The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
<h3>Triangular altitutude theorem</h3>
According to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.
Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN
Substitute the measure of the sides
2/h = h/3
Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
Learn more on mean altitude theorem here; brainly.com/question/10216660
Step-by-step explanation:
the number of members in A municipal corporation depends upon the _______ city
Answer:
The y-intercept is (0, -6).
Step-by-step explanation:
The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.
To find the slope of line j, you would use the slope formula: 
.
- Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for
and 1 for 
. Substitute -3 for 
and 4 for 
. 
- The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.
To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).
- Point-slope form is
- Substitute 1 for , 1 for m, and 7 for .
- Simplify: y - 1 = 1(x - 7)
- Distribute 1 inside the parentheses.
- y - 1 = x - 7
- Add 1 to both sides of the equation.
- y = x - 6
The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.
- y = (0) - 6
- Subtract 0 - 6.
- y = -6
A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).
Step-by-step explanation:
1.
4:15 p.m. to 5.00 p.m. → 45min
5:00 p.m. to 10:00 p.m. → 5h
Answer: 5h 45min
2.
3:45 a.m. to 4.00 a.m. → 15min
4.00 a.m. to 12:00 p.m. → 8h
Answer: 8h 15min
3.
1:15 p.m. to 2:00 p.m. → 45min
2:00 p.m. 8:00 p.m. → 6h
8:00 p.m. to 8:11 p.m. → 11min
Answer: 6h (45 + 11)min = 6h 56min
4.
2:37 a.m. to 3:00 a.m. → 23min
3:00 a.m. to 3:15 a.m. → 15min
Answer: (23 + 15)min = 38min
5.
11:59 a.m. to 12:00 p.m. → 1min
12:00 p.m. to 1:00 p.m. → 1h
1:00 p.m. to 1:01 p.m. → 1min
Answer: 1h (1 + 1)min = 1h 2min
