Since (AB) ̅≅(AD) ̅ (the lines beside the parentheses are to show that they are lines) we have congruent hypotenuses. (AC) ̅≅(AC) ̅ so legs are ≅ So, es; ΔACB≌ΔACD by HL. The answer is D.Yes; ΔACB≌ΔACD.
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Answer:
"A line"
Step-by-step explanation:
A line of symmetry is a line that divides an object into two congruent halves.
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However, not every line that does so is a line of symmetry. The vertical line in the attached diagram divides both figures into congruent halves. It is only a line of symmetry for the green figure.
The slope (m) for a line that passes through two points (x_1, y_1) and (x_2, y_2) can be calculated using
m = (y_2 - y_1) / (x_2 - x_1)
The points are (5,7) and (-1, 9). Substitute into the equation.
m = (7 - 9) / (5 - (-1))
= (-2) / 6 = -1/3
The slope is -1/3.
In this question, you're solving the systems of equations to find what x and y equal to.
Solve the systems of equations:
x + y = 3
x + 2y = 6
Lets make the "y" variable the same by multiplying the top equation by -2.
-2(x + y = 3)
x + 2y = 6
----------------
-2x -2y = -6
x + 2y = 6
Solve:
-x =0
x = 0
Now, we know x = 0, now plug 0 into x in one of the equations and solve:
We'll plug it into the x + y = 3 equation.
0 + y = 3
y = 3
When you're done solving, you should get:
x = 0 and y = 3
Answer:
x = 0
y = 3
