which property justifies step 3 Given: 4(x - 6) + 12 = 20

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg [tex] = \tt \frac{x}{9} [/tex] inches

▪︎Measure of its base [tex] = \tt \frac{5}{2} [/tex] inches

Which means :

[tex] =\tt 6 = \frac{x}{9} [/tex]

[tex] =\tt \frac{6}{1} = \frac{x}{9} [/tex]

[tex] =\tt 6 \times 9 = x \times 1[/tex]

[tex]\hookrightarrow\color{plum}\tt 54 = x[/tex]

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

[tex] =\tt 6 = \frac{54}{9} [/tex]

[tex] = \tt6 = 6[/tex]

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of x = 54

The square root of 1/64 is 1/8.

To find the square root of 1/64, we can simplify the fraction first by taking the square root of both the numerator and the denominator separately.

The square root of 1 is 1,

and the square root of 64 is 8:

So, √(1/64)

= √1 / √64

= 1/8

Therefore, the square root of 1/64 is 1/8.

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Answer:

1, 4, and 5

Step-by-step explanation:

18-2x5

18-10

8

6+4x4

6+16

22

6x9-9

54-9

45

7x9+1

63+1

64

4x6-6

24-6

18

Answer:

3x² + 8x - 9

Step-by-step explanation:

8x² - 5x² +x+7x-10+1

=3x² + 8x - 9

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. It can represent a number of things such as; increase or decrease in a set of numbers, a (x,y) point on a graph, or it can just be shown in a table to show rate change.

Answer:

I think it's 15 18 and 5 or 14,12

The solution are (4, 10) and (10, 12).

The phenomenon of unequal or unequal distribution of resources and opportunities among members of a given society is referred to as inequality. In different contexts and for different people, the concept of inequality may mean different things. In addition, there are distinct but interconnected economic, social, and spatial dimensions to inequality. The disjuncture between the moral ethics of equity and social justice, on the one hand, and the normative concept of "deservingness," on the other, adds complexity to debates about inequality.

Given equation of inequality for basket ball and soccer ball

y ≥ 2 + x

where  x is the number of basketballs, and y is the number of soccer balls on display,

situation says  the second number must be at least 2 more than the first number. Also, we are dealing with basket ball and soccer ball, so we won't have negative numbers (Choice E is out) or fractions (Choice B is out).

for choice A: x = 4 and y = 10 (10 is 6 more than 4)

for C: x = 14 and y = 12 (12 is 2 lee than 14 it is not correct)

for D: x= 10 and y = 12  (12 is 2 more than 10)

Hence the option A and D is correct representation for solutions.

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Answer:

4t+4p

Step-by-step explanation:

Answer:

Your answer would be A. 222.548 cm^3

Step-by-step explanation: I did it on a p e x and got it right :)

Answer:

78 is the correct answer hope it helps

Answer: Please see explanation column for answer.

x= -36

Step-by-step explanation:

Step 1

from the attachment, Mai's solving is given as

1/3 (1/2x- 9) = 1/2 (x+18)

1/6x-3= 1/2x+9

1/4x-3=9

1/4x=12

x=48

Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.

Solving correctly, we have that

1/3(1/2x-9) = 1/2(x+18)

1/6x -3= 1/2x+ 9

taking like terms to like terms

1/6x-1/2x= 9+3

(1-3)/6x= 12

-2/6x= 12

-1/3x= 12

multiplying both sides by -3

-1/3x X -3 = 12 X -3

x= -36

Answer:

23

Step-by-step explanation:

remove your answer

Answer:

6.83and 7.03 this is the answer

Answer:

6.83, 6.93, 7.03, 7.13, 7.23, 7.33 always add .10 each time.

Step-by-step explanation:

Answer:

The point P is (-15,0).

Step-by-step explanation:

We need to find the slope of the line L to get the coordinates of P.

We know that L is tangent to the circle at point (-3, 6), which means L is perpendicular to the radius of the circle (a line between the origin (0,0) and the tangent point (-3,6))

So let's find the slope or the radius.

[tex]m_{R}=\frac{6-0}{-3-0}[/tex]    

[tex]m_{R}=-2[/tex]

Now, we know that if two lines are perpendiculars their slopes follow the rule:

[tex]m_{L}=-\frac{1}{m_{R}}[/tex]  

[tex]m_{L}=\frac{1}{2}[/tex]  

Knowing the slope of L we can find the equation of this line. The slope-intercept equation of a line is:

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{2}x+b[/tex]

Using the point (-3,6) we can find b.

[tex]6=\frac{1}{2}(-3)+b[/tex]

[tex]b=\frac{15}{2}[/tex]

The line equation will be:

[tex]y=\frac{1}{2}x+\frac{15}{2}[/tex]

The point P has only an x-coordinate value (x,0)

So we have:

[tex]0=\frac{1}{2}x+\frac{15}{2}[/tex]

[tex]x=-15[/tex]

Therefore, the point P is (-15,0).

