Triangle XYZ has vertices X: (0,2) Y: (3,8), and Z: (6,2). Show that the triangle is isosceles by determining the length of each side.



Please help!!!!

Answers

Answer 1

Answer:

given below

Step-by-step explanation:

formula used= [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  

XY= [tex]\sqrt{(3-0)^2+(8-2)^2}[/tex] = [tex]\sqrt{9+36} =\sqrt{45}[/tex]  (here x1=0, x2=3, y1=2, y2=8)

YZ= [tex]\sqrt{(6-3)^2+(2-8)^2}[/tex] = [tex]\sqrt{9+36} = \sqrt{45}[/tex]

ZX= [tex]\sqrt{(6-0)^2+(2-2)^2}[/tex] = [tex]\sqrt{36+0} = \sqrt{36}[/tex]

as you can see side XY=YZ=45

so triangle XYZ is an isosceles triangle

hope this helps :)


Related Questions

Which number line represents 3/2?

Answers

Answer:

C

Step-by-step explanation:

each box count as one box, since there's 3 the answer is C

Option C is the only line that represents 3/2

At the beginning of spring, Sophia planted a small sunflower in her backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 3 inches per week. How tall would the sunflower be after 9 weeks? How tall would the sunflower be after
w
w
w weeks?



Please include both awnsers this costed lots of points :/

Answers

The plant would grow 27 inches taller which means the plant would be 52 inches after the 9 weeks
25 + 3(9)
which also means:
25 + 27 = 52

Sentence answer:
The sunflower grew 52 inches after 9 weeks.

Expression:
25 + 3(9)

Showing your work:
3(9) = 3 x 9
= 27
27 + 25 = 52 inches

The scatter plot below compares the number of hours of sleep that students got the night before an oral report to their grades on the report. Which statement is true about the line of best fit drawn on the graph below?

Answers

Answer:

B

Step-by-step explanation:

The line of best fit is supposed to be close to most points, with the exception of the outliers. B is correct because the line of best fit shown comes close to most points.

I think the correct answer is B but I’m not so sure

PLEASE HELP I NEED TO GET MY GRADE UP!!

Find the commission

Answers

Commission Rate * sales = commission amount

6% of 750 =$45
6% of 750= $45 hope this helps:)

The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25 centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally, choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.
Saturn is shown as an example. To find what Saturn’s size would be after adjusting it to scale, follow these steps. Let the scaled diameter of Saturn be d centimeters. If Jupiter’s diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn’s diameter of 120,536 kilometers will be scaled to about 21 centimeters:
142,984/25 = 120,536/d
d = 120,536×25/142,984
d ≈ 21 cm
Is there any other way to describe this or solve this? I re-read it multiple times and I still don't get it.

Answers

Step-by-step explanation:

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nstewie

11/12/2021

Physics

High School

answered

The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25

centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to

find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally,

choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.

Saturn is shown as an example. To find what Saturn's size would be after adjusting it to scale, follow these steps. Let the

scaled diameter of Saturn be d centimeters. If Jupiter's diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn's

diameter of 120,536 kilometers will be scaled to about 21 centimeters:

120,536

d

120,536x25

142,984

d ~ 21 cm

Use this process to complete the table.

142,984

25

1

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92 answers

4.3K people helped

Answer:

Mercury:

.85

pea

Venus:

2.1

gumball

Earth:

2.2

gumball

Mars:

1.2

marble

Uranus:

9

grapefruit

Neptune:

8.6

softball

what should I eat for lunch?

Answers

Answer: You should eat pizza for lunch

Step-by-step explanation:

Answer:pizza rolls

Step-by-step explanation:because that’s the only reasonable answer

Last question of today (hopefully)

Your local bank offers free checking for accounts with a balance of at least $500.suppose you have a balance of $516.46 and you write a check for $31.96 how much money do you need to deposit to avoid being charged a service fee. You must include in your answer the inequality and the amount you must add if you don’t add those two things your work will result in a 0 so please show all work have a good night everyone.

Answers

Answer: $15.50

Step-by-step explanation:

First, we need to find your balanced after writing the check:

$

516.46

$

31.96

=

$

484.50

Now to find out how much you need to deposit we need to determine how much under $500 your bank account balance is. We do this by subtracting your current balance from $500:

$

500.00

$

484.50

=

$

15.50

You need to deposit at least

$

15.50

to avoid being charged a service fee.

Answer:

Step-by-step explanation:

$516.46 - $31.96 = $484.50

$500.00−$484.50=$15.50

Answer: 15.50

A new health drink has 150​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 40 mg. How many milligrams of the vitamin are in the​ drink?

