Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of unit(s) and a across the -axis. Reset Next

Answers

Answer 1

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.

Step-by-step explanation:

The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)

Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).

Answer 2

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2unit(s) left and reflected across the x-axis.

Step-by-step explanation:


Related Questions

Kenny pays $50.00 for a total of 12 books. If each book cost the same, how much was each book?

Answers

Answer:

x= 4 1/6

Step-by-step explanation:

1. Create equation

12x=50

2. Solve

12x/12=50/12

x=4 1/6

3. Check

12x4 1/6=50

12x50/12=50

50=50

Correct!

4. Answer

x= 4 1/6

Hey there! All you’d have to do is set up an equation!
12x = $50.00, where x is our unknown, or the cost of each individual book.
Divide 12 from both sides:
12x/12 = $50.00/12
x = 4.1667
So, the total cost of each book is around $4.17!

show us a parallelogram ABCD is given.If the diagonals AC and BC interest at O and AO = 4cm, find the length of AC.
plssssssss write the real answer.​

Answers

Answer:

8 cm

Step-by-step explanation:

We know the diagonals of a parallelogram bisect each other.

If O is the point of intersection of diagonals, AC is split into AO and OC.

AC = AO + OC

Since AO = OC, the length of AC is:

AC = 2*AO = 2*4 cm = 8 cm

Graph the line.


y = −4x + 2

Answers

Answer:

it rise over run so put 2y on graph count down 4 and move right 1

Step-by-step explanation:

The radius is cm.
The circumference in terms of his vt cm
Using 3.14 for a, the approximate circumference of the
v cm.
circle is
d = 2 cm

Answers

Answer:

The radius is 1.75 cm, 1 3/4 cm, or 7/4 cm (all the same, just in different forms)

The circumference in terms of π is 7/2(π) cm, 3.5(π), or 3 1/2(π) cm (all the same, just in different forms)

The approximate circumference of the circle is 10.99 or 11 cm. (don't know if it's supposed to be rounded)

Step-by-step explanation:

Radius = 1/2 of the diameter, so 1/2 of 7/2 is 1.75, 1 3/4, or 7/4 cm.

Circumference in terms of pi means to not approximate pi. Circumference of circle is πd, so the exact circumference would be 7/2 pi cm, 3.5 pi cm, or 3 1/2 pi cm.

3.5 x 3.14 = 10.99. 10.99 cm ≈ 11 cm.

A football is punted from a height of 3. 5 feet about the ground with an initial velocity of 45 feet per second. This situation can be represented by the function −16t2 + 45t + 3. 5 , where t is the number of seconds elapsed since the football was kicked. If the football is caught at a height of 5. 5ft on the ball’s descent, when was the football in the air at that height?

Answers

Answer:

h= -5.6444444444 ft

Step-by-step explanation:

h= 5.5

5.5= -16^2 + 45 t +3.5

5.5 = 256 +45t +3.5

2= 256+45t

-254= 45t

t=- 5.6444444444

I hope that's right formula for you. Thanks.

Pls, help me solve this. Show your work

Answers

Answer:

y = 2x + 1/3

Step-by-step explanation:

Since the line is parallel to y = 2x - 5, its slope is also 2x, as parallel lines have the same slope, leaving you with y = 2x.

Since it intercepts the y-axis at 1/3, and y = 2x intercepts the y-axis at 0, you will now need to add a 1/3 to the end of the equation for it to intersect the y-axis at the right place.

Therefore, the equation is: y = 2x + 1/3

Greg saves $15 every week. What expression would represent the amount of money in dollars Greg will save in W weeks?

Answers

Answer:

15W

Step-by-step explanation:

$15 is the amount he plans to save every week (constant), the W will represent the number of weeks

Answer:

15w

Step-by-step explanation:

w is the unknown amount and every week greg saves 15. So the equation would be 15w.

You can plug a number to check in for example 5. He would save $75.00 in 5 weeks.

(SHow ur work if u dont I will report :) Find the quotient: 49.6 ÷ 6.2
Answer:

Answers

Answer:

answer is 8 explained in picture

[tex][Hello,BrainlyUser][/tex]

Answer:

8

Step-by-step explanation:

Knowing that;

Quotient ⇒ Divide

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:10[/tex]

[tex]\frac{496}{62}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;496\;by\;62\;to\;get\;8[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\\ 62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace9\emptyspace6}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{49.6}{6.2}\:\mathrm{is}\:8[/tex]

[CloudBreeze]

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

The answer would be (-2,10)

Explanation:
Since it is telling us to focus on point A, we should do so.

It tells us to shift -6 units horizontally. This means we should shift point A to the left 6 units.

Then it wants us to reflect over the x-axis. The x-axis is the horizontal line. Flipping it across just means changing the x value to the opposite.

