find value of x and YZ if Y is between X and Z
XY=2x+1, YZ =6x, and XZ=81

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

Applying the segment addition theorem, the value of x = 10

YZ = 60

What is the Segment Addition Theorem?

The segment addition theorem states that if a point, C, lies between two endpoints of a segment, A and B, then: AC + CB = AB.

Given:

XY = 2x+1

YZ = 6x

XZ = 81

Thus:

XY + YZ = XZ (segment addition theorem)

2x + 1 + 6x = 81

Find x

8x = 81 - 1

8x = 80

x = 10

Find YZ:

YZ = 6x

Plug in the value of x

YZ = 6(10)

YZ = 60

Therefore, applying the segment addition theorem, the value of x = 10

YZ = 60

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Related Questions

Find the ÷98 and place a point on the # line​

Answers

Answer:

Draw a number line starting with -100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, all the way to 0. Then put a point mark at where the -98 would be.

The number line shows the record low temperatures for four states.. what is the difference, between the low temperature in Hawaii and the low temperatures In south Dakota
A -70°F
B -46°F
C 46°F
D 70°F​

Answers

Answer:

D 70°F

Step-by-step explanation:

Difference between temperature in Hawaii and in South Dakota is 12°F - (-58°F) = 12°F + 58°F = 70 °F

2.
Mr. Champion has 14 fruit trees.
He has 1 apple tree and 1 plum tree, and the rest are divided evenly
among apricot, pear, and peach trees.
Last Thursday, Mr. Champion picked 6 apricots from each apricot
tree, 10 peaches from each peach tree, 3 pears from each pear tree, and 4
apples from the apple tree.
How many pieces of fruit did Mr. Champion pick last Thursday?
(Show your work)

Answers

Answer: 80 pieces of fruit

Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.

Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree

This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked

24 + 40 + 12 + 4 = total pieces of fruit picked

Now, you add up those four numbers, and you have your answer, 80.



Hope this helps!

find the derivation of the given equation f (x) =7
pllz batao??​

Answers

Answer:

0

Step-by-step explanation:

the derivative is zero since it has no variable

Answer:

0

Step by step explanation:

f'(x)=lim f(x+h)-f(x)/h

now since 7 is constant with no variable

f'(x)= lim(7-7)/h

f'(x)=0

The bar graph shows the z-score results of four students on two different mathematics tests. The students took Test 1 and then, a month later, took Test 2. Which student had the lowest score on Test 2? Euan Felicia Dave Carla

Answers

Answer:

euan had lowest score on test 2

The student with lowest score on test 2 is Euan.

What is bar graph ?

Bar graph is used for the graphical representation of data or quantities by using bars or strips.

Here,

The z-score results of four students on two different mathematics tests is represented by the given bar graph.

Calculating the scores of each students for the two tests respectively.

1) Carla

Test 1: 0.75

Test 2: -0.5

2) Dave

Test 1: -0.5

Test 2: 1

3) Euan

Test 1: 0.25

Test 2: -1

4) Felicia

Test 1: 1.25

Test 2: 1.5

Hence,

The student with lowest score on test 2 is Euan.

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#SPJ3

For the given annual rate of change, find the corresponding growth or decay factor. + 300%​

Answers

Answer:

50% growth would would be (1 + .5)^ n

and 100% growth would be (1+ 1)^n

I assume that the answer would be (1+3)^n

for 300% growth the factor would be 3

Step-by-step explanation:

A team wishes to purchase 10 shirts of the same color. A store sells shirts in 3 different colors. What must the inventory of the store be in order to conclude that there are at least 10 shirts in one of the three colors?

Answers

Answer:

30

Step-by-step explanation:

look at the image below forr the question plz

Answers

Answer:

[tex]308 \ m^3\\[/tex]

Step-by-step explanation:

The volume of a three-dimensional shape is the amount of space the figure takes up. This can be found by multiplying all of the dimensions of a figure together. In essence, the following formula can be used to find the volume.

[tex]A=l*w*h[/tex]

Where (l) represents the figure's length; (w) is the width: and (h) the height. Substitute the given values into the formula and solve for the volume.

[tex]A=l*w*h[/tex]

[tex]A=7*4*11[/tex]

Simplify,

[tex]A=7*4*11[/tex]

[tex]A=28*11[/tex]

[tex]A=308[/tex]

Rectangle with the dimensions of 2 2/5 wide and 4 1/8 long what is the area

Answers

Answer:

10 5/16

Step-by-step explanation:

2 2/5 x 4 1/8 = 10 5/16

Can anyone help? I am terrible at math!!

Answers

Yes, for example if a equals 1 and b equals 0.

