Step-by-step explanation:
Let x represent the missing side length.
By Pythagoras' Theorem,
We have x² + 12² = 13².
Therefore x² = 13² - 12² = 25 and x = 5.
(x = -5 is rejected as side lengths are positive)
Answer:
no, not proportional
Step-by-step explanation:
set up a proportion and see if cross-products are equal:
8/3 = 14/6
cross-multiply:
(8)(6) ≠ (14)(3)
48 ≠ 42
Answer:
1) y = 2/3x - 2
2) y = -1/2x + 3
Step-by-step explanation:
1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = 2/3x + c
0 = 2/3(3) + c
0 = 2 + c
0 - 2 = c
- 2 = c
Therefore, the slope-intercept form for the first part is y = 2/3x - 2.
2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = -1/2x + c
1 = -1/2(4) + c
1 = -2 + c
1 + 2 = c
3 = c
Therefore, the slope-intercept form for the second part is y = -1/2x + 3.
Answer:
Step-by-step explanation:
The given figure shows a triangular pyramid having 16 units as height. The base of pyramid is triangle.
The area of a triangular pyramid is given by :
Where
b is the area of base
So, the required area is equal to 
.
Answer:
angels that are 180 degrees
Step-by-step explanation:
