7. What is the measure of ZE ?

Answer:

Tangent

Step-by-step explanation:

A TANGENT to a circle is a line, ray or segment in the plane of the circle that intersect the circle in exactly one point.

An tangent to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.

A circle is defined as a plane figure bounded by a single curved line, with every point on that line being equally distant from the center point. Tangents have a unique property where they touch the circle at precisely one point and are perpendicular to the radius drawn to the point of contact. This concept is fundamental to understanding circles and their geometric properties.

Answer:

x = 5

Step-by-step explanation:

-4x - 2 = -22

-4x = -22 + 2

-4x = -20

x = -20 / -4

x = 20 / 4

x = 5

Answer:

x = 5

Step-by-step explanation:

-4x - 2 = -22

add 2 to both of the sides

-4x -2 + 2 = -22 + 2

solve it

-4x = -20

then divide

-4x/4

-20/-4 = 5

x = 5

Sorry if my explanation was bad

828 small spheres can be made from the metal.

Step-by-step explanation:

Side of the cube = 4.5cm

Volume = (a x a x a)

= (4.5 x 4.5 x 4.5)

= 91.125 cubic cm

Radius of the sphere = 3mm = 0.3 cm

Volume of 1 sphere = (4/3) π(r x r x r)

= (4/3) (3.14) (0.3 x 0.3 x 0.3)

= (4/3) (3.14) (0.027)

= 0.34/3

= 0.11 cubic cm

No. of spheres = 91.125/0.11

= 828.4

So, 828 small spheres can be made from the metal.

Answer:

-6

Step-by-step explanation:

12(5+2y) = 4y - (6-9y)

60+24y = 4y-6+9y

24y + 60 = 13y - 6

24y-13y = -6-60

11y = -66

y = -6

Answer:

[tex]y=-6[/tex]  is the correct answer.

Step-by-step explanation:

The steps involved in solving an algebraic equation in one variable are as stated as:

Step 1: If necessary, simplify the expressions on each side of the equation. This would involve things like removing parentheses, adding like terms, removing fractions.

To remove fractions: Since fractions are another way to write division, and the inverse of divide is to multiply, you remove the fractions by multiplying both sides by the "Least Common Divisor" of all your fractions.

Step 2:  Use Addition / Subtraction properties to move the variable term to one side and all other terms to the other side.

Step 3:  Use Multiplication / Division properties to remove any values that in front of the variable.

Step 4: Check your answer.

Step-by-Step Solution:

[tex]12\left(5+2y\right)=4y-\left(6-9y\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\\mathrm{Expand\:}12\left(5+2y\right)\:\:=\:\: 60+24y\\\\\mathrm{Expand\:}4y-\left(6-9y\right)\:\:=\:\: 13y-6\\\\60+24y=13y-6\\\\\mathrm{Subtract\:}60\mathrm{\:from\:both\:sides}\\\\60+24y-60=13y-6-60\\\\24y=13y-66\\\\\mathrm{Subtract\:}13y\mathrm{\:from\:both\:sides}\\\\24y-13y=13y-66-13y\\\\11y=-66\\\\\mathrm{Divide\:both\:sides\:by\:}11\\\\\frac{11y}{11}=\frac{-66}{11}\\\\y=-6[/tex]

its 350 because you -250 + 650 = 350

Answer:

The correct result would be f(g) = g * $1 - $50.

Step-by-step explanation:

If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit

g ... glasses of lemonade

f(g) = p = g * $1 - $50

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Answer:

-2.9 kg. (loss)

Step-by-step explanation:

Total change in weight = 2.3 - 1.5 - 3.7

Total change in weight = -2.9 kg.

Step-by-step explanation:

The correct equation that represents the total change in Jon's weight over the three months is (Choice A) 2.2 + (-1.55) + (-3.77), which equals a total weight loss of 3.12 kilograms.

The total change in Jon's weight over the three months can be determined by adding his weight gain and subtracting his weight loss for each month. In December, Jon gained 2.2 kilograms, represented as "+2.2". Then he went on a diet and lost 1.55 kilograms in January, represented as "-1.55" and lost another 3.77 kilograms in February, represented as "-3.77".

