given: y is the midpoint of XZ
prove: XY 1/2XZ​

Answers

Answer 1

Given:

Y is the midpoint of XZ.

To prove:

[tex]XY=\dfrac{1}{2}XZ[/tex]

Proof:

It is given that Y is the midpoint of XZ. It means Y divides the line segment XZ in two equal parts XY and YZ.

[tex]XY=YZ[/tex]            ...(i)

Point Y lines on the segment XZ, so by segment addition theorem, we get

[tex]XY+YZ=XZ[/tex]

[tex]XY+XY=XZ[/tex]               [tex][Using (i)][/tex]

[tex]2XY=XZ[/tex]

Divide both sides by 2.

[tex]XY=\dfrac{1}{2}XZ[/tex]

Hence proved.


Related Questions

What number is 40% of 307
Input only whole numbers.

Answers

Answer:

123 is 40% of 307.

10% is 30.7 so
30.7 x 4 = 122.8

please help!! will mark as brainliest!

Presley has to clean her 40-gallon fish tank. Her first step is to drain the tank. Using a hose and a
siphon, she finds that she can drain 16 gallons of water per hour.
Presley writes the equation 40 - 16x = 0, where x is the number of hours, to determine how many
hours it will take to drain the tank.
The next step Presley wrote to solve the equation is shown here:
40 = 16x
Which property did she use to get to this step?

a.) addition property of equality
b.) multiplication property of equality
c.) distributive property of equality
d.) combining like terms

Answers

Answer: The answer is A.addition property of equality

Hope I helped

Pkease mark me as brainliest!

Helppp fasttt! also always contains brainliest!

Answers

Answer:

Im pretty sure it's F

Step-by-step explanation:

Sorry if im wrong

8 waffle makers cost $200. If the waffle makers all cost the same amount, how much does each waffle maker cost?

Answers

Answer:

$25

Step-by-step explanation:

divide 200 by 8 to get the unit rate, or what a single waffle maker costs.

Answer:

Each waffle maker is $25.

Step-by-step explanation:

First set up an equation here mine would be:

200=8c (c being cost)

Next get c alone, so divide each side by 8. That gives you:

c=200/8

Simplify.

c=25

So the cost of each waffle maker is $25.

The mean,mode,median in
2, 5, 5, 6, 7, 3, 2, 6?

Answers

the median is 5
the mean is 4.5.
the mode is 2,5,6,7

This it to the online school kids
How long does it take you to get ALL of you lessons done for the day?


It takes me on average 5-9 hours I kinda struggle alot lol.

Answers

Answer:

it averages about 8AM to 11Am so 3 hours

Step-by-step explanation:

Please help ASAP Cool Down: Graph the Relationship
Sketch a graph that shows the
relationship between grams of
honey and grams of salt needed
for a bakery recipe. Show on
the graph how much honey is
needed for 70 grams of salt.

Answers

Answer:

105

Step-by-step explanation:

15/10= 1.5

30/20= 1.5

70x1.5= 105

1. multiply x^2-16/6x • 7x/x+4
a. 7(x-4)/6
b. 7(x+4)/6
c. (x+4)^2(x-4)/42x^2
d. (x-4)^2(x+4)/42x^2

2. multiply y^2-9/-2y • -5y/y+3
a. -5(y+3)/-2
b. -5(y-3)/-2
c. (y+3)/-2
d. y-3/-2

Answers

Answer:

1. b

2.c

Step-by-step explanation:

Answer:

1.A

2.B

Step-by-step explanation:

Hope this helps

5.22 write the decimal as a fraction or mixed number in simplest form​

Answers

Answer:  

5 and 11/50  

Step-by-step explanation:

5.22 = 261/50 = 5 and 11/50

HELP PLEASE! I WILL MAKE BRAINLIST

Answers

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answear is true because it is strait line and also it equales (y=x+2)

combine like terms
5x + X =

Answers

Answer:

6x

Step-by-step explanation:

5x + x = ?

5x + x = 6x

This is because x means 1x

Answer:

Today: Monday, 12 October 2020

Hour: 09.15 WIB (in Indonesian)

_________________________

5x + x =

x = 1

5x + x = 6x

Please help me out!​

Answers

Answer:

x = 2/3

Step-by-step explanation:

Lets solve your equation step-by-step.

x−10=−2(x+4)

Step 1: Simplify both sides of the equation.

x−10=−2(x+4)

x+−10=(−2)(x)+(−2)(4)(Distribute)

x+−10=−2x+−8

x−10=−2x−8

Step 2: Add 2x to both sides.

x−10+2x=−2x−8+2x

3x−10=−8

Step 3: Add 10 to both sides.

3x−10+10=−8+10

3x=2

Step 4: Divide both sides by 3.

3x / 3 = 2/3

x=2/3

What is a slope of A and B

A.1/3
B.1/2
C.1/4
D.3/4

Answers

Answer:

A. 1/3

Step-by-step explanation:

to find slope (rise over run), you count how many points up and how many points over it is to get from one point to another on the line graphed.

from point A to point B, it is 4 up and 12 over (4/12). then, you have to simplify it, making it 1/3.

hopefully that helped! please consider brainliest! :)

(I need one more to move up a rank lol)

NEED HELP! ASAP! 50 POINTS!

What is the slope intercept form of 4x-3y=18? Explain.

A) y = 3/4x - 6

B) y = -3/4x - 6

C) y = 4/3x - 6

D) y = -4/3x + 6

Answers

Answer:

D

You use algebra and solve it for y.

