please help me!!! i will gladly give brainliest :)
Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?
A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.
B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.
C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.
D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.
Answers
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
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x
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Answer:
Definition of Vertical Angles state that vertically opposite angles are equal; 1=2( vertically opposite angles are equal)
Thank you. Hop I was of help.
Find the slope of the line through each pair of points (-5, -3), (19, 19)
Answers
Answer:
[tex]m = \frac{11}{12} [/tex]
Step-by-step explanation:
m= (y2-y1) / (x2-x1)
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Pleaseeeee help me anyone !!!!!!!!!!!! Will mark Brianliest answer correctly
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Answer:
x = 6√7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve the missing length.
Step 2: Identify Variables
Leg a = √27
Leg b = 15
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: (√27)² + 15² = x²Exponents: 27 + 225 = x²Add: 252 = x²Isolate x: 6√7 = xRewrite: x = 6√7PLS HELP ASAP! <3 sorry for caps
Answers
Answer:
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Step-by-step explanation:
John bought a play station game for $54.50. The tax on the game is 5%. What
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Answers
Answer:
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Answer:
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Step-by-step explanation:
$2.72 would be 5% of 54.50
The total cost would be
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that would equal
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Answers
Answer:
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Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
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se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
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35 = 2L + 3L
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Recuerda
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A = 1.5 × 7
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Answer:
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Step-by-step explanation:
OK i am glad to help.
Slope is [tex]\frac{y2-x2}{y1-x1}[/tex]
So, in the boxes, it is
[tex]\frac{225-x2}{y1-3}[/tex]
Our points are
5,225 and
3,135 so the slope should be
[tex]\frac{225-135}{5-3}[/tex]
This is the answer for the first box.
Second is
[tex]\frac{90}{2}[/tex].
Hope this helps plz hit the crown :D
Answer:
Step-by-step explanation:
225-135 = 90/2
5-3
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Note: Your expression sounds a little unclear, so I am assuming your expression is
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But, the procedure to solve the expressions involving exponents remains the same, so whatever the expression is, you may be able to get your concept clear.
In the end, I will solve both expressions.
Answer:
Please check the explanation
Step-by-step explanation:
Given the expression
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]
solving the expression
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]
[tex]\left(y+1\right)^5\left(y+1\right)^3=\left(y+1\right)^{5+3}[/tex]
[tex]=\left(y+1\right)^8[/tex]
Therefore, we conclude that:
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3=\left(y+1\right)^8[/tex]
IF YOUR EXPRESSION IS THIS
↓
[tex]\left(y\:+\:1\right)^{\left(5y+1\right)^3}[/tex]
solving the expression
as
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[tex]=125y^3+75y^2+15y+1[/tex]
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Step-by-step explanation:
Answer:
48 is a answer
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
Answer:
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Answers
Answer:
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Step-by-step explanation:
Given information:
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Answer:
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Step-by-step explanation:
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