I hope it helps you!

Answer:

A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85.

Step-by-step explanation:

Answer:

$2191.12

Step-by-step explanation:

Answer:

the second one is the answer

Answer:

"Chilling in a Quiet Park Outside the City" by Cat Paw.

Step-by-step explanation:

Answer:

180g of eggs

Step-by-step explanation:

divide 120 by 2 = 60

then times 60 by 3 = 180g

Answer:

122.5

Step-by-step explanation:

If it triples her followers per 6 months then it gives her half of her followers in one month. So 35 times 3.5 which is 122.5

After [tex]7[/tex] months, Ashton will have [tex]25,515[/tex] followers.

Modelling is the process of creating a mathematical representation of a real-world scenario to make a prediction or provide insight.

We have,

Number of followers [tex]=35[/tex]

So, Every month increase is triple i.e. [tex]3[/tex] times for next [tex]6[/tex] months.

So,

According to the question,

Every month increase [tex]=\ 3\ *\ Current\ Follower[/tex]

So,

Followers after [tex]7[/tex] months [tex]= 35*(3)^6[/tex]

Because followers are increasing at the rate of three times per month,

So,

Followers after [tex]7[/tex] months [tex]= 35*(3)^6=25,515[/tex]

Hence, we can say that After [tex]7[/tex] months, Ashton will have [tex]25,515[/tex] followers.

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Answer:

x = -1/12

Step-by-step explanation:

q(x) = 12x − 3

q(x) = −4

-4 = 12x − 3

12x - 3 = -4

12x = -4 + 3

12x = -1

x = -1/12

Answer:

b= (2a+11)/5

Step-by-step explanation:

5x + 2y = 9

2y=9-5x

y= 9/2 - 5x/2

slope, m1= -5/2

for perpendicularity, m1 × m2 = -1

slope for QR= m2=

[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]

m2 is 2/5

[tex]qr = \frac{b - 3}{a - 2} [/tex]

[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]

5(b-3)=2(a-2)

5b-15=2a-4

5b=2a-4+15

5b= 2a+11

[tex]b = \frac{2a + 11}{5} [/tex]

An expression for b in terms of a is b = (2a + 11)/5.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.

So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).

We know slope m = (b - 3)/(a - 2).

∴ (2/5) = (b - 3).(a - 2).

2(a - 2) = 5(b - 3).

2a - 4 = 5b - 15.

2a + 11 = 5b.

b = (2a + 11)/5.

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Answer: B

Step-by-step explanation:

Answer:

the answer to this question would be B

Answer:

4-12

4+8y

I hope this helped.

Answer:

Hope that helps

Step-by-step explanation:

It was constructed with the stones that held the Ten Commandments.

Answer:

all that was left of the second temple after the roans destroyed it

Step-by-step explanation:

Answer:

its 34

Step-by-step explanation:

46

For the first two use the formula [tex]A^2 + B^2 = C^2[/tex]

[tex]15^2 + 36^2 = C^2(unknown)[/tex]

Calculate 15 x 15 + 36 x 36 = 1521

Now its

1525 = C^2

Fins the squeare root of 1521 whitch is 39

and square c^2 as well whitch make it C^1 or simple C

This give us a final anwser of the missing side

39 = C

Second triangle

For this the formual is different since we are not finding the lenght of the hypotunus (C), we know this becauee the missing angle is met my a 90 digree angle.

Here the equasion is  C^2 - A^2 = B^2

WE will it in again

15^2 - 9^2 = B^2

Calaulate 15 x 15 - 9 x 9 = 144

Now its 144 = B^2

Again we find the square root for each side

Square root of 144 is 12

and Square root of B^2 is Simpley B

We put in togethe to find the final anwser whitch is

12 = B

For the last two it is simple

All angles of a triangle added together must always equal 180 degrees

So it the two side are 75 and 32 we add them (75+32) to get 107

Now we just subtract that amount (107) form 180 to get the third missing angle. 180 - 107 = 73  

Here the missing angle is 73

One way to know if this is correct is to add all side and see if it equaels 180

75 + 32 + 73 = 180

For the second question it seems to be exactly the same as the first in the photo so the anwser would also be 73.

Hope this helps! :)

Answer:

248 psych books, 187 soc books.

Step-by-step explanation:

x psych books were sold

x-61 soc books were sold

Total books was 435.

So -

x+x-61 = 435

2x-61 = 435

2x = 496

x = 248.

so x-61 = 187 and

248+187 = 435.

248 psych books, 187 soc books.

Answer: True

Step-by-step explanation:

For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly.

Answer:

A

Step-by-step explanation:

Correct On EDG

Pls mark me brainllest

Answer:

A.

Step-by-step explanation: