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kow [346]
3 years ago
10

Lorie correctly determines that for the triangles below, the statement pg and the statement both describe the relationship betwe

en the two triangles.
Which best describes why both similarity statements are correct?
Each triangle has two congruent angles: and m.
Each triangle has two similar angles: and .
The triangles each have two given angle measures and one unknown angle measure.
All statements, regardless of the order of the vertices, define the same triangles

Mathematics
2 answers:
Tasya [4]3 years ago
7 0

Answer:

The correct option is 1.

Step-by-step explanation:

Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.

In triangle MNO and triangle RTS.

\angle M\cong\angle R=54.4^{\circ}          (Given)

\angle N\cong\angle T=71.2^{\circ}            (Given)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

\angle O\cong\angle S=54.4^{\circ}

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.

The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.

DanielleElmas [232]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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Contact [7]
Let's make some variables to represent the cost of the tables and chairs.

Let x be equal to the cost of one chair
Let y be equal to the cost of one table

The total cost for 3 chairs and 2 tables is $17.

3x + 2y = 17

The total cost for 8 chairs and 4 tables is $37.

8x + 4y = 37

Now we have our system of equations.
Let's solve it.

3x + 2y = 17
8x + 4y = 37

We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.

3x(-2) + 2y(-2) = 17(-2) = 
-6x - 4y =  -34

Then add the equations together.

-6x - 4y = -34
8x + 4y = 37
        =
2x = 3

Then just divide both sides by 2.

x = 1.5

Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17

3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17      ; Multiply 3 and 1.5 together
2y = 12.5             ; Subtract 4.5 from each side of the equation
y = 6.25                ; Divide both sides by the coefficient of y. Which 2

So, a chair costs $1.50 and a table costs $6.25. 
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Please help and dont just say hope you get it​
Llana [10]

Answer:

X = 10 Y = 14

Step-by-step explanation:

Okay, so. If you divide the Y and X for example 2.8 divided by 2 is 1.4 5.6 divided by 4 is 1.4. So like it says it is proportional. So, when you get down to the eight. You can see they are adding the X by 2 so the X is 2. The Y would be 2.8. So, you would add 2.8 into 11.2. That would be 14.

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Answer:

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Step-by-step explanation:

Drag the tiles to the boxes to form correct pears. Not all tiles will be used. Match each linear equation slope and Y intercept.

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3 years ago
12n^3 + 16n^3 can someone please help me with this?
vodka [1.7K]

Answer:

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Step-by-step explanation:

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So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.

When dividing the 12 and 4, minus the n^{5} and n^{3} to get n^{2}. Get rid of the n^{3} term for the 16 and leave the 4. And there's your answer!

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