Answers

Answer:

60mg

Step-by-step explanation:

60 mg
Hope this helps:)

what is 2^-5 ÷ 2^5 simpllified

Answers

Is either 2^-10 or 1/1024
2^-5 |2^5
=2^-5-(5)
=2^-10 (ans)

Please answer I don't know what to do?

Answers

Answer:

its 80

Step-by-step explanation:

i studied this back in 6th grade

Can I get help on transversals of parallel lines: name angles pairs and solve the x thank you!

Answers

for the measure of FLI you have to solve for x using this equation:
7x - 13 = 6x + 8
this is because they are alternate exterior angles.
i got x = 21
if you plug it in to 7x - 13,
FLI = 134

Answer: Right Angles are 90*----Obtuse Angles are over 90*----The last Angle is small and below 90*

Learn more about angles at http.brainly\questions\answers

Thank You!

[tex]((5)^{2} +(7)^{0} )*(5^{3}) /(\frac{5}{3} )^{-1}[/tex]
if possible please provide a step by step explanation for my understanding :)

Answers

Answer:

16250/3 or 5416.6666...

Step-by-step explanation:

((5)^2 +(7)^0) * (5^3)/(5/3)^-1

Step 1: You need to solve the numbers in the brackets first.

(5)^2 = 25  You do 5*5=25

(7)^0 = 1    Every number to the power 0 is equal to 1

(5^3) = 125  You do 5*5*5=25*5=125

(5/3)^-1 = (3/5)   Since it is a fraction to the negative power, to remove the negative you do the reciprocal of the fraction which is putting the denominator as the numerator and the numerator as the denominator. Then you are left with (3/5)^1 and every number to the power one is that number.

Now we are left with (25+1) * 125/(3/5)

We still have (25+1)=26  We don't solve the (3/5) because the brackets is there to show that 26*125 is being divided by the fraction 3/5 not being divided by 3 then 5.

So with all the brackets solved

Step 2: Now you do the multiplication

26*125/(3/5)

26*125=3250    You get 26*125 as it is the only multiplication.

Now we are left with 3250/(3/5)

Step 3: You solve the division

3250/(3/5)      When you have a number divided by a fraction you                    

=3250*(5/3)    must change it to multiplication by doing the reciprocal        

=16250/3        of the fraction (defined in step 1) and change from doing

      or              division to multiplication. Then you multiply the                     = 5416.66...    numerators (3250*5=16250) and you are left with 16250/3.

If you want it in decimals you divide the numerator to the denominator 16250/3=5416.66...

The answer is 16250/3

4 to 7 please helpppppppppppppppp thanks

Answers

Step-by-step explanation:

4. P=2*(5+7)=2*12=24 ft

S= 5*7=35 ft

5. P=2*(3+8)=2*11=22 cm

S= 3*8=24 cm

6. P=2*10+12=20+12=32 m

S= 12*8/2=48 m

7. P=12+13+5=30 in.

S= 12*5/2=30 in.

This is the answer (a=area, p=perimeter)

Tracy McGrady is a former NBA basketball player, He played in 938 games in the NBA, scoring a total of 18,381 points. Complete the ratio to express the number of points he scored per game as a unit rate. Round the number of points to the nearest tenth.

answer : __ points in 1 game.

Answers

Answer:

19.6:1

Step-by-step explanation:

18,381 divided by 938 = 19.5959488273 (19.6)

19.6:1  (19.6 points in 1 game)

Answer: 19.6 points in 1 game

Step-by-step explanation:

Divide the total points by the number of games played.
18,381/938 = 19.5959488273 and if you round it to the nearest tenth, it is 19.6

A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the​ car?

Answers

Answer:

65%

Step-by-step explanation:

To find the specific percentage of people who were completely satisfied, you first need to find the total number of people who took the survey. This number turns out to be (by adding the number of people per each category together) 2,500 people.

Then, to find the percentage that were completely satisfied, divide 1,625 (people completely satisfied) by 2,500 (total people), to get 0.65.

This converted to a percentage is 65%.

Hope it helps! :)

The person above me explained it the best

Factor the expression completely
51xy − 34xy2

Answers

The answer is 17xy * (3-2y)

Judith's office recycled a total of 32 kilograms of paper over 16 weeks. After 46 weeks, how many kilograms of paper will Judith's office have recycled? Solve using unit rates.

Answers

92 because 1 week= 2kg Myltiply that by 46 u get 92

Can someone please help this assignment is due soon! It would be great for the answer!

