PLEASE HELP ME I’ll GIVE 20 PTS!!! The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?

By using the transformations of congruent triangles, the congruence statement is true for triangle ABC and triangle EFG and it is false for triangle DEF and triangle JKL.

The transformations of congruent triangles include translations, reflections and rotations.

a) Triangle ABC is a translation of triangle EFG. This is said as all the sides of the triangle ABC are proportional to that of triangle EFG. The side AB is proportional to that of side EF. The side AC is proportional to that of side EG. The side BC is proportional to that of side FG. So, triangle ABC and triangle EFG are congruent to each other.

b) In triangle DEF and triangle JKL, neither the sides nor the angles are proportionate. The side JK is neither proportional to DE, EF nor DF. Angles are also not proportional to each other as well. So, triangle DEF and triangle JKL are not congruent to each other.

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Answer:

2x + 3y = 5 >>>> 1st equation

2x + 4y = 6 >>>> 2nd equation

2nd equation - 1st equation

2x+4y-2x-3y=6-5

y=1

2x+3×1=5

2x=2

x=1

Answer:

  (a)  (x -(7 +i))

Step-by-step explanation:

You want to know what must be a factor of f(x) if it has roots -9 and 7-i.

The complex roots of a polynomial with real coefficients are always found in conjugate pairs. Since 7-i is a root, its conjugate, 7+i, must also be a root. The corresponding factor is ...

  (x -(7 +i))

If 7-i is a root of f(x), then (x -(7+i)) must be a factor.

The preceding quadratic equation can be factored as follows: (X + 2 ) (X - 49) (X - 49).

acc to our question,

Hence,The preceding quadratic equation can be factored as follows: (X + 2 ) (X - 49) (X - 49).

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Answer:

See the explanation below.

Step-by-step explanation:

Whether the answer is positive or negative depends on the number of positive and negative values in the question. The rules are exactly the same as to whether an answer is positive or negative. In the case of fractions, the rules for multiplying fractions apply as well (the numerators in the expression multiply to produce the product's numerator; the denominators in the expression multiply to produce the product's denominator) and the answer should be reduced to lowest terms.If there is an odd number of negative terms, the answer will be negative.If there is an even number of negative terms, the answer will be positive.

I would appreciate it if you mark my answer as brainliest.

The 21-centimeter radiation easily passes through the interstellar dust clouds that prevent optical measurements from being made deep inside the galactic center, enabling the charting of the galaxy's spiral structure.

Hydrogen line:

A change in the energy state of neutral hydrogen atoms results in the formation of the hydrogen line, also known as the 21 centimeter line, H I line, or H I line. Its frequency is exactly 1420 in this electromagnetic radiation.

The charting of the galaxy's spiral structure is made possible by the 21-centimeter radiation's ability to easily pass through the clouds of interstellar dust that prevent optical investigations deep inside the galactic center.

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Each person will get to eat 4 pieces of hoagies.

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Here, at the Stanley Cup Party Maddie and Tony, they bought 12 hoagies and cut in the thirds which results in 36 pieces of hoagies.

Since, 9 people come to the Stanley party and hoagies have 34 pieces.

So each person will get the following pieces of hoagies

36/9=4.

Therefore, each person at Stanley party will get 4 pieces of hoagies.

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Use a protractor it will help alot

Answer:

-400.50

Step-by-step explanation:

Answer:

Earned interest = 1281,23

Step-by-step explanation:

Let C = 9750 be the invested capital, and i = 2.5% be the annual compound interest, And C(5) the capital after 5 years :

we recall that the compound interest equation is written as :

C(n) = C * ( 1 + i ) ^ n
while n is the number of years, we can replace the values. Thus, we wil have :
C (5) = 9750 * ( 1 + 0.025 ) ^ 5
C (5) = 11031,23
So, the earned interest over 5 years is equal to 11031,23 - 9750 = 1281,23

The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).

Given,

In the question:

The inverse function f(x) = [tex]10^x[/tex]

To find the inverse function:

Now, According to the question;

f(x) = [tex]10^x[/tex]

Rewrite the function using y

y = [tex]10^x[/tex]

Interchange the position of x and y in the function

x = [tex]10^y[/tex]

Isolate the dependent variable

y = [tex]\frac{Inx}{In10}[/tex]

Find the inverse function

[tex]f^-^1(x) = \frac{Inx}{In10}[/tex]

Hence, The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).

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Answer:

550

Step-by-step explanation:

The rabbit population in a certain area is 200 % of last​ year's population. There are 1,100 rabbits this year. How many were there last​ year?

