5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
x. It would be helpful to draw two congruent triangles and carefully label the three vertices on each.

Answer:

the answer would be 7y+8

Step-by-step explanation:

16 + 7y - 8

so you'll group like terms like this

7y + 16 - 8

then you will Add/Subtract the numbers

so 16 - 8 = 8

solve that then add in 7y and you get your answer :)

7y + 8

The simplified form of the expression is 8 + 7y.

To simplify the expression 16 + 7y - 8, you combine like terms by adding or subtracting the coefficients of the same variables. In this case, the constant terms (16 and -8) can be combined, and the term with the variable (7y) remains the same.

To simplify the expression, we combine the like terms, which means we add or subtract the coefficients of the same variables.

16 + 7y - 8 simplifies to:

(16 - 8) + 7y = 8 + 7y

The simplified form of the expression is 8 + 7y.

Read more on mathematical expressions here https://brainly.com/question/1859113

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Answer:

The answer is 1/2

Step-by-step explanation:

If you look at the distance between P and R and the dilation between P' and R' you would get 4 and 2. This the scale dilation is 1/2. Multiply 1/2 by 4 and you would get 2.

Answer:

1/2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

Answer:

6

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

The value of the function f(x) = -5x when x = 0 is 0. This point also represents the y-intercept of a declining straight line graph.

To find the value of the function f(x) when x equals 0, we simply substitute 0 for x in the given function. The function provided is f(x) = -5x, which implies a linear relationship between y and x. Therefore:

f(0) = -5(0) = 0

The value of f(x) at x = 0 is 0, which also represents the y-intercept of the graph. Since the coefficient of x is negative, we know the graph is a declining straight line. However, at the point where x = 0, the graph will intersect the y-axis.

Answer:

Part A: The cube root of a positive number is a positive number.

Part B: x = 3

A. Howie is wrong because he implied that the answer could be negative. B. The correct answer is x = 3.

When Howie attempted to solve the equation [tex]\(x^3 = 27\)[/tex], he mistakenly concluded that x = -3 was a solution.

However, [tex]\((-3)^3\)[/tex] is equal to -27, not 27. Therefore, -3 is not a valid solution to the equation.

Howie's answer was incorrect because he mistakenly included x = -3 as a solution, which does not satisfy the equation [tex]\(x^3 = 27\).[/tex]

The revised answer should only include the correct solution x = 3. The equation [tex]\(x^3 = 27\)[/tex] has only one real solution, which is:

x = 3

Answer: 100

Step-by-step explanation:

25*4 = 100

Hey!

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

Solution:

25 * 4 = 100

25 + 25 + 25 + 25 = 100

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Check:

100 / 4 = 25

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Answer:

25

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Hope This Helped! Good Luck!

70000000 the reason that this is the answer to this is because if multiply 10 by 7 you will have 70 and just add 6 zeros

Answer:

Its 700000

Step-by-step explanation:

Answer:

@misterking_59 i 2,000 no prb

Step-by-step explanation:

Answer:

415320

Step-by-step explanation:

According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 413520 [four hundred thirteen thousand, five hundred twenty].

I am joyous to assist you anytime.

Answer:

The house increases by $23,580 and he current value of the house is $285,580

Step-by-step explanation:

A house on the market was valued at $262,000. After several years, the value increased by 9%.

The first part of the question is to find by how much the house's value increase in dollars, to calculate this, we will simply find;

9% of $262,000

= [tex]\frac{9}{100}[/tex]   × $262 000

= [tex]\frac{2358000}{100}[/tex]

=$23580

Therefore, the house's value increase by $23580

The second part of the question is to fin the current value of the house. Hence;

Current value of the house = $262,000 + $23580=$285,589

Therefore the current value of the house is $285,589

Answer:

Step-by-step explanation:

They start at the origin.because : when x = 0    y= 2(0) =0 and y=3(0)=0

Answer:

all are right

Step-by-step explanation:

Answer:

Step-by-step explanation:

X/7=3/2  multiply by : 5

x = 21/2

Answer:

[tex]|x+5|=1.5[/tex]

is the equation describing minimum and maximum acceptable temperatures.