The correct equation that matches this situation is (Choice A) 2.2 + (-1.55) + (-3.77). This equation takes into account the weight gain and losses, with losses represented by negative numbers. When we perform the calculation, we get:

2.2 - 1.55 - 3.77 = -3.12 kilograms

This means that Jon's total change in weight over the three months is a loss of 3.12 kilograms.

Answer: 7700 committee

Step-by-step explanation:

Given that  In class A there are 15 girls and 17 boys.  And In class B, there are 19 girls and 10 boys

To find  possible committees of 3 such that the total of committee members of both classes combined consists of 4 girls, we will use combination technique

(15C2 × 17C1) + (19C2 × 10C1)

Or

(15C1× 17C2) + (19C3 ×10C0)

Or

(15C3 × 17C0) + (19C1 × 10C2)

Note that "or" means addition

(1785 + 1710) + (2040 + 855) + (455 + 855)

= 3495 + 2895 + 1310

= 7700 committee

Answer:

supplementary angles add up to 180°

given y=65° thus...

x+y=180°

x + 65°=180°

x=180°- 65°

x=115°

Answer:

x = 115°

Step-by-step explanation:

x ; y = suplementary =>

=> x + y = 180°  } => x = 180° - 65° = 115°

    y = 65°

Answer:

90% confidence interval for the population proportion of US adults who follow baseball

( 0.1842 , 0.22880)

Step-by-step explanation:

Explanation:-

Given data the survey of 891 US adults who follow baseball in a recent year, 184 said that the Boston red sox would win the world series.

The sample proportion [tex]'p' = \frac{184}{891} = 0.20650[/tex]

                           q = 1-p = 1- 0.20650 =0.79350

Confidence intervals

90% confidence interval for the population proportion of US adults who follow baseball

[tex](p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )[/tex]

The tabulated value Z₀.₉₀ = 1.645

[tex](0.20650-1.645\sqrt{\frac{0.20650X0.7935}{891} } , 0.20650 + 1.645\sqrt{\frac{0.20650X0.7935}{891} } )[/tex]

(0.20650 - 0.02230 , 0.20650+0.02230)

( 0.1842 , 0.22880)

Conclusion:-

90% confidence interval for the population proportion of US adults who follow baseball

( 0.1842 , 0.22880)

Step-by-step explanation:

1st year:

(1200 x 3.5 x 1) ÷ 100 = $42

2nd year:

(1242 x 3.5 x 1) ÷ 100= $43.47

3rd year:

(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45

4th year:

(1330.47 x 3.5 x 1) ÷ 100= $46.56

Compound interest:

$(42 + 43.47 + 45 + 46.56)

=$ 177.03

Pls mark Brainliest.

Answer:

210°

Step-by-step explanation:

360° is a full rotation. 'Of' also represents a multiplication sign in some places. It basically means that 7/12 of a full rotation is the same as 7/12 * 360° which is equal to 210°.

The equivalent of 7/12 of a full rotation (360°) is; 210°.

According to the question;

We must however remember that a full rotation is given as the angle at a point;

In essence, a full rotation in degrees is 360°.

Consequently;

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Answer:

More than 250 miles

Step-by-step explanation:

Rental cost of company A is $80 + $0.6 per mile driven and company B also has a rental cost of $30 + $0.8 per mile driven.

To find the moment when company A rental cost matches that of company B,we have to create an equation that is ideal for both parties.

80 +0.6x = 30 + 0.8x

Where x is the number of miles traveled by both trucks.

Simplifying the above equation, we have

0.2x = 50 divide both sides by 0.2

= 250 miles is when both rental cost matches .

Therefore, the number of miles needed to be driven so as the rental cost of company A to better company B should be more than 250 miles

To determine when renting a truck from Company A becomes cheaper than Company B, we set the cost equations for both companies equal and solve for the number of miles. In this case, Company A becomes the better deal when the truck is driven more than 250 miles in a day.

The cost of renting a truck from each company can be defined using linear equations: Company A's cost as $80+0.60x = y$ and Company B's cost as $30+0.80x = y$, where 'x' is the number of miles driven and 'y' is the total cost. To find out when Company A's cost is less than Company B's, we set the equations equal to each other and solve for 'x': $80+0.60x = $30+0.80x$. Simplifying this equation gives, $x = ((80-30)/(0.80-0.60))$, thus 'x' = 250. Therefore, for company A to be a better deal, the truck must be driven more than 250 miles in a day.

