sequencing of rigid motions matters . true or false ?

Answer:

−8<r≤3

Step-by-step explanation:

The final inequality of 24>−3r≥−9 is -8 <  r ≤ 3.

Given,

24>−3r≥−9

We need to solve this inequality.

We have,

< = less than

> = greater than

≤ = less than and equal

≥ - greater than and equal

If we change the sign we change the inequality.

Example:

2 > -1

Multiply -1 on both sides.

-2 < 1

We have,

24 > -3r ≥ -9

We can cancel the common factor.

3 x 8 > -3r ≥ - 3 x 3

8 > -r ≥ -3

Multiply - on all sides.

-8 < -(-r) ≤ -(-3)

-8 <  r ≤ 3

This means r values are between -8 and 3.

r = ( -8, 3]

Thus the final inequality of 24>−3r≥−9 is -8 <  r ≤ 3.

Learn more about how to solve a compound inequality here:

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Hello.

The answer is choice A. angle 1 = 118, angle 2 = 118

Explanation:

The four angles above are congruent (meaning the same) to the ones beneath.

Angles 1 and 2 are also congruent, so they will measure the same.

Lets label the angles above A, B, C, D.    B being the known angle, which is 118°. The angles beneath can be labelled E, F, G, H.

∠B ≅ ∠D

∠ABCD ≅ ∠EFGH

∠BD ≅ ∠FH

FH (or 1 and 2) equal 118.

Answer:

D

Step-by-step explanation:

Answer:

i think D but i might be wrong

Step-by-step explanation:

Answer:

x = 109

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

The lower base angle is supplementary to the upper base angle on the same side, thus

x + x - 38 = 180 , that is

2x - 38 = 180 ( add 38 to both sides )

2x = 218 ( divide both sides by 2 )

x = 109

Answer:

The smallest number is 114921 and the cube root of the result is 339

Step-by-step explanation:

The number 339 can be factored as:

339 = 3 * 113

Both factors are prime, thus to produce a perfect cube, we must multiply by each factor to the power of 2, that is:

3^2*113^2=114921

When we multiply 339 by 114921 we get 38958219, a perfect cube which cube root is 339.

Thus, the smallest number is 114921 and the cube root of the result is 339

Answer:

x is 75 degrees and y is 43 degrees

Step-by-step explanation:

Answer:

The distance between the two villages is 16.5 Km

Step-by-step explanation:

Constant Speed Motion

It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.

If v is the constant speed, the object travels a distance x in a time t, given by the equation:

x=vt

Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.

Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.

t=55 min = 55/60 hours

For the sake of precision, we won't operate the division so far. Compute the distance:

x=18 *55/60=16.5 Km

The distance between the two villages is 16.5 Km

Answer:

reflection

Step-by-step explanation:

its flipping over the y axis therefore a reflection

sorry if this is wrong :)

Answer:

3x-y

Step-by-step explanation:

Answer:

Simplifying

5x(2x + y) = 0

(2x * 5x + y * 5x) = 0

Reorder the terms:

(5xy + 10x2) = 0

(5xy + 10x2) = 0

Solving

5xy + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.

5x(y + 2x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(y + 2x)' equal to zero and attempt to solve:

Simplifying

y + 2x = 0

Reorder the terms:

2x + y = 0

Solving

2x + y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0

2x + 0 = 0 + -1y

2x = 0 + -1y

Remove the zero:

2x = -1y

Divide each side by '2'.

x = -0.5y

Simplifying

x = -0.5y

Solution

x = {0, -0.5y}

Answer:

Where is the question?

Step-by-step explanation:

Answer:

yes it would but I'm not a brainiest

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:

x + 98 + 50 = 180

Now we solve for x. Subtract 50 from both sides.

x + 98 = 130

Subtract 98 from both sides.

x = 32

So the value of x is 32.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

49,889,327.04

Step-by-step explanation:

If i helped please mark brainliest

Answer:

35 ml of 28% acidic solution and 65ml of 45% acidic solution is to be used

Step-by-step explanation:

Let the number of ml of the 45% solution be x while that of the 28% solution be y

Mathematically;

x + y = 100 ••••••(i)

Furthermore

45% of x + 28% of y = 33.95% of 100

0.45x + 0.28y = 33.95 ••••••(ii)

From i,

x = 100-y

put this into ii

0.45(100-y) + 0.28y = 33.95

45 - 0.45y + 0.28y = 33.95

45 - 33.95 = 0.45y - 0.28y

11.05 = 0.17y

y = 11.05/0.17

y = 65

Recall

x = 100 - y

x = 100 - 65

x = 35 ml

Answer:

6 = b or b = 6

Step-by-step explanation:

3.7b + 7 = 8.1b - 19.4

Subtract 3.7b from 8.1b. Add 19.4 to 7.

26.4 = 4.4b

(26.4)/(4.4) = b

6 = b or b = 6

Please mark me the brainliest!?!

Answer:

1

I got it right on a test. Hope it works for you. :)

Answer:

-7/10- (-5/3)

-7/10 +(5/3)   [two consecutive negatives make a positive]

-21+50/30=29/30 or 0.96666666666

Answer:

w=36

Step-by-step explanation:

to get the perimeter you add all sides.

w+w+2w+6+2w+6=228

6w+12=228

6w=216

w=36

length= 2(36) +6

length= 78

width= 36

If it's wrong, I apologize honestly! Answer: 91

Step-by-step explanation:

2w+6= 2(?)+6

If the perimeter is 288, then we have to find what's the closest to it. So let's try 91. 2 ×91= 182 , so it's going to be 182 +6, which equals 188. Remember if the w is 100 the w in the width is going to be 100 also, so 188 + 100= 288 glad I could help!

Answer:

what you do is 9 times what equals 27 well 3 does so you multiple 2/9 by 3/3 and get 6/27

so the answer is 6/27 :)

Answer:

about $0.13

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

1.59 divided by 12

Answer:

what  grade is this jeez

Step-by-step explanation:

idk

Answer:

When we say 'as many as' or 'no more than', we mean 'less than or equal to' which means that a could be less than b or equal to b. But, when we say 'at least', we mean 'greater than or equal to'. Here a could be greater than b or equal to b.

Answer:

No

Step-by-step explanation:

I think only a metal can replace a metal, not a non-metal replace a metal

Answer:

C is the correct answer

Answer:

677658

Step-by-step explanation:

4765

Answer:

[tex]\frac{15}{4}[/tex] = 3.75

Step-by-step explanation:

Substitute x = 8 into f(x) for corresponding value in the range, that is

f(8) = [tex]\frac{5(8)-25}{4}[/tex] = [tex]\frac{40-15}{4}[/tex] = [tex]\frac{15}{4}[/tex] = 3.75

The measure of angles  ∠1, ∠4, ∠5, ∠and 8 will be 79°. The measure of angles ∠2, ∠3, ∠6, and ∠7 will be 101°.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

We have been given that m angle ∠1 = 79°,

To determine the measure of each numbered angle.

As per the property supplementary angles,

m∠1  + m ∠2 = 180°
79° +  m ∠2 = 180°

m ∠2 = 180° - 79°

m ∠2 = 101°

If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

∠1 = ∠4 = 79°

∠2 = ∠3 = 101°

∠2 =  ∠6 = 101°

∠4 = ∠5 = 79°

∠5 = ∠8 = 79°

∠6 =  ∠7 = 101°

Thus, the measure of angles  ∠1, ∠4, ∠5, ∠and 8 will be 79°. The measure of angles ∠2, ∠3, ∠6, and ∠7 will be 101°.

Learn more about supplementary angles here:

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