200% is the same as twice the size of last year

1,100 / 2 = 550

Answer: 550

200% is double of a whole so its basically 2 so you just have to divide 1100 by 2.(I think im not super sure but I hope this is right)

Jessica's journey in total is a distance of 4.31 Kilometers.

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

Given that

The distance traveled by horse = 3.31 km

The distance traveled by motorcycle = 1 km

To determine the total distance of Jessica's journey

The total distance of Jessica's journey = distance traveled by horse + distance traveled by motorcycle

The total distance of Jessica's journey = 3.31 + 1  

Apply the addition operation,

The total distance of Jessica's journey = 4.31

Therefore, Jessica's journey in total is the distance of 4.31 Kilometers.

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1. The x-intercept of the line is: 16

2. The y-intercept of the line is: 20

The x-intercept of a line is the value of x when the corresponding value of its y-coordinate is equal to 0.

On the other hand, y-intercept of a line is the value of x when its corresponding x-value is equal to zero.

Given the equation, 5x + 4y = 80, to find the x-intercept, substitute y = 0:

5x + 4(0) = 80

5x + 0 = 80

5x = 80

x = 80/5

x = 16

x-intercept is: 16

To find the y-intercept, substitute x = 0:

5(0) + 4y = 80

0 + 4y = 80

y = 20.

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Answer:

the answer I got is option number three i.e 4

The fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]

What is Fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator

How to solve this problem?

The steps are as follow:

Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).

Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10x.

Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF

Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

So the 3.88888 can be written as in fraction as following:

3.88888 = 388888/100000

dividing both num. and denominator ny 8

=(388888/8)/(100000/8)

=[tex]3\frac{11111}{12500}[/tex]

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Let's x be equal to 3.88888...

Multiplying both sides of the equation by 10, we get 10x = 38.88888...

Subtracting the left sides of these equations, we get:

10x - x = 38.88888... - 3.88888...

9x = 35

Dividing both sides of this equation by 9, we get:

x = 35/9

Therefore, the decimal 3.88888... is equal to the fraction 35/9. Answer: A) 38/9 (reduced form of 35/9).

The required sale for the year is given as $833,333.34.

Given that,
A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the sales be x,
according to the question,
25000 + 0.03x = 50000
0.03x = 25000
x = 25000/0.03
x = $833,333.34

Thus, the required sale for the year is given as $833,333.34.

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The standard form of the given function (x + 1) (x + 3) (x - 4) is :

(x^3 -13x - 12) .

Here based on the given question,

We only want to expand the function and look up

f(x) = (x+1)(x+3)(x-4) in standard form.

We'll obtain:

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

f(x) = (x + 1)*(x^2 + 3*x - 4*x + 3*-4)

f(x) = (x + 1)*(x^2 - 1*x - 12)

f(x) = (x^3 + x^2 - x^2 - x - 12x - 12)

f(x) = (x^3 -13x - 12)

Using standard form, the function is:

f(x) = (x^3 -13x - 12)

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Answer:

3

Step-by-step explanation:

doin it now lol

The line joining R and R' is perpendicular to the line m therefore, the slop  is the negative inverse of the slope of the line m which is (-1/2)

11. The point R is at located at R'(6, -1)

Perpendicular lines are oriented at 90° to each other.

11. The image of a point (x, y) following a reflection is located directly vertical on the other side of the line.

The image of (x, y) after a reflection across the x-axis is (x, -y), the x-coordinate remains the same such that the line joining (x, y) and (x, -y), is perpendicular to the x-axis, which is the line of reflection.

Similarly, when R is reflected across the line m to produce the image, R', the segment [tex]\overline{RR'}[/tex] joining the preimage and the image of the reflection, will be perpendicular to the line m.

The slope of the line perpendicular to the line m, y = 2·x - 3 is -(1/2) which is -0.5

The slope of the segment [tex]\overline{RR'}[/tex] is -0.5

11. The coordinates of the point R is R(-2, 3)

The known slope of the line joining R and R' and the coordinates of the point R(-2, 3) indicates that the equation of the line on which the image is located is therefore;

y - 3 = (-0.5) × (x - (-2)) = -0.5·x -  1

y = -0.5·x -  1 + 3 = -0.5·x + 2

The point of intersection of the two lines is therefore;

-0.5·x + 2 = 2·x - 3

2.5·x = 5

x = 5/2.5 = 2

y = 2×2 - 3 = 1

The point of intersection is I(2, 1)

The change in the x and y-coordinate from I to R are;

Δx = 2 - (-2) = + 4

Δy = 1 - 3 = -2

The change for point R' are therefore;

Δx' = (2 + 4) = 6

Δy' = 1 - 2 = -1

The coordinates for R' is (6, -1)

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The value of angle x is 113 degrees and y is 67 degrees.

