RS=7y+4, ST=3y+6, and RT=90

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

Answer:

33x+22

Step-by-step explanation:

The area of a rectangle is

A = l*w where l is the length and w is the width

A = 11(3x+2)

Distribute

   = 33x+22

Area of rectangle = Length * Width

⇛Area = 11(3x+2)

⇛Area = 33x + 22

The line was reflected about the line y = -x.

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This question is solved using reflection concepts.

There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.

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In this question:

From this, we have the following rule: (x,y) -> (-y,-x)

Checking the rules, it can be said that the line was reflected about the line y = -x.

A similar question can be found at https://brainly.com/question/16130908

The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'

To prove, we will look at some situations:

If we add up the two digits of 18. We get,

[tex]1 + 8 = 9[/tex]

And we multiply 18 by 2 which is greater than 1. We get,

[tex]18[/tex] × [tex]2 = 36[/tex]

The sum remains the same i.e. [tex]3 + 6 = 9[/tex]

Similarly,

If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;

[tex]18[/tex] × [tex]3 = 54[/tex]

where (5 + 4 = 9)

Once more,

Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.

 [tex]18[/tex] × [tex]4 = 72[/tex]

[tex](7 + 2 = 9)[/tex]

[tex]18[/tex] × [tex]5 = 90[/tex]

[tex](9 + 0 = 9)[/tex]

Thus, 18 is the answer.

Learn more about 'numbers' here: brainly.com/question/1624562

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

so

PQ + RS = QS

Answer:

156m^2

Step-by-step explanation:

I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36

The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.

120+36=156. The surface area of the rectangle is 156m^2

Answer:

[tex]\boxed{=2x(x^2+6y^2)}[/tex]

Step-by-step explanation:

Remember:

[tex](a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\[/tex]

Answer:

Option B

a(n) = 8 + (n-1) • 6

Answered by GAUTHMATH

Answer:

-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g

6 g + 2 = 3 g + 13 = 11 - 3 g

{g = 11/3, g = 1, g = -1/3}

{3 g = 11, g = 1, 3 g + 1 = 0}

{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}

Answer:

I think the answer is 10 hours

the 11.95 seems wrong

Step-by-step explanation:

[tex]\frac{1}{6} + \frac{1}{y} = \frac{1}{3.75}[/tex]

multiply by 22.5 y

3.75 y + 22.5 = 6y

y = 10

Answer:

≈ 0.19

Step-by-step explanation:

So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:

10/(6+10+5+1)

= 10/22

= 5/11.

So getting a yellow marble on the first try is 5/11 likeliness.

Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.

To find the probability of getting the second marble, our equation is:

9/(6+9+5+1)

= 9/21

= 3/7.

Lastly, to find the probability of getting them both consecutively, we multiply the two results.

5/11 * 3/7

= 15/77

≈ 0.19

I hope this helped! :D

Answer:

a) 3x² + 7x + 2

b) 4x² + 2x - 12

c) x² + 8x + 12

d) π (16x² + 144)

Step-by-step explanation:

a) Rectangle

A = bh

A = 3x + 1 (x + 2)

A = 3x² + 6x + 1x + 2

A = 3x² + 7x + 2

b) Parallelogram

A = bh

A = 2x + 4 (2x - 3)

A = 4x² + (-6x) + 8x + (-12)

A = 4x² + 2x - 12

c) Trapezoid

A = a + b/2 (h)

A = [(x + 3) + (x + 9)]/2 (x + 2)

A = (2x + 12)/2 (x + 2)

A = x + 6 (x + 2)

A = x² + 2x + 6x + 12

A = x² + 8x + 12

d) Circle

A = πr²

A = π (4x + 12)²

A = π (16x² + 144)

This will be you're simplest answer unless you multiple 16x² + 144 times pi (π) and round.

Answer:

x = 155º

Step-by-step explanation:

y = 25°    {Vertically opposite angles}

x + y = 180    {Co-interior angles are supplementary}

x + 25 = 180

Subtract 25 from both sides

x = 180 - 25

x = 155°

Answer:

here's the answer to your question

Answer:

D) 40

Step-by-step explanation:

To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.

Answer:

7x and 2x. 3x^2 and -7x^2.

Step-by-step explanation:

7x and 2x both have x. 3x^2 and -7x^2 both have x^2.

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

Answer:

1, 50

2, 25

5, 10

10, 5

25, 2

Answer:

Step-by-step explanation:

V  W  

1 x 50     = 50

1.5 x 33 1/3 = 50

2 x 25     = 50

2.5 x 20     = 50

3 x 16 2/3 = 50

3.5 x 14 2/7 = 50

4 x 12 1/2 = 50

4.5 x 11 1/9 = 50

5 x 10     = 50

5.5 x 9     = 50

6 x 8 1/3 = 50

6.5 x 7 2/3 = 50

7 x 7 1/7 = 50

7.5 x 6 2/3 = 50

8 x 6 1/4 = 50

8.5 x 5 8/9 = 50

9 x 5 5/9 = 50

9.5 x 5 1/4 = 50

10 x 5     = 50

10.5 x 4 3/4 = 50

11 x 4 5/9 = 50

11.5 x 4 1/3 = 50

12 x 4 1/6 = 50

12.5 x 4     = 50

13 x 3 6/7 = 50

13.5 x 3 5/7 = 50

14 x 3 4/7 = 50

Answer:

98 degrees

Step-by-step explanation:

The angles of a quadrilateral add up to 360 degrees, therefore:

(25x+1)+(25x-2)+(20x-1)+82=360

70x +80=360

70x=280

x=4

the angle at C:

25*4-2 = 98 degrees

Answer:

see below

Step-by-step explanation:

b - 4 = 3

Add 4 to each side

b - 4+4 = 3+4

b = 7

-32 = 8w

Divide by 8

-32/8 = 8w/8

-4 = w

n/7 = -4

Multiply by 7 to each side

n/7 *7 = -4*7

n = -28

Answer:

[tex]( - 11.7)[/tex]

Range 18

Step-by-step explanation:

Twice the amplitude.

Answer:

See explanation and hopefully it answers your question.

Basically because the expression has a hole at x=3.

Step-by-step explanation:

Let h(x)=( x^2-k ) / ( hx-15 )

This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.

Solving for x in that equation:

Adding 15 on both sides:

hx=15

Dividing both sides by h:

x=15/h

For it be a hole, you also must have the numerator is zero at x=15/h.

x^2-k=0 at x=15/h gives:

(15/h)^2-k=0

225/h^2-k=0

k=225/h^2

So if we wanted to evaluate the following limit:

Lim x->15/h ( x^2-k ) / ( hx-15 )

Or

Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.

We were ask to evaluate

Lim x->3 ( x^2-k ) / ( hx-15 )

Comparing the two limits h=5 and k=225/h^2=225/25=9.

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

Answer: C=10.99

Step-by-step explanation:

Answer:

5a+4a=9a

3b-7b=-4b

2ab

=9a-4b+2ab or 2ab+9a-4a

Step-by-step explanation:

Calculate liked terms

Answer:

Step-by-step explanation: you have to ask your parents for help

Answer:

b=2A/h

Step-by-step explanation:

First I throw everything else to another side with A by dividing them

(A = b)/2h

then I get

b=2A/h

Step-by-step explanation:

A = 1/2 bh

divide by 1/2

2A = bh

divide by h

2A/h = b

Answer: 109m^2

Step-by-step explanation:

(5)(8.4)/2 = 21 m^2

(4 ) (21) = 84 m^2

Base = 5^2 = 25 m^2

84 + 25 = 109 m^2