Given triangle ABC with coordinates A(−5, 4), B(−5, 1), and C(−7, 0), and its image A′B′C′ with A′(−1, 0), B′(−4, 0), and C′(−5,
UNO [17]
Answer:
y = x+5
Step-by-step explanation:
A graph can help.
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The line of reflection will pass through the midpoints of AA' and BB'.
The midpoint of AA' is ((-5, 4) +(-1, 0))/2 = (-3, 2)
The midpoint of BB' is ((-5, 1) +(-4, 0))/2 = (-4.5, 0.5)
The slope of the line through these points is ...
Δy/Δx = (2 -0.5)/(-3-(-4.5)) = 1.5/1.5 = 1
Then the y-intercept can be found from
y = x + b
2 = -3 + b
5 = b
So, the line of reflection is ...
y = x + 5
Answer:
x=19
Step-by-step explanation:
The 2 angles are inside of a right angle. We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.
3x+11+22=90
Combine like terms by adding 11 and 22
3x+33=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.
3x+33-33=90-33
3x=90-33
3x=57
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=57/3
x=57/3
<u>x=19</u>