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Vinvika [58]
2 years ago
6

Which postulate or theorem, if any, could you use to show the two triangles are congruent?

Mathematics
1 answer:
frozen [14]2 years ago
7 0

Answer:

ASA theorum

Step-by-step explanation:

we are given 1 side and 1 angle, other angle is vo of it corresponding equal angle

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3 years ago
Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
Refer to the two statements below. Which pair of words will make the statements true?
atroni [7]
They will be greater for both of these answers because 5 is a larger number than -2 and -2 is a larger number than -5 and it comes before -5 on the number line
5 0
3 years ago
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