MATHEMATICS HIGH SCHOOL

Which of the following describes a rigid motion transformation?A. enlarging a photo
B. spinning a spinner
C. filling a tire with air
D. slicing a log into sections

Answers

Answer 1
Answer: Rigid motion transformation is also called isometry and is a term that describes moving the plane such that the relative position of the points and the distance between them stays the same.There are four types of rigid motion: translation, rotation, reflection and glide reflection. B. Spinning a spinner is a rigid motion, because all point of the spinner stay at the same point and the distance between is the same regardless the spinning.
Answer 2
Answer:

Answer:

The answer is spinning a spinner

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Simplify the expression x2/5^10

A. X^1/5
B. X^1/4
C. X^4
D. X^5

Answers

Answer:

324 minutes

Step-by-step explanation:

I’m on a timer I need help with this ASAP!!!!!!!!!!

Answers

I think 186 is the answer I believe sorry if wrong

The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.Write an equation that would allow you to solve for the value of x.

Solve for the value of x

Answers

You know that all the angles are going to add up to equal 360 degrees. So x+2x+3x+(did you mean 4x?)=360

Assuming you meant 4x on the last part, that simplifies to 10x=360
So x=36

X^2+6x=13

What Is The Result After Completing The Square ?

Answers

x^2 + 6x = 13
x^2 + 6x + 9 = 13 + 9
(x + 3)^2 = 22
x + 3 = (+,-) sq rt 22
x = -3 + (sq rt 22) and x = -3 - (sq rt 22)

Name a number that is a rational number, but not an integer.
Justify your response.

Answers


3.1416 is a rational number.

It can be written as       31,416 / 10,000 .

Since you can write it as a fraction with whole numbers, it's rational. 
That's actually the definition of a rational number.
 
==> ANY number that you can write down completely
using digits is a rational number !
2.5 because rational numbers can be written as fractions, but integers written as fractions have to be able to be written over 1. For example 3 is an integer because 3 = 3/1. But 2.5 isn't an integer because 2.5 = 5/2.

Please help me. Attached is a picture of a triangle. I need to find the length of X through the Pythagorean theorem. Can you explain how to do this? I need to do numbers 30-32. But if you can just do one that would help greatly!

Answers


First, let's make sure you know what Pythagoras said.
It's very important, mainly because it's so useful:

       In any RIGHT triangle, the square of the longest side
       is the sum of the squares of the other two sides.

Now let's look at #30:

This is two right triangles back-to-back.

'x' is the longest side of the one on the left, but we can't
   solve for 'x' yet because we only know one of the other sides.

But look at the right triangle on the right side.  We know the
longest side, and the vertical one, so we can find the base of it.

           (longest side)² = (one short side)² + (the other short side)²

                  (15)²          =  (9)²   +   (the base)²

Subtract (9)² from each side:

                   (The base)² = (15)²  -  (9)²

                   (The base)² = 225 - 81  =  144

                   The base  =  √144  =  12 .

Do you see where we are now ?
The base of the right half is  12, 
   so the base of the left half is  (25 - 12) = 13 .

Pythagoras again, on the left half:

                               x²  =  (13)² + (9)²

                               x²  =  169  +  81  =  250

                               x = √250 = (√25)·(√10) = 5 √10 .
________________________________

#31:

Again, two right triangles back to back.
You know two sides in each one.
So you can find the base of each one, then add the bases to get 'x'.

Left half:     (Base)²  =  (10)² - (6)²
                   (Base)²  =  100  -  36  =  64
                    Base  =  √64    <== you know what that is

Right half:    (Base)²  =  (7)² - (6)²
                    (Base)²  =  49   - 36 = 13
                     Base     = √13

       x = sum of the two bases = √64 + √13 .
_________________________________

#32: 
Two right triangles again.
Not back to back.

Right half:      (Missing leg)²  =  (7)² - (2)²
                      (Missing leg)²  =  49 - 4 = 45
                       Missing leg    = √45 = (√9)·(√5) = 3 √5 .

Left half:  The longest side is  3√5 .

                x²  +  (5)²  =  (3√5)²

I'm sure you got the idea by now.
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