + 2x + y = 180
5x = 180 ( divide both sides by 5 )
x = 36
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5y and 3x - y are vertical angles and congruent, hence
5y = 3x - y ( add y to both sides )
6y = 3x ← substitute x = 36
6y = 3 × 36 = 108 ( divide both sides by 6 )
y = 18
Answer:
1/15
Step-by-step explanation:
(2/5)/6 = 2/(5*6) = 2/30 = 1/15
<h3><u>(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.</u></h3>
This polynomial can be factored using difference of squares.
This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)
Because 1 * 1 = 1, we can use this formula to simplify this polynomial.
1 - 25y^2 = (1 + 5y)(1 - 5y)
We can use FOIL to verify this.
(1 + 5y)(1 - 5y)
1 - 5y + 5y - 25y^2
1 - 25y^2
Answer:
So far we have looked at linear systems of equations in which the lines always intersected in one, unique point. ... When we graph them, they are one line, coincident, meaning they have all points in common. This means that there are an infinite number of solutions to the system.
Step-by-step explanation:
