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sergeinik [125]
3 years ago
9

Two polygons are similar. What is the correct similarity statement?​

Mathematics
2 answers:
joja [24]3 years ago
6 0

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

wolverine [178]3 years ago
5 0

Answer:  C) CBA ≅ LMN

<u>Step-by-step explanation:</u>

Match up the congruent angles:

∠C = 35°, ∠L = 90° - 55° = 35°     --> ∠C ≡ ∠L

∠B = 90°, ∠M = 90°                     -->  ∠B ≡ ∠M

∠A = 90° - 35° = 55°, ∠N = 55°    --> ∠A ≡ ∠N

The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).

ΔABC ≅ ΔNML

ΔBCA ≅ ΔMLN

ΔCAB ≅ ΔLNM

ΔCBA ≅ ΔLMN

ΔACB ≅ ΔNLM

ΔBAC ≅ΔMNL

Any of these similarity statements can be used!

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solniwko [45]

Answer:

Bola is 8 years old.

Step-by-step explanation:

Let Bola's age be x

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Ayo's age be z

If the sum of ages of Bola, Dada and Ayo is 32 years, then;

x + y + z = 32

If they share a sum of money in ratio of their ages, then the ratio of their ages will be x : y : z

Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:

T = 400 + 400 + 800

T = N1600

Next is to get the age of Bola

\frac{age \ of \ bola}{32}* Total \ amount \ shared = Bola's \ Share

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\frac{x}{32}*1600= 400\\50x=400\\x=\frac{400}{50}\\x=8

This shows that Bola is 8 years old

3 0
3 years ago
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FinnZ [79.3K]

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Step-by-step explanation:

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Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!

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In a blueprint for a house, the scale is 1 inch = 5 feet. In the blueprint, one room
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for each inch is 5 feet, so for each 0.5 aka 1/2 inch, it would be 2.5 inches

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