A sequence of transformations which moves ΔRST onto ΔXYZ shows that ΔRST ≅ ΔXYZ. Which part of the triangles are congruent by CPCTC?

Answer:

Look at the attachment below :)

Step-by-step explanation:

When we are given just a X or a Y coordinate, we just graph that. In this example, y will always be -3 and x will be anything so its a straight line.

Answer:

[tex]\large \boxed{x = \dfrac{15}{2}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcll}6x - 2& = & 4x + 13 & \\6x & = & 4x + 15 & \text{Added 2 to each side}\\2x & = & 15 & \text{Subtracted 4x from each side}\\x & = & \mathbf{\dfrac{15}{2}}& \text{Divided each side by 2}\\\\\end{array}\\\large \boxed{\mathbf{x = \dfrac{15}{2}}}[/tex]

Answer:

The greatest common factor is 5.

Step-by-step explanation:

The prime factorisation of 10, 30 and 45 is,

10 = 2 × 5

30 = 2 × 3 × 5

45 = 3 × 3 × 5

The prime factor '5' is common in the factorisation of 10, 30 and 45

So, the greatest common factor of 10, 30 and 45 is 5.

Answer:

White.

Step-by-step explanation:

Theoretical probabilities are:

Red: 5 / ( 5 + 6 + 5) = 5/16

White: 6/16 = 3/8.

Blue:  5/16.

The answer is white because it is drawn 12 times which equals its  theoretical probability: 12/32 = 3/8.

The probability of drawing the color the same as the theoretical probability is 3/8.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A bag contains 5 red, 6 white, and 5 blue marbles.

Theoretical probabilities for the colors are:

Red:

= 5 / ( 5 + 6 + 5)

= 5/16

White:

= 6/16

= 3/8.

Blue:  5/16.

So, the probability of drawing the color the same as the theoretical probability  is white because the theoretical probability is 3/8.

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Answer:

c

Step-by-step explanation:

The figure is a triangular prism

It is like  you take an iron sheet with the shape of a trapezoid  to cut the figure

The bottom part of the "sheet match the triangular base of the prism

The top part of the"sheet match the middle point of the triangular top of the prism

Answer: I think the answer would be 50%

If the chance of having a boy or girl would be 50%, then having twins would be that probability as well.

Answer:The answer is 25%

Step-by-step explanation: 0.5x 0.5= 0.25

If its 50 % to have a boy or girl then you just multiply them.

there was a 768million person increase in that decade

Answer:

768million

Step-by-step explanation:

Answer:

+20

Step-by-step explanation:

This is meaning to add when it says to gain

Answer:

Step-by-step explanation:

parent function is the main function the start function and transformations are the new function so parent function is y = x^2 and the transformations is down for (due to the -) and left 3 (due to the +)

HOPE THIS HELPED ;3

Answer:

so....wya

Step-by-step explanation:

[tex]\frac{25}{48}[/tex] represents repeating decimal

Solution:

We are asked to find the rational number that represents repeating decimal

A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely)

Option 1

[tex]\frac{11}{40} = 0.275[/tex]

So here the decimal part is not repeating. So [tex]\frac{11}{40}[/tex] does not represent repeating decimal

Option 2

[tex]\frac{3}{25} =0.12[/tex]

So here the decimal part is not repeating. So [tex]\frac{3}{25}[/tex] does not represent repeating decimal

Option 3

[tex]\frac{25}{48} = 0.52083333333[/tex]

So here in decimal part "3" is repeating and goes on forever

So [tex]\frac{25}{48}[/tex] represents repeating decimal

Option 4

[tex]\frac{7}{32} = 0.21875[/tex]

So here the decimal part is not repeating. So [tex]\frac{7}{32}[/tex] does not represent repeating decimal

Answer:

95

Step-by-step explanation:

(80 + 95 + 90 + 80 + 100 + x) / 6= 90

x = 95

Answer:

95.

Step-by-step explanation:

The are a total of 6 numbers so  to make the mean 90 the total must be 6*90 = 540.

So the number in the blank is 540 - (80 + 95+90+80+100)

=  540 - 445

= 95.

Please the attachment for question.

Answer:

Measurement of JL=8

Step-by-step explanation:

Given:-

[tex]\triangle JKL\ is\ right\ angle\ triangle[/tex]

[tex]m\angle J=62\ degree[/tex]

JK=17

[tex]sin\ 62\ degree= 0.88[/tex]

[tex]cos\ 62\ degree= 0.47[/tex]

[tex]tan\ 62\ degree= 1.88[/tex]

To find measurement of JL=?

