8. The following data represent the number of pop-up advertisements received by 10
families during the past month. Calculate the mean number of advertisements received
by each family during the month.
43
37
35
30
41
23
33
31
16
21

Given:

In triangle ABC, [tex]AB=11x-25,DE=4x+1[/tex].

To find:

The measure of DE.

Solution:

From the given figure, it is clear that D is the midpoint of AC and E is the midpoint of BC. So, the line segment DE is the mid-segment of the triangle ABC.

According to the triangle mid-segment theorem, mid-segment of a triangle is equal to half of its base.

Using triangle mid-segment theorem, we get

[tex]DE=\dfrac{1}{2}AB[/tex]

[tex](4x+1)=\dfrac{1}{2}(11x-25)[/tex]

[tex]2(4x+1)=11x-25[/tex]

[tex]8x+2=11x-25[/tex]

Isolate the variable terms.

[tex]8x-11x=-2-25[/tex]

[tex]-3x=-27[/tex]

[tex]x=\dfrac{-27}{-3}[/tex]

[tex]x=9[/tex]

The value of x is 9. So,

[tex]DE=4x+1[/tex]

[tex]DE=4(9)+1[/tex]

[tex]DE=36+1[/tex]

[tex]DE=36+1[/tex]

[tex]DE=37[/tex]

Therefore, the length of DE is 37 units.

Answer:

12 + 4y is the simplified version of 4(y+3). When you simplify you need to use the distributive property. So, 4 multiplied by y is 4y. 4 multiplied by 3 is 12.  So the answer will be 12 + 4y. Hence, they are equivalent.

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong then I am incredibly sorry!

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible.  

Step-by-step explanation:

Answer:

Rational is with fractions

Irrational is with expressions

Step-by-step explanation:

Answer:

29: 7

Step-by-step explanation:

[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]

Cross multiply:

[tex]8(x + 3y) = 5(3x - y)[/tex]

Expand bracket:

[tex]8x + 24y = 15x - 5y[/tex]

Bring x terms to 1 side, y terms to the other:

[tex]15x - 8x = 24y + 5y[/tex]

Simplify:

[tex]7x = 29y[/tex]

Divide by 7 on both sides:

[tex]x = \frac{29}{7} y[/tex]

Divide both sides by y:

[tex] \frac{x}{y} = \frac{29}{7} [/tex]

∴ The ratio of x to y is 29:7.

Answer:

80+2x=180°{co-interior angle}

2x=180-80

2x=100

x=50°

hope it helps.

Answer:

(x+6)² + (y-6)² = 181

Step-by-step explanation:

equation of the circle in general is (x - a)² + (y - b)² = r²

center is (a, b) in our task a=-6 b=6

so equation of the circle is (x+6)² + (y-6)² = r²

we have point  (3,-4)​ ⇒ x=3 y=-4

put x y in equation of the circle ⇒  (3+6)² + (-4-6)² = r² ⇒r² =181

⇒The equation of a circle is (x+6)² + (y-6)² = 181

Answer:

x²+ y² - 109 = 0

Step-by-step explanation:

The coordinate of centre of circle = (-6 , 6)

Point through which it passes = (3 , -4)

So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,

⇒ D = √ [ ( x - x' )² + ( y + y')² ]

⇒ D = √ [ (3+6)² + (6+4)² ]

⇒ D = √ [ 9² + 10² ]

⇒ D = √ [ 81 + 100 ]

⇒ D = √ 181

⇒ D = 13.45 .

Now substituting the respective values in the general equation of circle .

⇒ ( x - h)² + (y - k)² = r²

⇒ { x - (-6) }² + { y - (6) }² = (13.45)²

⇒ ( x + 6 )² + ( y - 6)² = 13.45²

⇒ x² + 36 + 12x + y² + 36 -12x = 181

⇒ x² + y² + 72 = 181

⇒ x² + y² + 72 - 181 = 0

⇒ x² + y² - 109 = 0

Answer:

76.5

Step-by-step explanation:

if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5

Answer:

Total amount spend on DVD = $87

Step-by-step explanation:

Given:

Total number of week = 6 week

Number of DVD purchase per week = 2

Cost of reduced price DVD = $5.50

Cost of regular price DVD = $9

Find:

Total amount spend on DVD

Computation:

Total amount spend each week = Cost of 1 reduced price DVD + Cost of 1 regular price DVD

Total amount spend each week = 5.5 + 9

Total amount spend each week = $14.5

Total amount spend on DVD = Total number of week x Total amount spend each week

Total amount spend on DVD = 6 x 14.5

Total amount spend on DVD = $87

Answer:

20.5g in protein

427.55mg in sodium

Step-by-step explanation:

Add the amount or proteins he ate first for all the food he ate, and then the sodium for the food and there is your answer.

