If the sides of the frame that form a right angle are a = 15in. and b = 8 in., what measurement (the hypotenuse) should the fram
1 answer:
Answer:
17 in.
Step-by-step explanation:
We know that the two sides (other than the hypotenuse) are given as
a = 15 in
b = 8 in
Using Pythagorean Theorem, we can calculate the length of the hypotenuse as
Taking square-root on both sides, we get
c = 17 in.
Hence, the frame-maker would read the measurement as 17 in on the yardstick.
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Answer:
The lines L1 and L2 neither parallel nor perpendicular
Step-by-step explanation:
* Lets revise how to find a slope of a line
- If a line passes through points (x1 , y1) and (x2 , y2), then the slope
of the line is
- Parallel lines have same slopes
- Perpendicular lines have additive, multiplicative slopes
( the product of their slopes is -1)
* Lets solve the problem
∵ L1 passes through the point (1 , 10) and (-1 , 7)
- Let (1 , 10) is (x1 , y1) and (-1 , 7) is (x2 , y2)
∴ x1 = 1 , x2 = -1 and y1 = 10 , y2 = 7
∴ The slope of L1 is
∵ L2 passes through the point (0 , 3) and (1 , 5)
- Let (0 , 3) is (x1 , y1) and (1 , 5) is (x2 , y2)
∴ x1 = 0 , x2 = 1 and y1 = 3 , y2 = 5
∴ The slope of L2 is
∵ m1 = 3/2 and m2 = 2
- The two lines have different slopes and their product not equal -1
∴ The lines L1 and L2 neither parallel nor perpendicular