3 and 4/9 would be the answer to this.
Answer:
about 9.4 units
Step-by-step explanation:
Distance formula:
√(x1 - x2)² + (y2 - y1)²
Coordinates:
A (4, 2)
B (9, 10)
Let's make 9 = x1
Let's make 4 = x2
Let's make 10 = y1
Let's make 2 = y2
Substitute into the distance formula:
√(x1 - x2)² + (y2 - y1)²
√(9 - 4)² + (2 - 10)²
Solve:
√(9 - 4)² + (2 - 10)²
√(5)² + (-8)²
√25 + 64
√89
≈ 9.4
Therefore, the length of AB is approximately 9.4 units.
The interior angles of a quadrilateral( 4 sided figure) add up to 360 degrees.
114 + 84 + 94 + x = 360
292 + x = 360
x = 360 - 292
x = 68 <== ur missing angle
They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