Answer:

225

Step-by-step explanation:

Clockwise turn:

Southeast to South = 45

South to North = 180

Southeast to North = 180 + 45 = 225

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

The direction angle is :-

180° for South to North + 45° for South East to South

so total change in phase is ==> 180°+45° ==> 225°

hence, C.) option is correct

Answer:      x=-5

Step-by-step explanation:

Distribute

6(x+3)-1(x+4)=-11

6x+ 18-1(x+4)=-11

6x +18-x-4=-11

Subtract the numbers

6x +18-x-4=-11

6x +14-x=-11

Combine like terms

6x +14-x=-11

5x +14=-11

subtract 14 from both sides of the equation

5x +14=-11

5x +=14-14 = -11 -14

simplify

5x=-25

divide both sides

x=-5

Answer:

100 students

Step-by-step explanation:

10% of students in 7th grade ----- 10 students

Divide by 10 on both sides:

1% of students in 7th grade ----- 10 ÷10= 1 student

×100 on both sides:

100% of students in 7th grade ----- 1 ×100= 100 students

Answer:100

Step-by-step explanation:

Answer:

Sorry it doesn't look like you attached any link for this.

Answer:

1 bowl = 1/3 cups

6 bowls = (1/3) * 6

             = 2 cups

So, the container hold 2 cups of sugar

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

q + q - r (p - q)

-4 + (-4) - 9[-9 - (-4)]

-8 - 9 (-5)

-8 + 45

37

Answer:

x = 6√2

Step-by-step explanation:

This is a right triangle, specifically a 45-45-90 one.  Using the Pythagorean Theorem, we get x^2 + x^2 = (12 cm)^2, or:

2x^2 = 144 cm^2, or

x^2 = 72 cm^2.

This comes out to x = 6√2

Answer:

Add image pls ill go check ur prf once you add it with the pic just tell me when you do it if you can.

Answer:

Commission earned= $43.95

Step-by-step explanation:

Giving the following information:

Commission rate= 15% = 0.15

Sales= $293

To calculate the commission earned by selling the laptop, we need to use the following formula:

Commission earned= commission rate*sales

Commission earned= 0.15*293

Commission earned= $43.95

Answer:

Step-by-step explanation:

ax+b = 0    

Answer:

21.038 ft

Step-by-step explanation:

6.7x3.14=21.038

hope this helps

plz can  i get brainliest:)

Answer:

if your looking for radius it would be 3.35 if your looking for surface area its 3.14(3.35)^2  

Step-by-step explanation:

Answer:

d) -1

hope it help

Answer:

 ∠BFC = 50

Step-by-step explanation:

∠AFC = 90

∠AFB + ∠BFC = 90

40 + ∠BFC = 90

           ∠BFC = 90 - 40

          ∠BFC = 50

Answer: B-C

Step-by-step explanation:

I believe it is the angle of B-C becuase B-E is a strieght line which equals 180. Also EFD looks the same as AFB so it is 40. And DFC is 90 becuase of the square. So we take 180-40-90=50. And the only one that is not solved is B-C

we know that

when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them

so

15%=15/100------> 0.15

$63*0.15=$9.45

the answer is

$9.45

Answer:

Formula: SA= 2B+Ph

This might not be an exact answer but it makes it easier

Answer:

2

Step-by-step explanation:

3(x-4)=2(-2x+1)

3x-12=-4x+2

3x-(-4x)-12=2

3x+4x=2+12

7x=14

x=14/7

x=2

The true statement about the end behavior of f(x) is (b)

The equation of the function is given as;

f(x) = -4x^6 +6x^2-52

The leading coefficient of the above function is

Leading coefficient = -4

-4 is less than 0 i.e. negative

This means that options (a) and (c) are false

Also;

The ends of even functions face the same direction, and not opposite directions.

Hence, the true statement about the end behavior of f(x) is (b)

Read more about end behaviors at:

https://brainly.com/question/1365136

#SPJ9

Answer:

1 ten and 5 ones

Step-by-step explanation: