1. given
2. measure angle 1 plus measure angle 2 equals 90 degrees
3. B D bisects angle A D C
4. definition of angle bisector
5. definition of congruence
6. measure angle 1 is equal to measure angle 3
7. angle 1 is congruent to angle 3
7. definition of congruence
hope that helps
Answer:
x = ±4
Step-by-step explanation:
Step 1: Write out quadratic
2x² - 5 = 27
Step 2: Add 5 to both sides
2x² = 32
Step 3: Divide both sides by 2
x² = 16
Step 4: Take the square root of both sides
x = ±4
∴ x can equal -4 or 4
Answer:
2
Step-by-step explanation:
Answer:
B) 75, 3
Step-by-step explanation:
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Answer:
-3
Step-by-step explanation:
Slope of a line is "rise over run". Pick two points on the line. For example, (0,4) and (1,1). As we move from the first point to the second, we move down 3 units and right 1 unit. So the slope is -3/1 = -3.
Here's an algebraic approach. If the two points are (x₁, y₁) and (x₂, y₂), then the slope is:
m = (y₂ − y₁) / (x₂ − x₁)
Plugging in our two points:
m = (1 − 4) / (1 − 0)
m = -3