Therefore it is (-2,10)

Answer:

(-2, 10)

step-by-step explanation:

original vertex A: (4, -10)

If translated horizontally, there will be change in x axis

new coordinates: (4-6, -10) → ( -2 , -10)

Then reflected over x axis, so use the formula: (x, y) → ( x, -y)

new coordinates: (-2, 10)

Find the slope and the y intercept for the equation below 2x+y=7

Answers

Answer:

the slope is 2

y- intercept is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Isolate y:

y=-2x+7

2) Identify the slope (it is the coefficient of x after isolating y):

slope=-2

3) Replace x=0 to find the y intercept:

y=-2(0)+7=7.

If 3 superscript 2 x 1 baseline = 3 superscript x 5, what is the value of x?

Answers

The value of x for the considered algebraic equation is 4.

What are some basic properties of exponentiation?

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation (the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^c \implies b = c \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

For this case, we have got the equation as:

[tex]3^{2x+1} = 3^{x+5}[/tex]

Using the property that: [tex]a^b = a^c \implies b = c \: \:(if \: a \neq 1 \: and \: a \neq -1)[/tex], we get:

[tex]2x + 1 = x + 5\\[/tex]

Solving it further:

[tex]2x + 1 = x + 5\\\\\text{Subtracting 1+x from both the sides}\\\\2x + 1 - (1+x) = x+5 - (1+x)\\x = 4[/tex]

Thus, the value of x for the considered algebraic equation is 4.

Learn more about exponentiation here:

https://brainly.com/question/15722035

Rewrite the fractions using the least common denominator.

5/8 and 11/12

a. 15/24 and 22/24
b. 2/4 and 3/4
c. 60/96 and 55/96
d. 12/20 and 19/20

Answers

Answer:

its A

Step-by-step explanation:

Find the slope of the line that passes through the points (2,-10) and (-4,2).

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

Plug the two points in slope formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\\\\frac{2-(-10)}{-4-2} \\\frac{12}{-6} \\\\m= -2[/tex]

7/1 x 1/4=?
thanks for the help!!!

Answers

Answer:

1.75

Step-by-step explanation:

Answer:

7/4 or 1¾ or 1.75

Step-by-step explanation:

7/1 × 1/4

7 × 1 = 7

1 × 4 = 4

James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?

Answers

Answer:

Step-by-step explanation:

Let the number of 5-cent coins he has be x and the number of 10-cent coins he has be y

x coins + y coins = 157 coins

(x × 5)cents + (y × 10)cents = $10

These two equations are true about the money he has, i.e

x + y = 157

5x + 10y = 1000

(We made the $10 into 1000 cents because the coins are in cents)

We can solve the above equations either simultaneously or through substituting.

Simultaneously:

(x + y = 157) × 5

5x + 10y = 1000

5x + 5y = 785

5x + 10y = 1000

Subtract the co-efficients in the equations

0x + -5y = -215

-5y = -215

y = 43

This means he has 43 10-cent coins.

PS: We get the number of 5-cent coins by subtracting 43 from 157, the total number of coins he has.

Substituting:

x + y = 157

5x + 10y = 1000

y = 157 - x

5x + 10(157 - x) = 1000

5x + 1570 - 10x = 1000

-5x = -570

x = 114 coins

157 - 114 = 43 coins

Thus there are 43 10-cent coins.

Answer:

46

Step-by-step explanation:

You would have 46 10-cent coins. First split it up into dollars, there are $10 and 10 dimes in each dollar. So if James has 157 coins you would need to first see how many coins he has in total. In total there are 100 dimes. We need to get to 157 coins so we'll need to break up some of the coins. So we keep turning the dimes into nickels until we get the number 157 for all the coins in total. So James has 46 10-cent coins.

Can anyone HELP ME WITH THIS QUESTION ON VOLUME ILL GIVE BRANNIEST

The diameter of a cylinder is 1 yd. The height is 12 yd.

Find the volume of the cylinder.

Answers

Answer: V≈9.42 yd^3

the formula to use for a cylinder is V=πr^2h. The radius is 0.5 since the diameter is 1. The height is 12. Plug them in and you get that answer.

Hope it helps!

Factor the binomial expansion. 196x2 + 420x + 225

Answers

Answer:

Though many different types of expressions can be classified as binomials, not all of them can be factored. In order to be factorable, a binomial has to have a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor.

Step-by-step explanation:

Please answer well, not just for points. Thank you!

Answers

C

The slope of a displacement-time graph gives the velocity. If the slope is positive, it shows that the person or object is moving away from the reference or the starting point (in this case Lisa’s the reference point is her home as she’s going from home —> school and back). If the slope is negative, the body is coming to the initial point. In this case, In Part C we see that the slope is negative showing Lisa is coming back home

please help me find the median only

Answers

Answer:

12

Step-by-step explanation:

The median is the middle value of the entire set of data when the data is in order. No calculation is needed most of the time.

So here the middle value is 12.

Have a good day!

please help me quickly!