The minimum temperature could be [tex]-6.5^{\circ}[/tex]

and the maximum temperature could be [tex]-3.5^{\circ}[/tex]

Step-by-step explanation:

The owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. So, the minimum temperature could be

[tex]-5^{\circ}-1.5^{\circ}=-6.5^{\circ}[/tex]

and the maximum temperature could be

[tex]-5^{\circ}+1.5^{\circ}=-3.5^{\circ}[/tex]

Let [tex]x^{\circ}[/tex] be acceptable temperature of freezer. The difference between the acceptable temperature and given temperature [tex]x-(-5)=x+5[/tex] cannot be more than 1.5° and less than 1.5°, so

[tex]|x+5|\le 1.5[/tex]

Then

[tex]|x+5|=1.5[/tex]

is the equation describing minimum and maximum acceptable temperatures.

Solve it:

[tex]x+5=1.5\text{ or }x+5=-1.5\\ \\x=1.5-5\text{ or }x=-1.5-5\\ \\x=-3.5\text{ or }x=-6.5[/tex]

Answer:$1,199

Step-by-step explanation:

$1,199 X 5.25%=$1,261.95

Answer:

20³ in = 8000 inches³

Step-by-step explanation:

The formula to find the volume of a cube is s³

The two angles given, X and 2x are supplementary angles which when added together need to equal 180 degrees.

Set up an equation to solve for x:

x + 2x = 180

Simplify:

3x = 180

Divide both sides by 3:

x = 180/3

x = 60 degrees.

Answer:

frist add 3 plus 2 then multiply it by 21 and then you will get 105 and 105 will represent d

Answer:

Cos(A) = 10/26

Tan(C) = 10/24

Step-by-step explanation:

cos = adjacent/hypotenuse

tan = opposite/adjacent

Answer:

Cos(A) = 10/26

Tan(C) = 10/24

Vertical angles are the same,

Set the two equations to equal each other to solve for x:

5x-7 = 8x-55

Subtract 5x from both sides:

-7 = 3x -55

Add 55 to both sides:

3x = 48

Divide both sides by 3:

x = 48 /3

x = 16

Now you have a value for x, solve angle D:

8x -55 = 8(16) - 55 = 128 - 55 = 73 degrees.

Answer:

The answer is m∠D is 73.

Step-by-step explanation:

In order to determine the answer, we have to know about vertical angles.

Vertical Angles are the angles opposite each other when two lines cross. These angles share the same vertex. I have attached an image that shows vertical angles.

So, according to the definition:

m∠C=m∠D

m∠C=5x-7

m∠D=8x-55

[tex]5x-7=8x-55\\5x-8x=-55+7\\-3x=-48\\x=\frac{-48}{-3}\\ \\x=16[/tex]

m∠D=8*16-55=73

Finally, the angle m∠D is 73.

Answer:Sheila

Step-by-step explanation:

Answer: Casey had the most votes.

Order from most to least: Casey (12/30), Bo (9/30), Avery (8/30), Daisy (1/30).

Step-by-step explanation:

We need to firstly get then all to have the same denominator.

15 * 2 = 30

4 * 2 = 8

Avery = 8/30

10 * 3 = 30

3 * 3 = 9

Bo = 9/30

5 * 6 = 30

2 * 6 = 12

Casey = 12/30

Daisy = 1/30

Answer:

Casey had the most votes

Step-by-step explanation:

2021, lol

The equivalent ratio of girls to boys in the school orchestra is 3 to 2 or 3:2.

Solving equivalent ratios

Equivalent ratios are similar ratios in mathematics, that has different terms but the same solution after being solved. The ratio of two numbers usually compares the size of two numbers together.

To find equivalent ratio of a given number. we need to either multiply or divide the original value.

Here, we are to find the  equivalent ratio of girls to boys in the school orchestra is 15 to 10.

Girls to boys = 15: 10

i.e.

[tex]\dfrac{15}{10}[/tex]

In its lowest terms, we can divide both the numerator and the denominator by 5, by doing so we get an equivalent ratio.

[tex]= \dfrac{15 \div 5}{10 \div 5}[/tex]

[tex]= \dfrac{3}{2}[/tex]

Answer:

18000

Step-by-step explanation:

12 x 1500

=18000

Have a nice day!!!!!!! :-)

KA

Answer:

18,000 people.

