The triangles shown below must be congruent. True or false?

Answer:

see explanation

Step-by-step explanation:

To find k, calculate the ratio of corresponding sides, image to original, that is

k = [tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{8}{28}[/tex] = [tex]\frac{2}{7}[/tex]

Thus

QR' = [tex]\frac{2}{7}[/tex] × QR = [tex]\frac{2}{7}[/tex] × 21 = 2 × 3 = 6 , that is

x = 6 → C

Answer:

1,242,000

Step-by-step explanation:

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

Answer:

Option (1)

Step-by-step explanation:

Parent function for both parabolas graphed is, y = x²

For the large parabola,

This parabola is formed by translating the parent function 4 units downwards.

So the equation will be, y = x² - 4

Now graph of the inequality shows the dotted line with shaded area inside the parabola,

Equation of the parabola will be,

y > x² - 4

Similarly, equation of the other parabola will be,

y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]

So the system of inequalities will be,

y > x² - 4

y < x² + 6

Therefore, Option (1) will be the answer.

Answer:

A or the top option

Step-by-step explanation:

I used process of elimination

B simply does not work because in order for 4 to be subtracted by another number to equal 18, that number (width) would have to be negative

C also isn't correct since if it was solved out, we would add four to both sides, making the left side equal to w/2 + 4 which isn't what we want because the length is 4 shorter, not longer

D can be dealt with in the same way, by adding w/2 on both sides, making the left side 4 + w/2, the same as the previous option.

Answer:

D, E, F

Step-by-step explanation:

After you prove that the two triangles are congruent, you just need to look for the similair placed angles and lines.

Answer:

D, E, F

Step-by-step explanation:

These three are the only ones that complete CPCTC requirements.

Answer:

Option A

Step-by-step explanation:

The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.

Option A should be the correct answer.

Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.

The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.

From the figure, we have the following highlights

The above means that the transformation from one triangle to the other is a rigid transformation

Hence, the true statement is (a)

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Answer:

10

Step-by-step explanation:

The constant of variation would be 12 / 1.2 = 10.

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]y \propto x[/tex]

[tex]y=kx[/tex]

[tex]12=k \times 1.2[/tex]

[tex]k=\frac{12}{1.2}[/tex]

[tex]k=10[/tex]

The constant of variation is [tex]k[/tex].

5x-20 = 2x+10

3x-20= 10

3x= 30

x=10

Answer:

x = 10

Step-by-step explanation:

Step 1: Distribute parenthesis

5x - 20 = 2x + 10

Step 2: Add 20 to both sides

5x = 2x + 30

Step 3: Subtract 2x from both sides

3x = 30

Step 4: Divide by 3

x = 10

Answer:

The (GCF) greatest common factor is 3

hope this helps ;)

Step-by-step explanation:

Answer:

LCF = 3

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 15 are: 1, 3, 5, 15

The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.

I hope this helps!!

Answer:

1 book and 7 tenths of another book

Step-by-step explanation:

Answer:

.625

Step-by-step explanation:

5/8= About .6

.6x8=4.8

.02x8=.16

.005x8=.04

48+1.6=4.96

49.6+.4=5.0

Answer:

B and D

Step-by-step explanation: i used my brain

Answer:

B and D

Step-by-step explanation:

Answer:

D.) The x-coordinate of the center of the circle decreased by 2

Step-by-step explanation:

(consult the diagram attached below)

Consider a circle

(x - 2)² + (y - 3)² =25

Where (h, k ) = (2, 3) which is the center of the circle.

When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.

If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.

Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)

The new equation of circle will be:

(x - 0)² + (y - 3)² =25

(x )² + (y - 3)² =25

Answer:

A

Step-by-step explanation:

The 3D shape of the 5 cubes put to a 2D-plane will be representing the diagram A.

Answer: A

Step-by-step explanation:

This is because Option A has 5 cubes, as well as the model above which also has 5 cubes. When you change the angle of the way you are looking at Option A it will be  similar to the plan above

Answer:

This is true.

Answer:

Angle A = 39°

Angle B = 90°

Angle C = 51°

Step-by-step explanation:

Answer:

Salad(x)=6, smoothie(y)=4

Step-by-step explanation:

Salad=x

Smoothie=y

2x+4y=28 (1)

3x+5y=38 (2)

To eliminate the x- variable ,equ(1) is multiplied by -3 and equ(2) is multiplied by 2

-6x-12y=-84 (3)

6x+10y=76 (4)

Add equ (3) and (4)

-2y=-8

y=-8/-2

y=4

Substitute y=4 into equ(1)

2x+4y=28

2x+4(4)=28

2x+16=28

2x=28-16

2x=12

x=12/2

=6

x=6, y=4

Answer:

when adding equations: 2

salads: $6

smooties: $4

Step-by-step explanation:

just did it

hope this helps :)