Step-by-step explanation:

4x-3y=18

3y=4x+18

y=4/3x +6

Answer:

D

Step-by-step explanation:

Can anybody help me please with question 1 please and thank you .I would really appreciate it so much. Please

Answers

Do you want the answer for question 1!? It's already done! It says Given right there, that's an example answer :)

41= 5x+17-3x need please

Answers

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution}}}}}[/tex]

41=5x+17-3x

41=5x-3x+17

41=2x+17

41-21=2x

2x=20

[tex]x= \frac{20}{2} [/tex]

Hence,value of x=10

Hope it will help you ☺☺✌✌

SOMEONE HELP ME PLSSSSSS

Answers

Answer:

1. B) 2. D)

Step-by-step explanation:

Yuh



What is the smallest possible value for x when î x plus 5 is greater than or equal to 3?

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

x + 5 ≥ 3 ( subtract 5 from both sides )

x ≥ - 2

Thus smallest possible value for x is - 2

The picture below shows the solution set for which system of inequalities? A. y>x y<2 B. y>x y>2 C. y2 D. y

Answers

Answer:

Y<x

Y<2

Step-by-step explanation:

Apex

Find the length of the unknown side. Round your answer to the nearest whole number.

Image of a right triangle with legs labeled 5 inches each and hypotenuse unknown.

Group of answer choices

A. 7 inches

B. 10 inches

C. 25 inches

D. 50 inches

Answers

Answer:

A. 7

Step-by-step explanation:

5^2+5^2=c62

25+25=c^2

50=c^2

7=c

Answer:

A

Step-by-step explanation:

c=√a²+b²=√5²+5²≈7.07107

The gardener plans to fertilize the region of grass. The
gardener can buy only full bags of fertilizer and will
use at least 1 bag per 225 square feet of grass. What is
the minimum number of bags of fertilizer the gardener
needs to buy?

Answers

Answer:4

Step-by-step explanation:

*DOMAIN AND RANGE HELP PLEASE
if u can tell me the answers like *A. then say the two numbers that would be helpful*
but please help me!!!!!!

Answers

Answer:

Step-by-step explanation:

A) Domain: 8 Range: 7

B) Domain: 5 Range: 6

C) Domain: 1 Range: 2

D) Domain: 3 Range: 4

x2 - 10x + 21 = 0
How do you work this problem?

Answers

Answer:

x = 3, 7

Step-by-step explanation:

Step 1: Write equation

x² - 10x + 21 = 0

Step 2: Factor

(x - 7)(x - 3) = 0

Step 3: Find roots

x - 7 = 0

x = 7

x - 3 =0

x = 3

John took a 5 1/2 mile walk to his friend's house. He left at 11 a.m. and
arrived at his friend's house at 12:45 p.m. What was his average speed of
walking in miles per hour?*

Answers

Answer:

3.14 mph

Step-by-step explanation:

5.5 divided by 1.75

5.5 is the miles

1.75 is the hours

Answer: The average speed on the return trip is 2.44 miles/h

Step-by-step explanation:

Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Disheveled shelve should 263

help please! step by step if possible

Answers

9514 1404 393

Answer:

use the formula for slope2/3

Step-by-step explanation:

The formula for slope (m) of a line between two points is ...

  m = (y2 -y1)/(x2 -x1)

Pick two points from the table and fill in the values. Using the last two table entries, we have ...

  m = (7 -5)/(5 -2) = 2/3

The slope is 2/3.

Find the 22nd term of the arithmetic sequence whose common difference is d=2 and first term is a1 = -25

Answers

Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

Answer:

Hello

a=-25

d=2

a22=a+(n-1)d

     =-25+(22-1)2

     =-25+(21)2

     =-25+42

     =17

Step-by-step explanation:

HIGH SCHOOL
od knowledge Matters
Spotting the opportunity Math Quiz
QUESTION 3 of 10: There are about 30.2 million small businesses in the United States and about 30,000 other larger businesses. What
percent of all businesses in the U.S. are small businesses?
a) 30%
b) 99%
c) 99.9%
d) 100%
Submit

Answers

Answer:99.9

Step-by-step explanation:

The percent of small businesses to all businesses is equal to 99.99%.

It is given that there are about 30.2 million small businesses and about 30000 large businesses.

We have to find out what percent of all businesses in the U.S. are small businesses.

What do you mean by percentage ?

A percentage is a number or say ratio that can be expressed as a fraction of 100.

As per the question ;

The approximate number of small businesses is ;

= 30.2 million

= 30200000

The number of large businesses is ;

= 30000

Total number of businesses will be ;

=  30200000 + 30000

= 30230000

The percent of small businesses to all businesses ;

= [tex]\frac{30200000}{30230000}[/tex] × 100 %

= 0.999 × 100 %

= 99.99 %

Thus , the percent of small businesses to all businesses is equal to 99.99%.

To learn more about percentage click here ;

https://brainly.com/question/18811795

#SPJ2

Which expression is equivalent to -2y+10x−2y+10x?

Answers

Answer:

-4y + 20x

Step-by-step explanation:

please help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

[tex] \frac{5(q + p)}{2} = 3 + 4p \\ [/tex]

Multiply sides by 2

[tex]5(q + p) = 2(3 + 4p)[/tex]

[tex]5q + 5p= 6 + 8p[/tex]

Subtract sides minus 5p

[tex]5q = 6 + 8p - 5p[/tex]

[tex]5q = 3p + 6[/tex]

Divided sides by 5

[tex]q = \frac{3p + 6}{5} \\ [/tex]

a = 3 , b = 6 , c = 5

They're all positive.

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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