AEFGH is a rhombus. Given EG = 22 and FH = 20, what is the length of one side of the rhombus?
Please help :/

Answers

Answer 1

Answer:

Applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

Recall:

The diagonals of a rhombus bisect each other at right angles, thereby forming 4 right triangles.

Half of a diagonal and half of the other diagonal make up a right triangle.

Thus, given:

EG = 22 (diagonal)
FH = 20 (diagonal).

Find the length of one side using Pythagorean theorem as shown below:

$HG = \sqrt{((1)/(2)EG)^2 + ((1)/(2)FH)^2 } \n\n$

Substitute

$HG = \sqrt{((1)/(2) * 22)^2 + ((1)/(2) * 20)^2 } \n\nHG = √(11^2 + 10^2) \n\n\mathbf{HG = 14.9}$

Therefore, applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

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What values of x will make x^2 = 16 true ?

Answers

Answer:

x = 4, x = -4

Step-by-step explanation:

In order to solve this equation, we need to square-root bothsides.

$\sf{x^2=16}$

$√(x^2)=√(16)$

Simplify:

$x=4,x=-4$

Answer:

x = -4 or 4

Step-by-step explanation:

⇒ $x^2=16$

⇒ $x = √(16)$

∴ $x =$ ± 4

Therefore, x can be either 4 or -4 such that $x^2=16$ .

Thank You :)

What is the midpoint M of that line segment?

Answers

Midpoint of a Line Segment. The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values.

Answer:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Step-by-step explanation:

Please upload the line segment otherwise, you can use the equation above to solve for it.

Help me on this math pls!!!!!!!!!!!!!!!!!!!!!!!

Answers

69 degrees. because they are vertically opposite angles

Answer: 69 degrees

Step-by-step explanation:

B) Write 1.74 x 10^4 as an ordinary number.

Answers

Answer:

17400

Step-by-step explanation: i might get this wrong but just do 1.74*10^4 and it should equal 17400

Find the value of x so that lines l and m are parallel.

Answers

Final answer:

The value of x that will make the given lines parallel is 11. This is determined by setting up and solving the equation formed by setting the two given angles equal to each other.

Explanation:

In this question, you are provided with the two alternate interior angles formed by the two lines l and m that are supposedly parallel. We know that in the case of parallel lines, alternate interior angles are equal.

Therefore, for the lines l and m to be parallel, the equality 2x+22 = 4x must hold.

Let's solve this equation step by step:

Subtract 2x from both sides: 22 = 2x
Divide both sides by 2: x = 11

So, the value of x that makes lines l and m parallel is 11.

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$4x+2x+22=180\n\n6x=158\n\nx=(158)/(6)=(79)/(3)$

What is the seventh term of the sequence whose nth term is (n + 1)(n − 2)?A.) 28

B.)35

C.) 36

D.) 40

Answers

To do this, you simply substitute 7 into the equation.

[(7) + 1][(7) − 2]
BODMAS tell us that we should do the sum in the brackets before anything else.
(8)(5)
8 X 5 = 40

The seventh term is 40. The answer is D)

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