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3 years ago

How many triangles can be constructed with angles measuring 25º, 25º, and 130º? A. one B.none C.more than one

Mathematics

2 answers:

uysha [10]3 years ago

5 0

Answer:

C. More than one

Step-by-step explanation:

We are given the angles of a triangle as 25°, 25° and 130°

In order for these angles to construct a triangle, the sum of the three angles must be 180°.

So, we get that,

25° + 25° + 130° = 50° + 130° = 180°

Since, the sum of the angles is 180° .

Therefore, many triangles can be drawn using the angles 25°, 25° and 130°.

Hence, option C is correct.

Dmitry_Shevchenko [17]3 years ago

3 0

The answer is A one triangle all those angles equal 180

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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

Use the following diagram and information to complete the proof.

Rashid [163]

Answer:

Given: ABCD is a rectangle.

Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.

Match each numbered statement to the correct reason to complete the proof.

PS : i will mark brainliest if they answer the question fully..

Step-by-step explanation:

Given: ABCD is a rectangle.

Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.

Match each numbered statement to the correct reason to complete the proof.

PS : i will mark brainliest if they answer the question fully..

6 0

2 years ago

What's 5-n? Is it some number less then five? Or five less than some number

mezya [45]

It's a number less than 5.

5 0

3 years ago

Brainlyyyyyyyyyyyyyy :)

Rashid [163]

Wow, that IS really BRAINLY! I’m so jealous

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3 years ago

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

Dimas [21]

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is $1.5 \times 10^8$

A number in scientific notation is given by:

$a \times 10^b$

In which $a \in [1, 10)$

To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.

In this problem, 1 AU = 150,000,000 km.

The comma has to move 8 places to the right, hence $b = 8$

Then, the measure is: $1.5 \times 10^8$

For more on scientific notation, you can check brainly.com/question/16394306

5 0

2 years ago