Now,

[tex]cos\theta=\frac{adjacent\ side}{hypotenuse}[/tex]

[tex]cos\ 62\ degree=\frac{JL}{17}[/tex]

[tex]0.47=\frac{JL}{17}[/tex]

[tex]JL=0.47\times 17[/tex]

[tex]JL=7.99[/tex]

[tex]JL=8[/tex]

Therefore measurement of JL=8

Answer:

The required points of the given line segment  are ( 9, - 2 ).

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 4, 2 ) and point A is ( - 1, 6), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex] ) and  ( [tex]x_{2}, y_{2}[/tex] )then the mid points M are-  

M = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex] , [tex]\frac{ y_{1}  + y_{2}}{2}[/tex]   )

Here,

Let A ( - 1, 6 ), B ( x, y ) with midpoint M ( 4, 2 ) -

then by the midpoint formula M are-

( 4, 2 )  = ( [tex]\frac{ - 1 + x}{ 2}[/tex] ,  [tex]\frac{ 6 + y}{2}[/tex] )

On comparing x coordinate and y coordinate -

We get,

( [tex]\frac{ -1 + x}{2}[/tex] = 4 , [tex]\frac{ 6 + y}{2}[/tex]  =  2)

( - 1 + x = 8,  6 + y = 4)

( x = 8 + 1, y = 4 - 6 )

( x = 9, y = -2 )

Hence the required points  A are ( 9, - 2 ).

We can also verify by putting these points into Midpoint formula.

Answer:

2 pounds

Step-by-step explanation:

all you have to do is 2 1/2 x 4/5 because 4/5 is equal to 1. So if you multiply that by 2 1/2 you will get the answer

Answer:

He have 32 quarters and 15 dimes.

Step-by-step explanation:

Given:

Asa saves dimes and quarters so that he will have exact change for the bus.

He has 47 coins that are worth $9.50.

Now, to find the number of coin each he have.

Let the number of quarters be [tex]x.[/tex]

And the number of dimes be [tex]y.[/tex]

So, the total number of coins are:

[tex]x+y=47.[/tex]

[tex]y=47-x.[/tex].........(1)

As given the total worth of coins = $9.50

And the value of a quarter = $0.25 and the value of a dime = $0.10.

Now, the total worth of coins are:

[tex]0.25x+0.10y=9.50[/tex]

Putting the equation (1) in the place of [tex]y[/tex] we get:

[tex]0.25x+0.10(47-x)=9.50[/tex]

[tex]0.25x+4.7-0.10x=9.50[/tex]

[tex]0.15x+4.7=9.50[/tex]

Subtracting both sides by 4.7 we get:

[tex]0.15x=4.80[/tex]

Dividing both sides by 0.15 we get:

[tex]x=32.[/tex]

The number of quarters = 32.

Now, putting the value of [tex]x[/tex] in equation (1) we get:

[tex]y=47-32.[/tex]

[tex]y=15.[/tex]

The number of dimes = 15.

Therefore, he have 32 quarters and 15 dimes.

Answer:

0.75%

Step-by-step explanation:

In order for us to obtain the answer, we first write 3 over 400 as a fraction, we then multiply it by 100 as percentage is always out of 100, so 3/400 x 100

Answer:

see explanation

Step-by-step explanation:

Given a line joining the midpoints of 2 sides of a triangle, the midsegment

Then the midsegment is parallel to and half the measure of the third side of the triangle, thus

XY = 2KL = 2 × 42 = 84

Since J is the midpoint of XY, then

JY = 0.5XY = 0.5 × 84 = 42 and

JK = 0.5YZ = 0.5 × 76 = 38

Answer:

Weight of each large box [tex]x=15.75kg[/tex]

Weight of each small box [tex]y=13.75kg[/tex]

Step-by-step explanation:

Given:- Two equations are given,

Equation 1 :- [tex]7x+9y=234[/tex]

Equation 2:- [tex]5x+3y=120[/tex]

let,

x=weight of large box in Kilogram.

y=weight of small box in Kilogram.

