lets say you have two line segments , ab and cd which bisects each other at point E. explain why ac = ab

Answers

Answer 1

Answer:

When a line segment is bisected into 2 halves, the two halves are equal. In this case, when AB is bisected by CD, AE and BE would be equal and each point on CD should be equidistant from point A and point B. Therefore, AC = AB.


Related Questions

Two numbers have these properties.
Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...​

Answers

Answer:

16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

8×80 = xy8×80 = 8n×8m10 = nm

Possible option:

n = 2, m = 5

Then the numbers are:

x = 2*8= 16y = 5*8 = 40

finding rise and run

Answers

Answer:

Up 6 over 8, 6/8, or .75/100

Step-by-step explanation:

I'm not sure how to explain it but yeah I'm pretty sure this is it

The cost of a television with remote control is $649. This amount is $125 more than the cost without remote control. Find the cost of the television without remote control. Write an equation. Then solve the equation.

Answers

The equation for the cost of the television without remote control is  x = 649 + 125 and its solution is $774.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

Cost of television with remote control = $649

It is also given that this amount is $125 more than the cost without remote control.

Suppose x be the cost of television without remote control.

Thus, x = 649 + 125

⇒ x = 774

Thus, the equation for the cost of the television without remote control is  x = 649 + 125 and its solution is $774.

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What is the value of the 4 in the following number: 22.040

Answers

hundredths value place

Answer:

4 hundreths or 0.04

Step-by-step explanation:

0.04

The tenths then the hundreths place comes after the tenths place

HELPPPPP MEEEEEEE PLSSSS
Math assignment

Answers

Answer:

$16 for lunch

$4 for coffee

$12 left

Step-by-step explanation:

32/2 = 16

16 * 1/4 = 4

32 - (16 +4) = 12

If h = -3, which inequality is true?

Answers

Answer:

D

Step-by-step explanation:

3 - h <10

3 - (-3) < 10

3+ 3 < 10

6 < 10

Answer:3-h<10

Step-by-step explanation:

Tavon has a gift card of $90 that loses $2 for each 30-day period not used. He has another gift card for $70 that loses $1.50 for each 30-day period not used. What will the value of each card be when they have equal value?

Answers

Answer:

$10

Step-by-step explanation:

Let the number of 30 day periods be x.

[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]

When x=40, the value is 90-2(40)=$10.

The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.

Given data:

Let x represent the number of 30-day periods that have passed since the gift cards were obtained.

For the first gift card with $90 initial value and losing $2 for each 30-day period:

Value of the first card = Initial value - Loss per period * Number of periods

Value of the first card = $90 - $2 * x

For the second gift card with $70 initial value and losing $1.50 for each 30-day period:

Value of the second card = Initial value - Loss per period * Number of periods

Value of the second card = $70 - $1.50 * x

Now, to find when the two cards have equal value x:

Value of the first card = Value of the second card

$90 - $2 * x = $70 - $1.50 * x

On simplifying the equation:

$90 - $70 = $2 * x - $1.50 * x

$20 = $0.50 * x

x = $20 / $0.50

x = 40

After 40 periods of 30 days each, the two cards will have equal value.

Now, determine the value of each card at this point:

Value of the first card = $90 - $2 * 40 = $90 - $80 = $10

Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10

Hence, both cards will have a value of $10 when they have equal value after 40 periods.

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A local band is being paid $250 for performing at a local concert. They also receive $2 for each ticket sold. The chart below shows the bands total pay for the first five tickets sold.

Write an expression that will calculate the band's total pay for x number of tickets sold.
How much money will the band make for selling 100 tickets?
How much money will the band make for selling 150 tickets?
Be sure to show all work PLEASE i need this

Answers

Answer:

Question 1-- $250+$2(100)= 350 dollars

Question 2-- $250+$2(150)= 400 dollars

Step-by-step explanation:

To calculate the band's total pay for x number of tickets sold, we can use the following expression Total pay [tex]= $250 + ($2 * x)[/tex] For example, if the band sells 100 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 100) = $250 + $200 = $450[/tex]

Therefore, the band would make $450 for selling 100 tickets. Similarly, if the band sells 150 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 150) = $250 + $300 = $550[/tex]

Hence, the band would make $[tex]550[/tex]for selling 150 tickets. This expression takes into account the fixed payment of $[tex]250[/tex] for the band's performance and an additional $2 for each ticket sold. By multiplying the number of tickets sold (x) by $2 and adding it to the fixed payment, we can calculate the band's total earnings.