Step-by-step explanation:

To solve this, you would use multiplication. So your problem would be:

12*1500=?

The answer to this is 18000.

So, the seating capacity of the stadium is 18000 people.

In order to get the answer to this question you will have to use PEMDAS and solve.

[tex]6\times7-3^2\times9+4^3[/tex]

Using PEMDAS:

[tex]3^2=3\times3=9[/tex]

[tex]4^3=4\times4\times4=64[/tex]

[tex]6\times7-9\times9+64[/tex]

[tex]6\times7=42[/tex]

[tex]9\times9=81[/tex]

[tex]42-81+64[/tex]

[tex]81+64=145[/tex]

[tex]42-145[/tex]

[tex]42-145=-103[/tex]

[tex]=-103[/tex]

Therefore your answer is "-103."

Hope this helps.

Answer:

The value of the expression is 25.

Step-by-step explanation:

Consider the provided expression.

[tex]6 \times 7 - 3^2 \times 9 + 4^3[/tex]

First simplify the exponents.

[tex]3^2=9\ and\ 4^3=64[/tex]

Substitute the value of exponents in the provided expression.

[tex]6 \times 7 - 9 \times 9 + 64[/tex]

[tex]42- 81+ 64[/tex]

[tex]106- 81[/tex]

[tex]25[/tex]

Hence, the value of the expression is 25.

[tex]\text{Hello there!}\\\\\text{You're solving for x, meaning that you have to get x by itself}\\\\\text{Solve for x in the inequality:}\\\\-6 <x-1 <9\\\\\text{Add 1 to both sides}\\\\\large\boxed{-5<x<10}[/tex]

Answer:

Less than, acute, equal to, and right

Step-by-step explanation:

correct on edge.

Use the drop-down menus to complete the statements.

42 is less than 3^2 + 362.

Therefore, △JKL is acute.

5^2 is equal to 3^2 + 4^2.

Applying the same method, △ABC is right.

Your question is incomplete. Please read below to find the content.

Less than, acute, equal to, and right are the correct drop-down menus.

An angle that is measuring much less than ninety degrees is called an acute angle. This perspective is smaller than the proper angle (that is equal to 90 stages). For an instance, ∠30°, ∠forty-five°, ∠60°

Any shape that could be a rectangular or a rectangle, will have its corners equal to ninety tiers or right angle. A proper attitude is therefore referred to as a ninety-diploma perspective. In geometry, the figure formed through two rays, referred to as the perimeters of the angle, sharing a common endpoint, known as the vertex of the angle is referred to as an attitude.

Learn more about angles here: brainly.com/question/7620723

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Answer:

75=15+2x

30 degrees in Chicago

Step-by-step explanation:

x will be Chicago's temperature.

75=15+2x

Because 75 is the total temperature in Tampa, and you get that total temperature by adding 15 and 2 times the temperature of Chicago.

Subtract 15 from both sides.

60=2x

Divide 2 from both sides.

30=x

So it's 30 degrees in Chicago.

Answer: [tex]75=2C+15[/tex]

Step-by-step explanation:

Given : The temperature in Tampa, Florida is 15 degrees warmer than twice the temperature in Chicago, Illinois.

Let the temperature in Chicago is denoted as 'C in degrees'.

Since , The temperature in Tampa is 75 degrees.

Then, we have the following equation

[tex]75=2C+15[/tex]

Hence, an equation to determine the temperature in Chicago will be [tex]75=2C+15[/tex]

Answer:

Less than 1

Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

[tex]0.644=\frac{1}{p}[/tex]

[tex]0.25=\frac{1}{q}[/tex]

where p and q are greater than 1

then

[tex]0.644\times0.24=\frac{1}{p.q}[/tex]

But p.q is greater than 1, so 1/(p.q) is smaller than 1

Answer:

Less than 1

Step-by-step explanation:

Both the number are less than 1, i.e 0.64 and 0.25.

Hence, the result will always be less than 1 and will be in zeros.

If you write both numbers in fraction, the denominator will be greater than the numerator, hence the resulting fraction will be less than 1.

Hope this helps.

Good luck and thankyou.