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Answer:

El primer paso será darle un nombre a nuestras variables:

x= Numero de libros comprados inicialmente

y=Precio inicial de los libros

Ahora analizamos el enunciado,

Lorena ha comprado libros todos del mismo precio por valor de 120 €

x*y=120 € (1)

El librero le regala 3 libros por lo que en realidad cada libro que cuesta 2 € menos

(x+3)(y-2)=120€ (2)

Tenemos entonces dos ecuaciones con dos incógnitas, así que podemos resolver,

Despejamos en (1)

x=120/y

Sustituimos en (2)

(120/y +3)(y-2)=120

120 - 240/y + 3y -6 =120

3y-240/y =120-120+6

3y -240/y =6

y- 80/y=6

y²-80=6y

y²-6y-80=0

Resolvemos la ecuación de segundo grado

a=1

b=-6

c=-80

Aplicando la resolvente,

(6+- √36+320)/2

6+-√356/2

(6+-18,86)/2

Como el valor de y no puede ser negativo la unica respuesta válida será:

y=12,43

Cada libro le costo 12,43€

Sustituyendo en (1)

x=120/12,43

x=9,65 como no puede ser un número racional

x=9

Lorena ha comprado 9 libros

Ana originally bought 12 books.

Let's say Ana originally bought x books, each costing p euros.

The total cost of all the books is 120 euros, so we can write the equation:

x * p = 120

After the bookseller gives Ana 3 free books, the new total number of books she has is x + 3 and each book costs p - 2 euros.

The new total cost of all the books is still 120 euros, so we can write the equation:

(x + 3) * (p - 2) = 120

Simplifying this equation, we get:

px + 3p - 2x - 6 = 120

Combining like terms:

px - 2x + 3p - 6 = 120

Substituting the equation px = 120, we get:

120 - 2x + 3p - 6 = 120

Simplifying further:

3p - 2x - 6 = 0

Let's rewrite this equation:

3p - 2x = 6

When we substitute the equation px = 120 into this equation:

3p - 2(120/p) = 6

Simplifying:

3p - 240/p = 6

Multiplying through by p:

3p^2 - 240 = 6p

Rearranging:

3p^2 - 6p - 240 = 0

Using the quadratic formula to solve for p:

p = (-(-6) ± sqrt((-6)^2 - 4*3*(-240)))/2*3

p = (6 ± sqrt(36 + 2880))/6

p = (6 ± sqrt(2916))/6

p = (6 ± 54)/6

For the positive value of p:

p = (6 + 54)/6 = 60/6 = 10

Now, substituting p = 10 back into the equation px = 120:

10x = 120

x = 120/10 = 12

So, Ana originally bought 12 books.

Given:

A composite figure made up of a rectangle and two pentagons.

To find:

The area of the composite shape.

Solution:

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

[tex]A=\frac{5}{2} (a)(s).[/tex]

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon [tex]= \frac{5}{2} (5.5)(8) = 110[/tex] sq units.

The area of 2 such pentagons [tex]= 2(110)= 220[/tex] square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the rectangle [tex]= (14)(8)=112[/tex] square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape [tex]=220+112=332[/tex] sq units.

The area of the composite shape is option A. 332 sq units.

Answer:

0.3678

Step-by-step explanation:

Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with parameter 1/20. Smith has a used car that he claims has been driven only 10,000 miles. If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?

Given that the total number of thousands of miles(X) that an auto can be driven

before it would need to be junked is an exponential random variable with parameter 1/20.

=> X ≅ Exponential(λ= 1/20)

=> f(x) = 1/20 * e^(-x/20) , 0 < x < ∞

=> F(X) = P{X < x} = 1 - e^(-x/20)

The probability that she would get at least 20,000 additional miles out of it.

