3)
AY
-2 -
1341
zero
O negative
O undefined
O positive

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

[tex]\angle ONP\cong \angle MNL[/tex]       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

[tex]\angle NOP\cong \angle NML[/tex]

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

[tex]\Delta ONP\sim \Delta MNL[/tex]        (AA postulate)

Therefore, the correct option is A.

Similar triangles may or may not be congruent.

The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.

From the question, we have:

[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles

Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent

[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]

[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]

[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]

Option (b) is incorrect because angles NOP and ONP are not corresponding angles

Options (c) and (d) are incorrect, because they prove the similarities by lines segments.

Hence, the correct option is (a).

This is so because, it proves the similarities of both triangles by using corresponding angles.

Read more about similar triangles at:

https://brainly.com/question/20502441

Answer:

[tex]p(x)=x^{2}-4x+5\\p(x)= 1^{2}-4(1)+5\\p(x)=1-4+5\\p(x)=2[/tex]

So 2 is the answer.

Hope this helps :D

Answer:

i think between a or c

Step-by-step explanation:

The sum of all the angles in a triangle is equal to 180°

Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.

now from the diagram: 90° + 2x° = 180°

Therefore x = 45

Answer:

24) 60,   25) 3

Step-by-step explanation:

d=r*t

5*12=60

24) 60

d=r*t

to find rate:

d/t=r

24/8=3

25) 3

Answer:

4

Step-by-step explanation:

2*2 answer is 4

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

Answer:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{2\\}\\\\[/tex] = 5

[tex]a_{3\\}\\\\[/tex] = 14

[tex]a_{4\\}\\\\[/tex] = 41

[tex]a_{5\\}\\\\[/tex] = 122

Step-by-step explanation:

If I've properly understood:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{n} = 3 a_{n-1}\\[/tex] - 1

so, the first 5 terms are:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{2\\}\\\\[/tex] = 3. 2 - 1 = 5

[tex]a_{3\\}\\\\[/tex] = 3. 5 - 1 = 14

[tex]a_{4\\}\\\\[/tex] = 3. 14 - 1 = 41

[tex]a_{5\\}\\\\[/tex] = 3. 41 - 1 = 122

Answer: A,C

Step-by-step explanation: They are facing each other making them interior angles

Answer:

d

Step-by-step explanation:

Answer:

50 = 2s + 3(6)

D.

Step-by-step explanation:

She brought 2 shirts = 2s

3 rings for $6 = 3(6)

The distance is 10 units

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

Answer:

77

Step-by-step explanation:

Answer:

8.28 my guy

Step-by-step explanation:

Easy, because the 'mean' is also called the 'average'.

To find the average of a list:

1). Add up all the items on the list.

then

2). Divide the sum by the number of items on the list.

For your list:

3) 5+12+4+8+7+10+12=58

4) There are 7 students so we divide, 58/7=8.28

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

Answer:

52

Step-by-step explanation:

.................................

Answer:

52

Step-by-step explanation:

its too hard to explain

Answer:

x = 0.05

x = 1.57

Step-by-step explanation:

The given equation is:

[tex]e^x-\ln 2x = 3.7[/tex]

Moving all terms to the left side:

[tex]e^x-\ln 2x - 3.7=0[/tex]

Now we define a function:

[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]

The solutions of the equation are the values of x such that y=0.

Since the function cannot be solved by algebraic methods, we use a graphing tool.

Those points where the graph crosses the x-axis are solutions of the equation.

Please refer to the graph in the figure below.

We can clearly identify there are two solutions at

x = 0.05

x = 1.57

Answer:a

Step-by-step explanation:

a

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Answer:

480,000

Step-by-step explanation:

480*1,000=480,000

Answer:

y=05x+3.5.

that's thw answers

did you mean name every flavor of pie

Answer:

I dont see a drawing???

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

There is 8 parts and its negative and its 2/8

Answer: The answer is D or 2/8

Step-by-step explanation:

Answer:

pretty sure its 60

Step-by-step explanation:

because if shushil got 15 and 15x4 is 60. then yeah

so peter got 60

Answer:

$100 per deposit

Step-by-step explanation:

Answer:

It is very simple all you have to do is take the first two points and figure how far they are apart from each other. Well from 250 to 150 is 100 so every deposit they put 100 dollars in so the answer is.

$100 dollars deposit