What is the area of the squares? The problems are in the picture below. 15 points!!!

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

Learn more about alternate exterior angles here:

https://brainly.com/question/23134598

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Answer:

[tex]f(d) = 15 + 3d[/tex]

Step-by-step explanation:

Given

[tex]a = 15[/tex] --- day 1

[tex]Rate = 3[/tex] -- i.e. triples daily

Required

Determine the function f(d)

The number of customers on a particular day is:

Customers = Day 1 + Rate * Number of days

Represent as a function:

[tex]f(d) = a + Rate* d[/tex]

Where d is the number of days.

So, we have:

[tex]f(d) = 15 + 3* d[/tex]

[tex]f(d) = 15 + 3d[/tex]

Answer:

the answer is center mark happy to help ya :)

Step-by-step explanation:

Answer:

145) A

146) C

147) B

148) D

Answer: $43.13

Step-by-step explanation:

The cost of a gallon of gasoline is $3.45.

Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:

= Cost of a gallon * number of gallons purchased

= 3.45 * 12.5

= $43.13

Answer:

43.14

Step-by-step explanation:

Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer:

4 skate boards

Step-by-step explanation:

We solve this question using Greatest Common Factor method

We find the factors of 8, 12 and 16

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4.

Thereeft, ,the greatest number of skate boards that can be put in a section is 4 skate boards

Answer:

Y=7.5

Step-by-step explanation:

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

Answer:

60 cubic inches

Step-by-step explanation:

each square is one cubic inch

find the dimensions

height=2 cubic inches

width=5 cubic inches

length=6 cubic inches

finding volume so lenght*width*height, or 2*5*6, which is 60

60 cubic inches

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Answer:

56

42

35

Step-by-step explanation:

Answer:

There is 8 possible combinations.

Step-by-step explanation:

4 sandwiches: turkey, ham, cheese, chicken

2 drinks: milk, water

1 desert: cake

possible combinations:

1: turkey, milk, cake

2:turkey, water, cake

3: ham, milk, cake

4: ham, water cake

5: cheese, milk, cake

6: cheese, water, cake

7: chicken, milk, cake

8: chicken, water, cake

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

Answer:

x = 6

Step-by-step explanation:

Answer:

2,1,0,-1,-2

Step-by-step explanation:

Just find the highest number and start going down.

Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Answer:

9i

Step-by-step explanation

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more, and if I could give it to you, I would!

So please don't let anyone say otherwise, there are so many people in this world who love you, including me.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer:

18%

Step-by-step explanation:

540$ is 18% of what he put towards the loan :))

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

Answer:

A: False

B: False

C: True

D: False

E: True

Step-by-step explanation:

Every true answer has a reasonable amountable difference.

Surprised to see someone not faking for points?

Hope this helped!

Answer: C

Step-by-step explanation:

Answer:

V = 567 yd³

Step-by-step explanation:

[tex]V = \frac{1}{2} ach[/tex]

[tex]V = \frac{1}{2}(9)(6)(21)[/tex]

V = 567 yd³