What is angle?

In euclidean geometry, an angle is that the figure shaped by 2 rays, referred to as the perimeters of the angle, sharing a typical end point, referred to as the vertex of the angle. Angles shaped by 2 rays exist the plane that contains the rays.

Main body:

Given ;

∠C = 62°

∠A =51°

according to triangle sum property: Sum of angles of triangle is 180°

Using it,

62° +51° +∠y = 180°

113°+ ∠y =180°

∠y = 67°

∠x is equal to the sum of interior opposite angle ,so using it we get:

∠x = 61°+52°

∠x = 113°

Hence the value of ∠x is 113 degrees and y is 67 degrees.

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The answer is 3x + 10.

The linear equation in general form to represent the given statement will be 5A + 3B = 553600.

How to form general equation?

Jose invested money in fund A at interest = 6%

Interest = (A * 5 * 1) / 100

Interest on fund A = A/20

Jose invested money in fund B at interest = 5%

Interest = (B * 6 * 1) / 100

Interest = 3B/100

Total interest he get = $5536

Interest on fund A + Interest on fund B = 5536

A/20 + 3B/100 = 5536

(5A + 3B)/100 = 5536

5A + 3B = 553600

Therefore, the linear equation in general form to represent the given statement will be 5A + 3B = 553600.

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The cost of the basic portrait package = $55

The cost of the deluxe portrait package = $97

What is a system of equations?

Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

Here, we let

x = the cost of the basic portrait package

y = the cost of the deluxe portrait package

Eighth graders from Dover Elementary School ordered 82 basic portrait packages and 73 deluxe portrait packages, for a total of $11,591:

82x + 73y = 11591

The seniors at Clarksville High ordered 85 basic portrait packages and 70 deluxe portrait packages, for a total of $11,465:

85x + 70y = 11465

by solving the system of equations:

82x + 73y = 11591

85x + 70y = 11465

We get

x = $55

y = $97

Hence, the cost of the basic portrait package = $55

the cost of the deluxe portrait package = $97

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Answer:

t = [tex]\frac{V-20}{5}[/tex]

Step-by-step explanation:

V = 5t + 20 ( subtract 20 from both sides )

V - 20 = 5t ( divide both sides by 5 )

[tex]\frac{V-20}{5}[/tex] = t

Answer: t = V/5 - 4

Step-by-step explanation:

V=5t+20

V-20=5t

V/5 - 20/5 = t

(V/5) -4=t

A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)

The amount of sample that will remain after 4000 years is; 4.8357 mg

The number of years that it will take for only 17 mg of the sample to remain is;  1076 years

A) Using the model for radioactive decay;

m(t)= m₀e^(-rt)

where;

m₀ is initial mass

r is rate of growth

t is time

Thus, we are given;

m₀ = 27 mg

r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043

and so we have;

m(t) = 27e^(-0.00043t)

c) The amount that will remain after 4000 years is;

m(4000) = 27e^(-0.00043 * 4000)

m(4000) = 27 * 0.1791

m(4000) = 4.8357 mg

d) For 17 mg to remain;

17 = 27e^(-0.00043 * t)

17/27 = e^(-0.00043 * t)

In(17/27) = -0.00043 * t

-0.4626/-0.00043 = t

t = 1076 years

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The matched opposites are G and W.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

G = -6 and W = +6, they are opposite to each other.

This means, same number 6 with opposite signs + and -

Therefore, the answer is C) G and W

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Answer:

x = - 1

Step-by-step explanation:

given a parabola in standard form

ax² + bx + c ( a ≠ 0 )

then the vertical axis of symmetry is

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

x² + 2x - 8 ← is in standard form

with a = 1, b = 2 , then

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

equation of axis of symmetry is x = - 1

P(2 ≤ x ≤ 3)  = 0.55 , using probability distribution.

What do you mean by probability distribution?

A frequency distribution that has been idealised is a probability distribution.

An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears.

The probability of occurrence of a value determines how frequently it appears in a sample.

A value will occur more frequently in a sample the higher its probability.

It is given that discrete random variable has a distribution of

P(x = 1) = 0.15, P(x = 2) = 0.39, P(x = 3) = 0.16, P(x = 4) = 0.30

For P(2 ≤ x ≤ 3) = P(2) + P(3) = 0.39 + 0.16 = 0.55

Therefore, P(2 ≤ x ≤ 3)  = 0.55

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