Answer:

The correct option is D

D) The graph of function f(x) is shifted right 3 units and up 4 units

Step-by-step explanation:

Lets the function be y = f(x)

To shift the graph 3 units to the right, we add -3 to the x term of the function:

Function becomes y' = f(x-3)

Then to shift the graph up by 4 units, we add -4 to the y term of the function:

Function becomes:

y - 4 = f(x-3)

y = f(x-3) +4

g(x) = f(x-3) +4

Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units

Answer: The correct answer is D. The graph of function f is shifted RIGHT 3 units and up 4

Step-by-step explanation:

Answer:

270°

Step-by-step explanation:

Full circle length is 2πr= πd= 8π

6π/8π= x/360

3/4= x/360

x= 3*360/4

x= 270°

Answer:

A) 12

Step-by-step explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]

Multiply both sides by 2y:

[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]

Hope this helps!

Answer:-3

Step-by-step explanation:

promise its B

The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

What is Domain?

The set of all inputs of the function is called Domain of set.

Given that;

The function is,

⇒ f (x) = (x + 5) / (x - 2)

Now,

Since, We know that;

In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

So, We get;

The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;

Make the denominator zero and solve for x as;

x - 2 = 0

x = 2

Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.

Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

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Answer:

15 cm

Step-by-step explanation:

Area of a rectangle formula: A = lw

Simply plug in known variables and solve:

60 = 4(w)

w = 15

Answer:

15 cm

Step-by-step explanation:

If we know the area which is 60 and the width which is 4 we can just divide 60 by 4 and we get 15cm

Answer:

Step-by-step explanation:

The third picture with 4.5 being theu put the answer is 9.5 not 3

everything else seems good to me

Answer: A) = 81

Step-by-step explanation:

Say that the four numbers are a,b,c & 97.

Then a+b+c+97/4 = 85

a+b+c+97=340

a+b+c=243

a+b+c/3 = 81

The average of the remaining three numbers is 81.

The average of the numbers a₁, a₂, ..., aₙ is calculated as

Average = (a₁ + a₂ + ··· + aₙ) / n.

Given

Average of the four numbers = 85,

The largest of the four numbers is 97.

Find the sum of all the four numbers

Let the four numbers be a, b, c, and d. Then, using their given average,

(a + b + c + d) / 4 = 85

⇒  a + b + c + d = 85 × 4 = 340.

Find the sum of the numbers excluding the largest one

Let the largest number be d. So, d = 97. Then, the sum of the remaining three is

a + b + c = 340 - d = 340 - 97 = 243.

Find the average of the three numbers

Using the above definition average of the remaining three numbers is calculated as

Av(a,b,c) = (a + b + c)/3 = 243 / 3 = 81.

The required average of the remaining three numbers is 81.

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Answer:

rounding to the thousandths place, the answer is 0.714

Step-by-step explanation:

This can easily be looked up on google

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

Answer:

Part A;

There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.

Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.

An example of such system of equation is

x < 0

y > 0

The system of equation above represent all the points in the second quadrant of the coordinate system.

The area above the x-axis and to the left of the y-axis is shaded.Part B:

Part B

It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.

Substituting D(-4, 2) into the system we have:

-4 < 0

2 > 0

As can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.

Also, substituting E(-1, 5) into the system we have:

-1 < 0

5 > 0

As can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.

Part C

:This part is different from yours because my equation is y> 4x + 3 and it's been a long time since I did that task and I don't remember anything. I hope you can do yours from my example.

Given that chicken can only be raised in the area defined by y > 3x - 4.

To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.

For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true

For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false

For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false

For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true

For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true

For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true

Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.

.Take that exam and got 100% .The exam was 05.13 Segment One Exam Part 3.I really hope this helps you.And please give me the brainliest

Answer:

give person above brainliest

Step-by-step explanation:

its right

Answer:

I believe the answer would be CD is less than DB which is less than BC

Step-by-step explanation:

I derived this answer by looking at the angle degrees. Typically, the larger the angle, the larger the side.

Answer:

Solution,

Let the number be X

60% of X=13.5

[tex] \frac{60}{100} \times x = 13.5 \\ or \: \frac{60x}{100} = 13.5 \\ or \: 60x = 1350(cross \: multiplication) \\ or \: x = \frac{1350}{60} \\ x = 22.5[/tex]

hope this helps...

Good luck on your assignment..

Answer:

22.5

Step-by-step explanation:

Answer:

The answer is 6,674.322

Step-by-step explanation:

An easy way to solve this is to move the decimal point up by one space.

You could also multiply 66,743.22 by 0.1 and you would get the answer.

Hope this helps :)

Answer:

6674.322

Step-by-step explanation:

To find 10% we move the decimal one place to the left

66,743.22  moves one place to the left

6674.322