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3 years ago

Can the triangles be proven similar by AA?

Mathematics

2 answers:

vekshin13 years ago

8 0

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

Arisa [49]3 years ago

7 0

Answer:

I’d go with, B) Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles)

You might be interested in

Write an explicit formula for An, the nth term of the sequence 7, -42, 252, ....

erik [133]

Answer:

$A_n = 7(-6)^{n-1}$

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7 or 252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

$a_n = a_1(r)^{n-1}$

--> r means the constant (or common ratio) that is being multiplied.

--> $a_1$ means the first term

--> $a_n$ means the "nth" numbered term (so $a_3$ is the 3rd term, $a_{10}$ is the 10th term and so on).

--> $n-1$ is just the "n" in $a_n$ minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> $r = -6$ (Since we got -6 as the constant/common ratio).

--> $a_1 = 7$ (Since 7 is the 1st term)

This means that our formula would be --> $A_n = 7(-6)^{n-1}$

Hope you understood and have a nice day!! :D

8 0

3 years ago

I need help finding the answer!!

Whitepunk [10]

Answer:

The second option

Step-by-step explanation:

Here, we need to multiply each part of the matrix by -10.

This will give us: [ -230 380 ]

[ -170 60 ]

So, the answer is the second option.

3 0

2 years ago

Solve the proportion. 1 4 Z/20

DedPeter [7]

Answer:

1/4=z/20. This deals with adding, subtracting and finding the least common multiple. Overview; Steps; Topics Terms and topics;

6 0

3 years ago

10x-5 9x+2 is my equation and I don’t know how to solve it I really need help,someone please help me solve it.

Ostrovityanka [42]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), you must do it to both sides of the equation.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

10 -9x -5 = 9x -9x +2

x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

x -5 +5 = 2 +5

x = 7 . . . . simplify

The solution is x = 7.

_____

Additional comment

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

8 0

3 years ago

There are 5,426 people seated at tables. Each table seats 8 people.

ddd [48]

Answer:

678

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

Number of full tables= 5426/8= 678.25 so full part is 678

How many people are sitting at a table that is not full?

0.25 table= 8*0.25= 2 people are sitting at a table that is not full

5426 - 678*8= 2 people

How many tables are needed for all 5,426 people?

678+1= 679 tables

6 0

3 years ago