Now,

multiply Equation 1 by 2 and Equation 2 by 6,

So we get 2 new equations,

Equation 3:- [tex]14x+18y=468[/tex]

Equation 4:- [tex]30x+18y=720[/tex]

Now after subtracting Equation 3 from Equation 4 we will get a new equation,

i.e. Equation 5:- [tex]16x=252[/tex]

therefore [tex]x=15.75[/tex]

now, put the value of x in Equation 1, so we will get

[tex](7x15.75)+9y=234[/tex]

[tex]110.75+9y=234[/tex]

[tex]9y=234-110.75[/tex]

[tex]9y=123.75[/tex]

[tex]y=123.75/9[/tex]

[tex]y=13.75[/tex]

So, weight of each large box i.e. [tex]x=15.75 kilogram[/tex]

and weight of each small box i.e. [tex]y=13.75 kilogram[/tex]

Answer:

x=6

Step-by-step explanation:

16x-8+2x=100

18x-8=100

18x=100+8

18x=108

x=108/18

x=6

14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 16x – 8 + 2x = 100.

Sixteen times of x minus eight plus two times of x equal to hundred.

16x – 8 + 2x = 100.

We need to add the variable terms to get the equivalent equation.

Equivalent equation is an equation which looks different but the result will be same.

14x-8 = 100.

Add 8 on both sides.

14x=100+8

14x=108.

Hence, 14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.

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Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as [tex]4\div 2 =2[/tex]. So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, 5, 10.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 = 1, 3, 5, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

1572*7=11004

750*125.40=94050

94050-11004=83046

the profit is $83046

Answer:

x = - 1 and x = - 7

Step-by-step explanation:

Given

x² + 8x + 7 = 0 ← in standard form

(x + 1)(x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 7 = 0 ⇒ x = - 7

Answer:

-42 2/9

Step-by-step explanation:

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

Answer:

19-8x

Step-by-step explanation:

7-4(2x-3)

7-8x+12

19-8x

Answer:

19-8x

Step-by-step explanation:

7-4(2x-3)

7-8x+12

19-8x

Good morning,

Answer:

-19

Step-by-step explanation:

(5x−3)/2=3x+8 ⇌ 5x−3 = 2×(3x+8)  ⇌  5x−3 = 6x+16  ⇌ 6x-5x = -3-16

⇌ x=-19.

:)

Answer:

x = - 19

Step-by-step explanation:

Given

[tex]\frac{5x-3}{2}[/tex] = 3x + 8

Multiply both sides by 2 to clear the fraction

5x - 3 = 6x + 16 ( subtract 6x from both sides )

- x - 3 = 16 ( add 3 to both sides )

- x = 19 ( multiply both sides by - 1 )

x = - 19

I'm not really sure but I know that the answer is definitely not 0.25 or 0.5.

Answer:

D. 0.472

Step-by-step explanation:

I guessed on my test and got it correct trust me.

10 times

tenth

the same

Step-by-step explanation:

K.E is directly proportional to mass thus if the mass increases or decreses "k" times, then so does the K.E

Answer:

1). 10 times more 2). 10 times less 3). the same

Step-by-step explanation:

Answer:

[tex]x=-\frac{261}{46}[/tex]

Step-by-step explanation:

we have the expression

[tex]\frac{3x+2y-5z}{y-4z}=\frac{x}{3y}[/tex]

we have

[tex]y=6,z=-\frac{1}{2}[/tex]

To find the value of x, substitute the given values of y and z in the expression

[tex]\frac{3x+2(6)-5(-\frac{1}{2})}{6-4(-\frac{1}{2})}=\frac{x}{3(6)}[/tex]

solve for x

[tex]\frac{3x+12+\frac{5}{2}}{6+2}=\frac{x}{18}[/tex]

[tex]\frac{3x+12+\frac{5}{2}}{8}=\frac{x}{18}[/tex]

Multiplying in cross

[tex](3x+12+\frac{5}{2})18=8x[/tex]

[tex]54x+216+45=8x[/tex]

[tex]54x-8x=-216-45[/tex]

[tex]46x=-261[/tex]

[tex]x=-\frac{261}{46}[/tex]

Final answer:

The solution set graphic is C - Points on negative x-axis.

Explanation:

The correct solution set graphic for this question is C - Points on negative x-axis.

To determine the solution set graphically, you would need to plot all the possible values of the equation or inequality on a coordinate plane. Option A - Infinite set of points on the line would represent a linear equation or inequality with multiple solutions. Option B - Empty set would mean that there are no solutions to the equation or inequality. Option C - Points on negative x-axis would indicate that the equation or inequality has solutions only on the negative x-axis.

First, use distributive property:

5(2r+6)-12r  The original expression; multiply 5 by 2r, and 5 by 6.

10r+30-12r  Keep the -12r, just add it on to the end of the number(s) you found

Next, use communitive property:

10r+30-12r  What we found in the previous step

-2r+30        Combine the like terms; 10r-12r=-2r, then place the 30 at the end

Done! Your answer is -2r+30.

Hope that helps!