Answers

Answer:

-209/222

Step-by-step explanation:

solve the mixed fractions and turn them into improper fractions and then take the lcm

Answer:

The total answer would be 0.25


Bruce, Cathy and Dilip paid $7, $10 and $8
respectively for a lotto ticket. The ticket won
a prize of $600. Calculate Bruce's share of
the winnings.

Answers

Hey there!

Add the total of Bruce, Cathy and Dilip

=> 7 + 10 + 15

=> 25

Then, Divide it by 600

=> 600 ÷ 25

=> 24

To find how much Bruce's share

we multiply 24 times the $10 he contributed

=> 24 × 10

=> 240

Therefore, Bruce's share would be $240

Pls answer!!!! I will give a lot points

Answers

1. 24

2. 10.4

3. 12.8

so your basacually adding the number to itself

ex.

12.4+12.4= 24.8 that would be the answer

y + 5 equals 3/4 (x + 4) which graph matches the equation​

Answers

Answer:

i have no idea what the answer is

Step-by-step explanation:

If one angle of a parallelogram measures 80° what are the measures of the other three angles in a parallelogram

Answers

In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.

Now find the other two angles:

360 - 80 - 80 = 200 degrees

200 degrees / 21 = 100 degrees each.

The other 3 angles are: 80, 100 and 100

Gabriel must practice piano at least 15 hours a week. This week he has practiced 6 hours so far. Piano lessons are part of Gabriel’s practice time. His teacher gives 2-hour lessons. what inequality can be used to find x, the number of lessons Gabriel must attend this week?

Answers

Answer:

9

Step-by-step explanation:

Answer:

lessons he must complete: 15= 2x-6

Step-by-step explanation:

On the left side of the equation you have 15 hours which is what he must fulfill. X represents number of lessons he must complete. You convert the lessons to hours by multiplying by two because that is how long each lesson is. Im not sure if your teacher wants u to put 2x-6=15 or 2x= 11. Most likely the first answer


There are 16 boys in an English class of 28 students. The ratio of boys to the total number of students in this class is typical of the whole school. There are 476 students in the school. About how many are boys?

Proportions In Word Problems

—In the picture, when I wrote at the top: “B” is for the boys in the equation and the “S” is for the students in the English class, if anyone was wondering what that meant—

Answers

I think there would be about 272 boys

URGENT!!! I ONLY HAVE A SPECIFIC AMOUNT OF TIME! PLEASE DON'T SKIP!!!
BRAINLIEST + EXTRA POINTS!!

Answers

Answer:

x=5

Step-by-step explanation:

25x+30+5x=180 <----- do this (dont feel like showing my work)

USE SYMBOLAB I LITERALLY USE IT ALL THE TIME!!

Claire is planning on becoming a member at the gym down the street from her house. They charge a $60 sign-up fee and an additional $8 per month. Write a linear equation y=mx+b to represent this situation, using x to respresent the number of months and y to represent the total cost of her membership.

Answers

Answer:

The linear equation is y = 8x + 60

Step-by-step explanation:

the slope-intercept form of the linear equation is

y = m x + b, where

m is the slope of the line (the rate)b is the y-intercept (the fixed amount)

∵ Claire charge a $60 sign-up fee

→ This means it is a fixed amount for a sign-up

b = 60

∵ There is an additional $8 per month

→ This means it is the rate

m = 8

∵ y represents the total cost of her membership in x months

→ Represent this situation by the form of the linear equation above

∴ y = 8x + 60

The linear equation is y = 8x + 60

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. There was a total of $640 in revenue from the sale of 100 total tickets. Graphically solve a system of equations in order to determine the number of student tickets sold, x, and the number of adult tickets sold, y.

Answers

Answer:

number of student tickets sold (x) = 40

number of adult tickets sold (y) = 60

Step-by-step explanation:

Let x = number of student tickets sold

Let y = number of adult tickets sold

Given:

total ticket sales = 100

⇒ x + y = 100

Given:

student ticket = $4adult ticket = $8total ticket sales = $640

⇒ 4x + 8y = 640

Rewrite  x + y = 100  to make x the subject:

⇒ x = 100 - y

Substitute  x = 100 - y  into  4x + 8y = 640  and solve for y:

⇒ 4(100 - y) + 8y = 640

⇒ 400 - 4y + 8y = 640

⇒ 4y = 240

⇒ y = 60

Substitute found value for y into x = 100 - y and solve for x:

⇒ x = 100 - 60

⇒ x = 40

To solve graphically, rewrite both equations to make y the subject:

y = 100 - x

y = 80 - (1/2)x

Plot both lines.

The solution is the point of intersection (40, 60)

Write the following expressions as a single integer.

-7 + 21

Answers

The answer is 14

find subtract the integers of interest and then subtract 1

Answer:

14

Step-by-step explanation:

-7 + 21

21 = Positive

-7 = Negative

Since, there are more positive than negative Thus, answer is positive

21 - 7 = 14

Hence, the answer is 14.

~`Lenvy`~

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