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
Answer:345
Step-by-step explanation:
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m=-(5/4)
From left to right, (1,3) is first and then comes (5,-2). Always remember when finding slopes without equations, the rule is RISE over RUN, to the numerator and denominator, respectively.
The y value of the second coordinates becomes negative which is unlike the y value in the first coordinates, which means our slope is downward, meaning it has a negative sign in front.
In every slope, there’s a numerator, being the rise, and a denominator, being the run.
To find the rise, we must look at the y values. Starting at 3 going to -2 has a space of 5 units, making that our numerator.
To find the run, the first x value is 1 and the second is 5, making a space of 4, which is out denominator.
With these two numbers and the negative sign, we get -(5/4) as our slope.
2/3 of the entire tank = 150 gallons
2/3x = 150
x = 150 / (2/3)
x = 150 * 3/2
x = 450/2
x = 225 <== the entire tank can hold 225 gallons
Width = x cm
Length = 4x - 16
Perimeter = x + x + 4x -16 + 4x - 16
28 = 10x -32
(+ 32 to both sides)
60 = 10x
6 = x
Width = 6cm
Length = (6x4) - 16
= 8cm