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Write the equation of the line PERPENDICULAR to x = -12 passing through (4,5)​

Answers

Answer:

hope ithelps :)

Step-by-step explanation:

1) x=3 is a vertical line, so if you are looking for a line that is perpendicular you are looking for a horizontal line.

And horizontal lines go through the y-axis and have equations of y= a #

2)the point on the vertical line is (4,-5), it has a y-value of -5

****Every y value on a horizontal line will be the same

so the equation for a perpendicular line would be y= -5

A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the expression and round to the nearest hundredth. Drag numbers complete the expression. Numbers may be used once, more than once, or not at all. 0.090.50.971.251.451.6567.5 + s

Answers

Answer:

1.65 + 0.09s

Step-by-step explanation:

Given that :

Cost of speaker = $22

Cost per song = $1.25

Sales tax rate = 7.5%

Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)

Expanding the expression :

0.075(22 + 1.25s)

(0.075 * 22) + (0.075 * 1.25s)

1.65 + 0.09375s

Rounding to the nearest hundredth :

Sales tax on entire purchase :

1.65 + 0.09s

At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00p.m., the temperature dropped by 5°F. What
was the evening temperature?

URGENT PLS!!!!

Answers

Answer:

21F

Step-by-step explanation:

15+6=21

What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
can chose more than one
y=1/2x+

y=4x+1/2

y=3x+1/2

y=1/2x+5​

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

I need help please,​

Answers

Answer: -7

Step-by-step explanation:

trust me

Answer:

A) -7

Step-by-step explanation:

Simplify the expression.

-4/5 (x-3)= 1/2 (-2x+2)

-4/5 ((-7)-3)= 1/2 (-2(-7)+2)

8=8

if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum​

Answers

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

Simplify:
5x2 – x + 9 = [?]
x=3
Enter

Answers

Answer:

The answer is 51

Step-by-step explanation:

What you need to do here is assign a value of 3 to x, and output the value.  Let's see what we get:

[tex]5x^2 - x + 9\\5(3)^2 - (3) + 9\\5 * 9 + 6\\45 + 6\\51[/tex]

How do you graph Y=1.2x-4 ?

Answers

Step-by-step explanation:

Use the y=mx+b reference

the b refers to the y intercept which in your case is -4

so on the graph you would put -4 on the y line so at (0,-4)

Then the m or the slope which is 1.2 means from the point (0,-4) you move 1.2 units up and 1 unit to the right forever to create your line so you continuously move 1.2/1 and -1.2/-1

The required, graph of the linear equation y = 1.2x-4 is shown in the image attached below.

To graph the equation y = 1.2x - 4:

Set up the coordinate plane with the x and y axes.Label the axes as "x" and "y" with numerical markers.Plot the y-intercept: When x = 0, y = 1.2 * 0 - 4 = -4. Plot the point (0, -4).Identify the slope: The coefficient of x is 1.2, which represents the slope.Use the slope to find another point: Starting from (0, -4), move 1 unit to the right (increase x by 1) and 1.2 units upward (increase y by 1.2). Plot the point (1, -2.8).Draw a straight line through the two points you plotted.

The graph of Y = 1.2x - 4 will be a straight line that passes through the points (0, -4) and (1, -2.8), and it will continue infinitely in both directions. The line will slope upwards from left to right with a slope of 1.2.


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The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17​

Answers

Answer:

x = 22 y = 9

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

what is 5x98 (x343)=

Answers

Answer:

168,070

Step-by-step explanation:

Multiplication, 5 x 98 = 490. 490 x 343 = 168,070

Find m. DCR if m. RCB= 115°
and m_ DCB = 169º.

Answers

It is 54. Draw it out. You will see that DCB - RCB = DCR

Based on your research, what is your top career choice? Using the eight components from your graphic organizer,

Answers

Answer:

My career choice is anesthesiologist because they have the highest paying job, they have the knowledge to treat the entire human body, and they are qualified to give emergency medicine

Step-by-step explanation:

I hope you are satisfied

Which digit is in the tenths place? 48.92
4
2
9
8

HELP FAST <33​

Answers

Answer:

9

Step-by-step explanation:

after the decimal point it go's tenths hundredths thousandths and so on

what is the expression for f(x) when we rewrite 64^x/4^5x-1 as 4^f(x)

Answers

Answer: f(x)= -2x+1

Step-by-step explanation:

The expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].

