Which of the following transformations is the only one that can change the lengths of its sides but remain similar??
A) Translation
B) Rotation
C) Reflection
D) Dilation ​

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Step-by-step explanation:

7question.

it's the first answer y=x-10/3

8th question

it's also first answer y=x-9/2

Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

Answer

p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think

Step-by-step explanation:

Answer:

you can count by groups of 9 and there would be 4 groups

9 + 9 + 9 +9 = 36 and 36/9 = 4

Answer:

he made 11 dollars

Step-by-step explanation:

the number that is touching the h is how much he is making in a hour.

Answer:

1/ x +8

*The 1 over x + 8

Answer:

[tex]\frac{1}{x+8}[/tex]

Step-by-step explanation:

Here is your original equation:

What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):

[tex]x^{2} +3x-40[/tex]

Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.

Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)

We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.

[tex]x^{2} +3x-40 = (x+)(x-)[/tex]

Next, let's look at the factors of 40:

1 and 40   2 and 20   4 and 10   5 and 8

Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!

In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].

Now let's go back to our original equation and substitute our old expression with the new one:

Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].

Therefore, your simplified answer is  [tex]\frac{1}{x+8}[/tex] !

Here's the whole process:

[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]

To check your answer, confirm your expressions using the box method attached.

I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

Answer:

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

Step-by-step explanation:

We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]

First converting mixed fractions into improper fractions

[tex]\frac{7}{3} \times \frac{21}{5}[/tex]

Since 21 is divisible by 3 so, simplifying and multiplying

[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

Answer:

24min

Step-by-step explanation:

30-28.32=1.68

1.68/0.07cents=24

Answer:

Step-by-step explanation:

You didn't provide us with correct choice

The centroid of a triangle is the point of intersection of its medians.

The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.

The figure whose centroid is point G is triangle LMN.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, From the attached image, we have the following highlights

There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves

The lines that pass through point G divides the three sides of triangle LMN into equal halves

The above highlights mean that:

Point G is the centroid of triangle LMN.

Hence, the figure whose centroid is point G is triangle LMN.

Read more about centroids at:

brainly.com/question/1189196

#SPJ5

Problem 1

--------------------------

Explanation:

The factors of 20 are 1,2,4,5,10,20

They are numbers that pair up to multiply to 20. For instance, 5*4 = 20. We only focus on whole numbers.

In the list given to us, we see that only 20 is a factor of 20. Something like 17 is not a factor of 20, and so on for the other values.

==========================================

Problem 2

--------------------------

Explanation:

List out the multiples of 3 to get {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}

The stuff in bold are values found in the original list.

Now list out the multiples of 7 to get {7, 14, 21, 28, 35, 42, ...}

We can see that only 21 is found in both lists of multiples we wrote out.

Note how 3*7 = 21, which is not a coincidence.

Answer:

100

Step-by-step explanation:

multiplication, 20*5.

Answer:

i would go with 100

Step-by-step explanation:

20 times 5

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

Answer:

2.3

Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry

Answer:

x=(8,0)

y=(0,4)

Step-by-step explanation:

Answer:

x=(8,0)

y=(0,4)

Step-by-step explanation:

Hopes this helps

Answer:

x>8

Step-by-step explanation:

Hope that helps you!!

Answer: suckkkkkkkdbejehejjssjsj

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

just trust me

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

Answer:Newton's First Law

Step-by-step explanation:

"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google

Answer:

It's because someone added LETTERS to math.

Step-by-step explanation:

I know this because I'm suffering from this.

A brainliest for this doggo is a bone! This doggo would appreciate a bone!

M: Mental

A: Abuse

T: To

H: Humans

Answer:

Advancement in human mathematics

Step-by-step explanation:

The number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons

If Dedra's boat used 5 gallons of gasoline in 4 hours, this is expressed as:

5 gallons = 4 hours

In order to know the number of gallons needed in 10 hours, this is expressed as:

x = 10 hours

Divide both expressions:

5/x = 4/10

4x = 50

x = 50/4

x = 12.5 gallons

Hence the number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons

Learn more on rate here: https://brainly.com/question/24304697

Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].

The slope of the line graphed below would be 2.

Using the formula Rise/Run, you can solve the slope using the graph. The Rise would be equal to 2 units, with the Run being one. This means that for every 1 unit on the x-axis, there are 2 units displaced on the y-axis. Therefore, the slope would be 2/1.

Answer: X=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5x+2=12

5x= 12-2

5x= 10

x= 10/5

x=2

Answer:

36a2 - b2

Step-by-step explanation:

( 6a + b)( 6a - b)

36a2 - b2

6^2 a2 - b^2

x2 y2 = (xy)2

(6a)2 - b^2

(6a + b)(6a - b)

Hope that helps :)

A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.

Answer:

a real number without regard to its sign.