Given B is between A and C, find the value of x if AB = 22, BC = 16x, and AC = 182.

Answers

Answer 1
Answer:

Answer:

10

Step-by-step explanation:

Since we know that B is between A and C, it doesn't matter where B is, but, we are sure that AB plus BC equals AC. In an equation:

AB+BC=AC

We know that AB is 22, BC is 16x, and AC is 182. Substitute:

22+16x=182

Now, find the value of x. Subtract 22 from both sides:

16x=160

Divide both sides by 16:

x=10

So, the value of x is 10.

And we're done!

Answer 2
Answer:

Answer:

x=10

Step-by-step explanation:

Start with:

AB+BC=AC

Substitute in your values.

22+16x=182

Subtract 22 from both sides of the equation.

16x=182-22

Combine like terms.

16x=160

Divide by the coefficient of x, which in this case is 16.

x=10


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Answers

Answer:

the answer is so easy.

Step-by-step explanation:

Triangle ABC has side lengths 18,24, and 30. Do the side lengths form a Pythagorean triple? Yes or No?

Answers

Answer:  Yes, the side lengths form a pythagorean triple.

Step-by-step explanation:  Given that the side lengths of triangle ABC are as follows :

AB=18,~~BC=24,~~CA=30.

We are to check whether the side lengths form a pythagorean triple or not.

For making a pythagorean triple, the side lengths must satisfy the following :

AB^2+BC^2=CA^2.

We have

AB^2=18^2=324,\n\nBC^2=24^2=576,\n\nCA^2=30^2=900.

So,

AB^2+BC^2=324+576=900=CA^2.

Thus, the side lengths will form a pythagorean triple.

yes, the equation is a^2+b^2=c^2 so if u take 18^2+24^ it equals 900 so to test that you take 30^2 which is = to 900 also so yes

Solve the problem
( SHOW your work )


10x – 3 = 8x + 5

Answers

Answer:

x =4

Step-by-step explanation:

10x – 3 = 8x + 5

Subtract 8x from each side

10x-8x – 3 = 8x-8x + 5

2x-3 =5

Add 3 to each side

2x-3+3 =5+3

2x= 8

Divide by 2

2x/2 =8/2

x =4

What is the next in the sequence 2 6 3 8 6 12

Answers

The correct answer is: 11

Explanation:
There are two series in the given sequence:

Series-1:
2 3 6 x

Where x represents the number we need to find.

Series-2:
6 8 12

The following pattern is seen in the Series-2:
6 + 2 = 8
8 + 4 = 12

Meaning the additive has the incremental increase of 2 [Like 2, 4, 6, 8 ...].

Likewise,
In Series-1, the following pattern is shown [1,3,5,7...]:
2 + 1 = 3
3 + 3 = 6
6 + 5 = 11

Hence the correct answer is 11.


11
As you can see, the pattern is subsequently +4, -3, +5, -2, +6, -1 etc.
So, according to this, next sequence should be 12-1=11

8(3x – 2) ≤ 2(7x + 12)?

Answers

Answer:

The answer is x ≤ 4                        

I am a quadrilateral with all my sides equal in length. none of my angles equals 90. what am i?

Answers

You are a rhombus. A rhombus is a quadrilateral with all sides equal in length but none of its angles are 90 degrees.

A rhombus is a four-sided polygon with all sides of equal length, making it a special type of parallelogram. Unlike a square, its angles are not right angles (90 degrees).

Rhombi have two pairs of opposite sides parallel, and their diagonals bisect each other at right angles. The rhombus's symmetry and equal side lengths create a balanced and diamond-shaped figure. It is a versatile shape found in various applications, from diamond gemstones to kite designs.

Due to its unique properties, a rhombus is commonly used in mathematics, geometry, and design. Its distinct features make it easily recognizable and distinguishable from other quadrilaterals.

To know more about rhombus:

brainly.com/question/12665650

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Rhombus. A rhombus has no right angles, but it's sides are all congruent, or equal.