What is expression ?

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]\frac{64^x}{4^{5x-1}}[/tex]

So,

Now, to rewrite in form of [tex]4^{f(x)}[/tex],

So,

Rewrite the given expression in the form of 4,

i.e.

[tex]\frac{64^x}{4^{5x-1}}[/tex]

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

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

NOw,

Using Exponent rule,

We get,

[tex]=4^{3x-(5x-1)}=4^{3x-5x+1}[/tex]

On solving we get,

[tex]=4^{-2x+1}[/tex]

So,

[tex]4^{f(x)}=4^{-2x+1}[/tex]

Hence, we can say that the expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].

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f(x) = 3x + 3; Find f(1)

Answers

Answer:

f(1) = 6

Step-by-step explanation:

You just substitute 1 for x, 3+3 = 6

Answer:

f(1)=3(1)+3 = 6

answer is 6

Step-by-step explanation:

Which measurement describes the following situation:
What is the minimum amount of paper needed to cover a
cylinder?

A.surface area
B.volume
C.circumference
D. perimeter

Answers

Answer:

VOLUME

Step-by-step explanation:

It is not surface area. I put that and it was WRONG!!!

The minimum amount of paper needed to cover a cylinder is its surface area.

What is Surface area of Cylinder?

The surface area of a cylinder can be defined as the amount of space covered by the flat surface of the bases of the cylinder and the curved surface of the cylinder.

Here, we need to cover cylinder by paper

So, paper cover its whole surface area.

Thus, the minimum amount of paper needed to cover a cylinder is its surface area.

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Given f(x) = 4x + 1 and g(x) = x2 − 2, which of the following is an expression for f(g(x))?

Answers

The value of the expression of the composite function f(g(x)) = 4x^2 - 3

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the value of the expression?

The given parameters are:

f(x) = 4x + 1

g(x) = x^2 - 1

The composite function is given as

f(g(x)

The above composite function is calculated as

f(x) = 4x + 1

Substitute x for g(x) in the above function

So, the above function becomes

f(g(x)) = 4g(x) + 1

Substitute x^2 - 1 for g(x) in the above function

So, the above function becomes

f(g(x)) = 4(x^2 - 1) + 1

Evaluate the products in the above equation

So, we have

f(g(x)) = 4x^2 - 4 + 1

Evaluate the sum in the above equation

So, we have

f(g(x)) = 4x^2 - 3

Hence, the value of the composite function f(g(x)) = 4x^2 - 3

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6x^3 +8x^2 – 4x
I need help now ‼️‼️‼️‼️‼️‼️

Answers

Answer:

Are there any answers??

Step-by-step explanation:

Select the correct answer from the drop-down menu. In the figure, if CD = 15 cm, then BC ≈ ___ cm.
A. 6.6
B. 11
C. 21.6
D. 34.7

Answers

a is the answer to the problem

Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.

Write the correct ordered pair to show the location of each item.

1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.

Write your answer in the space below.


2. What is the location of item 2?

Write your answer in the space below.



3. What is the location of item 3?

Write your answer in the space below.


4. What is the location of item 4?

Write your answer in the space below.

PLEASE I NEED HELP ASAP!!

Answers

Answer:

1. (-3,3 ½)

2. (2.9,1) or (2 9/10,1)

3. (-1,-2.5) or (-1,2 1/2)

4. (1.9,-1) or 1 9/10,-1)

Step-by-step explanation:

Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.

What is the measure of angle E?
10 points
B
130°
С
E
F
G
H

Answers

Answer:

E

Step-by-step explanation:

Its because of Corresponding angles.

Hey guys!
Does anyone know how to solve this?
c(1)=3, c(n)= −c(n−1)+1 for n≥2
I'll give you 25 pts!

Answers

The value of c from the given expression is -

Function and values

Given the following function

c(n)= −c(n−1)+1

Given the following parameters

c(1)=3

Substitute

3 = −c(3−1)+1

3 = -2c + 1

-2c = 3-1

-2c = 2

c = -1

Hence the value of c from the given expression is -1

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