Can u guys help me with #5 and 6 please?

We want to see which statement describes the image of a triangle after a dilation of scale factor of 2/3.

We will see that the correct option is C:

"Each angle has the same measure as its corresponding angle in the pre-image."

First, if we have a given figure and we apply a dilation of scale factor K, then all the measures of the given figures are affected by that dilation.

So if the 3 sides of the original triangle measured A, B, and C.

The new measures will be:

Notice that because all the sides changed proportionally, then the internal angles produced did not change after the dilation.

From this, we can conclude that the only correct option is C:

"Each angle has the same measure as its corresponding angle in the pre-image."

This says that the angles of the dilated triangle are the same ones as the angles of the initial triangle, which is true.

If you want to learn more, you can read:

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Answer:

a

Step-by-step explanation:

I fits the graph that is described

Answer

[tex]1)8(m -5 ) = 48 \\ 8m - 40 = 48 \\ 8m = 48 + 40 \\ 8m = 88 \\ \frac{8m}{8} = \frac{88}{8} \\ m = 11[/tex]

[tex]2)x + 7 = 13 \\ x = 13 - 7 \\ x = 6[/tex]

[tex]3)3h - 5 = 12 \\ 3h = 12 + 5 \\ 3h = 17 \\ \frac{3h}{3} = \frac{17}{3} \\ h = 5 \frac{2}{3} [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

m=11, x=6, h=5 2/3

Step-by-step explanation:

8(m-5) = 48

m-5 = 48/8 = 6

m = 6+5 = 11

m = 11

x + 7 = 13

x = 13-7 = 6

x = 6

3h - 5 = 12

3h = 12 + 5 = 17

h = 17/3 = 5 2/3 or 5.67

Find the slope of the perpendicular line

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

            ⇒  if the slope of one of the lines =  - 6

                 then the slope of the perpendicular line (m) = ¹/₆

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                              ⇒  y - 20 =  ¹/₆ (x - (-12))

                               ∴  y - 20 = ¹/₆ (x + 12)

We can also write the equation in the slope-intercept form (y=mx+c) like the equation in the question by making y the subject of the equation and expanding the bracket to simplify:

                          since   y - 20 = ¹/₆ (x + 12)

                                      y - 20 =  ¹/₆x + 2

                                              y =  ¹/₆x + 22

∴ the slope-intercept equation of the perpendicular line is y =  ¹/₆ x + 22.

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

the lines are perpendicular they cross each other in a 90* angel

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

This is because it is the number being multiplied

Hope this helps!

Answer: 9^2 or can also be read as 9 squared.The base itself is worth 9 but when you include the exponent its 81.When your solving exponents your multiplying the base by itself as many times as the exponent reads.In this case its 9x9 (2 times). The value of the base is 9 (just wanted to explain the other stuff just in case you didn't know)

have a good day :)

Answer:

ajhbdlahv

Step-by-step explanation:

ajksl

Answer:

0 < 1 < 3 1/6

Step-by-step explanation:

0/6<6/6<19/6

0 is less than 1 is less than 3 1/6

Answer:

-11

Step-by-step explanation:

it just is ok im smart

Answer:

-11

Step-by-step explanation:

bc yes

Using the subtraction operation, the number of purple bags is 3 more than the number of yellow bags.

Amount of each color available :

Number of Purple bags :

Amount of color required per bag × Amount of purple color

Number of purple bags = [tex]\frac{3}{16} \times 64 = 12[/tex]

Number of Yellow bags :

Amount of color required per bag × Amount of Yellow color

Number of yellow bags = [tex]\frac{3}{16} \times 48 = 9[/tex]

Now we find the difference between the number of Purple and Yellow bags :

Number of purple bags - Number of yellow bags

Difference = 12 - 9 = 3 bags

Therefore, there are 3 more purple bags than Yellow bags.

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Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)

La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.

De la información proporcionada:

El primer paso es abrir los soportes de adentro hacia afuera.

i.e.

Ahora, el siguiente paso es la reorganización;

Por factorización;

= - (6a + 7b)

Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).

Obtenga más información sobre la expresión algebraica aquí:

https://brainly.com/question/11227332?referrer=searchResults

Step-by-step explanation:

x+2y=4

x-2y=12

______ ( add both equation)

2x = 16

x= 16/2

x= 8

Hope it helps ya

Answer:

Step-by-step explanation:

So im gonna be using the substitution method because its easier

We divide the equations into two and solve for y

-6x+y=20

We add 6x to both sides

-6x+y+6x=20+6x

y=6x+20

Now we plug in 6x+20 for y into the other equation

2x+3y=10

2x+3(6x+20)=10 We can simplify now

20x+60=10

20x=-50

take 20 from both sides so its gonna be a fraction

-5/2

We plug in -5/2 for x

y=6(-5/2)+20

y=5

]so therefore x is -5/2 and y is 5

珠ɪᴢᴜᴍɪᴿᴬᴳᴱ

The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the expression,

2x + 3y = 10 -6x + y = 20

So,

2x + 3y = 20 and  10 - 6x + y = 20

To remove y we need to find y and substitute.

So by substituting,

10 - 6(20 - 3y)/2 + y = 20

y = 7

So,

2x + 21 = 10 - 6x + 7 = 20

Hence "The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20".

For more about the equation,

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#SPJ2

The given question is in the Spanish language in English it is ;

{2x + 3y = 10 -6x + y = 20 if it is solved by the equalization method, what is the equality that results if the variable y is cleared from both equations?

Answer:

1.75

Step-by-step explanation:

you divide 7 by 4

7÷4= 1.75

Answer is 10 m/s

First, we need to calculate one-third of 36 seconds :

[tex] \frac{1}{3} \times 36[/tex]

[tex] \frac{36}{3} [/tex]

[tex]12[/tex]

Now, to find velocity, let's divide the distance by time :

[tex]velocity = \frac{distance}{time} [/tex]

[tex]velocity = \frac{120}{12} [/tex]

[tex]velocity = 10 \: m/s[/tex]

Therefore, Jen's velocity is 10 m/s .

✍️ By Benjemin ☺️

Answer:

the independant variable is x

The Correct choices are :

Answer:

2

Step-by-step explanation:

.

Answer:

16

Step-by-step explanation:

The expected number of mortgages approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.

The expected number of mortgages approved per week :

Expected Number approved = 210 ÷ 104 = 2.019

Hence, it is expected that 2.019 mortageahes would be approved per week.

The standard deviation :

Variance = (59.5414 ÷ 104) = 0.0005698

Standard deviation = √0.0005698

Standard deviation = 0.024

Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.

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Answer:

150°

Step-by-step explanation:

They are complimentary angles, 30° is compliment x°

x° = 180° - 30° = 150°

Answer:

x = 30°

Step-by-step explanation:

We know that the angles of the corresponding interior angles are equal.

Therefore,

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

[tex]7x + 49 = 2x + 94 \\ 7x - 2x = 94 - 49 \\ 5x = 45 \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

I hope I helped you^_^

Answer:

42 ounces of flour

Step-by-step explanation:

8 - 48

7 - x

When you cross multiply, you get:

8x = 7*48

8x = 336

x = 336/8

x = 42

Feel free to mark this as brainliest! :D

Answer:

The answer is A

Step-by-step explanation:

Hope it helps!

Answer:

32

Step-by-step explanation:Reduce the expression, if possible, by cancelling the common factors.

Answer:

Here’s the link to the answer

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