P{X > 20} = 1-P{X < 20}

P{X > 20} = 1-(1 - e^(-20/20))

= e^(-1)

= 0.3678

Answer:

2

Step-by-step explanation:

Answer: equation= 4x-5y= 9

x intercept= 9/4

y intercept= -9/5

Step-by-step explanation: It was right on E2020

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points (1, -1) and (-4, -5)

so, slope of line

= -5 + 1 / (-4 -1)

= -4 /(-5)

= 4/5

So, the equation of line is

y+ 1= 4/5 ( x- 1)

y + 1 = 4/5x  -4/5

y= 4/5x - 4/5 - 1

y= 4/5x - 9/5

4x - 5y = 9

So, the x- intercept is 9/4 and y- intercept is -9/5.

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Final answer:

To find the percent of students who voted for the athlete, divide the number of students who voted for the athlete by the total number of students, and then multiply by 100. This results in 25% of the students voting for the athlete.

Explanation:

To calculate the percentage of students who voted for the athlete, you would use the formula: part over total, times one hundred, equals percent. In this case, the part is the number of students who voted for the athlete (15), and the total is the combined number of students who voted for the athlete and actor (15 + 45).

So, the calculation would be as follows: (15 / (15 + 45)) x 100 = (15 / 60) x 100 = 0.25 x 100 = 25%. Therefore, 25% of the students voted for the athlete.

Answer:

8 cup of blue

12 cup of red

Step-by-step explanation:

The first thing is to calculate how much black paint is produced, assuming that the volumes add up, we have to:

1/2 + 1/3 = 5/6

5/6 cup of paint is produced, I want to know how much I need to produce 20 cups, I divide the value I want by the ideal value, that is, 5/6 and thus I obtain the factor that I require:

20 / (5/6) = 24

Now I multiply by 24 each quantity of blue and red paint

1/2 * 24 = 12

1/3 * 24 = 8

Which means you need 12 cups of red paint and 8 cups of blue paint

Answer:

Robin's mean score is lower than Evelyn's mean score. This means Robin is winning as you need to minimise your score in order to be as close to the target as possible.

Evelyn because she has a better mean then robins

Evelyn has the greater mean. It indicates that, on average, her objects landed farther away from the center than Robin’s. This difference means that Robin is winning the game.

i hope it helps :)

Answer:

  1          

 — = 0.04167

 24          

Step-by-step explanation:

Step  1  :

                5

Simplify   —

                8

Equation at the end of step  1  :

 5

— ÷ 15

 8

Step  2  :

            5      

Divide  —  by  15

             8      

Final Answer:

1

__  = 0.04167

24

Answer:

7.14 Quarts of Liquid Fertilizer and

12.86 Quarts of Water

Step-by-step explanation:

Parts of Liquid Fertilizer Needed=5

Parts of Water Needed=9

Total=9+5=14

Therefore:

Proportion of Liquid Fertilizer Needed=5/14

Proportion of Water Needed=9/14

If she wants to make 20 Quarts of solution

Quarts of Liquid Fertilizer Needed=(5/14)*20=7.14 Quarts

Quarts of Water Needed=(9/14)*20=12.86 Quarts

Answer:

36

Step-by-step explanation: All you have to do is multipy the area of the original figure by the scale factor. (18 times 2) which is 36.

You're welcome <3

Answer:

Its D.72

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Im not quite sure how to explain this without a picture. But its the thing where you do the opposite to each side to find the value of X.

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

9x - 13 = 23

     +13    +13

9x                  36

_       =            _

9                     9

       x=4

Answer:

The range of the two sets are the same

Step-by-step explanation:

Answer:

C) all values of x

Step-by-step explanation:

The denominator has no real roots which means it's not 0 for any x. Hence x can take any real value

Answer:

C

Step-by-step explanation:

All values of x

I hope this is what you need

Answer:

280 miles of actual

Step-by-step explanation:

Given that:

<=> 1 inch on the map represents : 200/5 = 40 miles of actual

So the actual distance between the 2 cities is:

7*40 miles of actual

= 280 miles of actual

Hope it will find you well.

Answer:

Polygon: Octagon

Sides: 8

Angles: 8

Vertices: 8

Total interior angle: 1080

Step-by-step explanation:

8 sides so it's an octagonal figure,

8 sides, 8 vertices and 8 angles

Total angle:

(8 - 2)×180

1080