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Tcecarenko [31]
3 years ago
9

Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0
<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

  • angle NOP = angle NML
  • angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

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X=29/2, 15/2
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6 0
4 years ago
A. n=55<br>b. n=25<br>c. n=5<br>d. n=3025​
Mnenie [13.5K]

Answer:

A

Step-by-step explanation:

Assuming the triangle is right, use Pythagoras' identity to find N

The square on the hypotenuse is equat to the sum of the squares on the other 2 sides.

Here the hypotenuse = 73, thus

N² + 48² = 73², that is

N² + 2304 = 5329 ( subtract 2304 from both sides )

N² = 3025 ( take the square root of both sides )

N = \sqrt{3025} = 55 → A

5 0
3 years ago
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ivann1987 [24]
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6 0
3 years ago
A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field. a rectangle with the
UkoKoshka [18]

a.  The area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

b. In scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

c. we choose our final answer to have the least significant digit of 2.

<h3>Part A) How to find the portion of the field that has crops growing?</h3>

Since the field is rectangle, the area of the field is given by A = LW where

  • L = length of field and
  • W = width of field.

Given that the field is a rectangle with the bottom labeled 2.7 × 10³ ft and the right side labeled 3.5 × 10³ feet.

The

  • length L = 2.7 × 10³ ft and
  • Width W = 3.5 × 10³ ft

Since the crops are grown on half of the field we have that the area of the crops is A' = A/2

= LW/2

= (2.7 × 10³ ft × 3.5 × 10³ ft)/2

= (9.45 × 10⁶ ft²)/2

= 4.725 × 10⁶ ft²

≅ 4.7 × 10⁶ ft² to 2 significant digits

So, the area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

<h3>Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units. </h3>

So, in scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

<h3>C) Explain how you chose the number of significant digits in the final answer.</h3>

By the rule of multiplication of number, the result of the product of two numbers cannot have more significant digits than the number with the least significant digit.

So, since the least significant digit is 2, we choose our final answer to have 2 significant digits

So, we choose our final answer to have the least significant digit of 2.

Learn more about scientific notation here:

brainly.com/question/27862246

#SPJ1

8 0
2 years ago
MaryJo decided to solve the equation 3x-2= -x-6 by entering each of the expressions into her graphing calculator. To solve the e
miss Akunina [59]
Note that the problem states that you only need to check the solution she got for x...so we don't have to worry about y in this case. (YAY)

To verify MaryJo's answer, simply solve the equation for x:

3x - 2 = -x - 6
3x (+ x) - 2 = -x (+ x) - 6
4x - 2 = -6
4x - 2 (+ 2) = -6 (+ 2)
4x = -4
4x/4 = -4/4
x = -1

Since this conforms to MaryJo's answer, she did indeed find the correct solution for x.

3 0
3 years ago
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