Answers

Answer:

x = 10

Step-by-step explanation: (I'm not too sure if this is correct because this was last year's math unit for me)

9x+30=12x

-9x        -9x

30=3x

30/3=10

x=10

Both of the answers are x =10

Which expression represents the following?
Two more than five times the difference of eleven and eight

1. 2+5(11-8)
2. (2+5)x(11-8) incorrect
3. 2+5(11+8)
4. (2+5)x11-8

Answers

Number 1 is correct. Two more = 2+, 5 times = 5 x, difference of eleven and eight=11-8 so therefore 2+5(11-8)
2+5(11-8) that is the answer

Will mark brainliest!!! Just help please!!!!

Answers

The line passes through (0, 2) and (1, 0)

Slope = m = (0 - 2) / (1 - 0) = -2

y = mx + b

y = -2x + b

Plug in (0, 2) to find b

2 = -2(0) + b

b = 2

y = -2x + 2

Y=mx+b this answer for the question

help please it would be appreciated

Answers

Answer:

C = 43.96

Step-by-step explanation:

3.14 ( pi) * d (diameter)

3.14 * 14 = 43.96

C = 43.96

Question Evaluate 8x−y²−3 when x=−1/4 and y=3

Answers

Answer: -14

Step-by-step explanation:

Plug in the x and y value. 8(-1/4)-3^2-3

-2-9-3=-14

Answer:

-14

Step-by-step explanation:

helpp
Jonathan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3 hours and charged him $141 for parts. The total was $336. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answers

Answer:   x = 65

================================================

Work Shown:

x = cost of labor per hour

3x = cost of the 3 hours of labor

3x+141 = cost of labor plus parts = total cost

3x+141 = 336

3x = 336-141

3x = 195

x = 195/3

x = 65

The hourly wage is $65 per hour for labor.

------------

Check:

1 hour = 65 dollars in labor costs

3 hours = 3*65 = 195 dollars in labor costs

195+141 = 336 dollars total

The answer is confirmed.

195 is the answer
336-141=195

Rewrite 6 2/5 as a decimal number.

Answers

Answer:

6⅖ as a decimal number is 6.4

Step-by-step explanation:

6⅖ =     [tex]\frac{32}{5}[/tex] (6×5=30   30+2=32)   = 6.4

6 2/5 in decimal notation has 1 decimal place. That is, 6 2/5 as decimal is a terminating decimal.

6 2/5 as a decimal = 6.4

This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
What is the value of −4×312÷(−6)?

Answers

The Awnser is positive 208 because of pemdas
the answer is 208, because of pemdas

Meghan made $458 in her last paycheck. If she would like to save at least $175 of it, how much can she spend? (Make an inequality)

Answers

Answer:

458 - x ≥ 175

Step-by-step explanation:

If you subtract 458-175 you get 283 so that how much Megan can spend.

Answer: 458 - x ≥ 175

A restaurant customer left 1.10​$ as a tip. The tax was 6% and the tip was 10​% of the cost including tax.

a. Which information is not needed to compute the bill after tax and​ tip?

b. What was the total​ bill?

Answers

Answer:

  a) not needed: C. the tax was 6%

  b) $12.10

Step-by-step explanation:

You want the total bill including tax and tip, given that the tax was 6% and the tip was $1.10, which was 10% of the after-tax amount.

a) Not needed

To compute the total bill, we only need to know the tip percent and the amount on which the tip is computed. Here, the tip is computed after tax is added, so we do not need to know the tax rate.

b) Total bill

From the tip amount, we know ...

  bill with tax · 10% = $1.10

Solving for the bill with tax, we find ...

  bill with tax = $1.10/0.10 = $11.00

Then the total bill is ...

  total bill = bill with tax + tip

  total bill = $11.00 + 1.10 = $12.10

The total bill was $12.10.

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Isaiah randomly surveyed 20 of his classmates to find out how many cousins they have. The results of the survey are shown in the table. Survey Based on the results in the table, which statements about a randomly chosen classmate of Isaiah's are true? Select TWO correct answers.

Answers

Answer:

Couldn't tell you if I wanted to

Step-by-step explanation:

You didn't provide all of the necessary information. You're missing the graph and it seems like this is supposed to be a multiple choice question. Therefore, I cannot help you and neither can anyone else.

Find the missing length.

Answers

Answer:10

Step-by-step explanation: w x l = a 155/15.5=10

The missing length is 10

Two data sets and their mean absolute deviations are shown.

Study the plots of each data set, and then use the drop-down menus to answer the questions below.

Answers

Answer:

Step-by-step explanation:

Use internet to read a graph

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