Please help me out with this geometry

Answers

Answer:

[tex](x-[-7])^{2} +(y-[9])=[25][/tex]

Step-by-step explanation:

Center (h,k) = (-7, 9)

Radius, r = 5

Equation: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

[tex](x-(-7))^{2} +(y-9)^{2} =(5)^{2}[/tex]

[tex]5^{2} =25[/tex]

So, [tex](x-(-7))^{2} +(y-9)=25[/tex]

OAmalOHopeO

Determine the value of x

Answers

Answer:

[tex]6\sqrt{3}[/tex]

Step-by-step explanation:

using the sine rule,

[tex]\frac{sin 60}{x} = \frac{sin 30}{6} \\x=\frac{sin60 * 6 }{sin30} \\x=6\sqrt{3}[/tex]

if 25 liters of milk can make 8 tin of cheese how many liters of milk would b needed to make 11 tin of cheese? ​

Answers

Answer:

Step-by-step explanation:

34.375 Liters of milk make 11 tins of cheese. Assuming that milk is available in whole liters only, 35 Liters of milk are needed.

What is the domain of this graph? ​

Answers

Answer:

the domain is all real numbers

The retail of a price of an LCD TV was $7000 what was the original price before the GST of 10% was added?

Answers

Answer:

$636.36

Step-by-step explanation:

7000 = 110% of total cost

Try to get it to 100 percent

700/11 = 63.(63)

63.(63)*10= 636.36

I need help Plz help

Answers

2 Eyes =2*(1*1/2)/2 = 0.5ft^2
Nose = ((1+1/2)*1)/2 = 0.75^2
Mouth = 3*(1ft/2)/2= 0.75ft^2
Board = 2/2/3*3 =8ft^2
Area = 8-0.5-0.75-0.75 = 6ft^2

1 simplify 6x64 ÷ 16 +7-21​

Answers

Answer:

10

Step-by-step explanation:

Two points are plotted on a number line: -11.2 and 3.3. What is
the distance between these two points?

Answers

So if you are thinking about a number line you are starting at +3.3 then going in the negatives direction to -11.2
To find the difference you would just subtract. 11.2 - 3.3 = -7.9
-7.9 is the answer

simplified the expression y(y2 - y + 4)

Answers

Answer:

y^3 -y^2 +4y

Step-by-step explanation:

y(y2 - y + 4)

Distribute

y^3 -y^2 +4y

What is the length of the diagonal of a rectangle with the base of 4 and an altitude of 3

Answers

Answer:

5

Step-by-step explanation:

Use the Pythagorean Theorem

C^2=a^2 + b^2

c^2= 3^2 + 4^2

c^2= 9+16

c^2= 25

The take the square root

c= √25

c = 5

I need to know the answer and explaining how to do it please

Answers

Answer:

Its 0.11

Step-by-step explanation:

When you divide any number by 10, you just move the decimal place one to the left, as for this number 1.1, you move it one place to the left which makes it 0.11. Mathmatically, to check your work you can do 0.11 x 10 to get 1.1

Mark brainliest and helpful

Help please!??!!?!?

Answers

9514 1404 393

Answer:

  a) CP = SP/1.1

  b) CP = $59.50

  c) GST = $5.95

Step-by-step explanation:

a) Divide by the coefficient of CP.

  SP = 1.1×CP

  CP = SP/1.1

__

b) Use the formula with the given value.

  CP = $65.45/1.1 = $59.50

__

c) You can do this two ways: subtract CP from SP, or multiply CP by 0.1.

  GST = SP -CP = $65.45 -59.50 = $5.95

  GST = CP×0.10 = $59.50 × 0.10 = $5.95

How many skirt-blouse outfits can a woman choose from if she has 5 skirts and 6 blouses?

Answers


She can have 30 different outfits/combinations

1) -9 + X = -4


Helpppppppp

Answers

Answer:

5

Step-by-step explanation:

-9 + x = -4

( move +x to right and -4 to left)

-9 +4= -x

[sign changes when number is moved]

-5= -x

[negative signs cancel out each other/ divide both sides by negative sign]

x = 5

What are Julie’s taxable wages as a data-entry operator if her withholding allowances total $1,500 and her annual gross pay is $24,500?

Answers

Julie's Taxable Wages:

Julie's taxable wages as a data-entry operator is:

= $23,000.

Data and Calculations:

a) Annual gross pay =           $24,500

Total withholding allowances = 1,500

Taxable wages (income) =  $23,000 ($24,500 - $1,500)

b) Julie's total withholding allowance of $1,500 is the total exemption that reduces how much income tax her employer can deduct from  Julie's paycheck.  This means that $1,500 will be deducted from $24,500, the gross pay, before arriving at her taxable income.

Thus, Julie's taxable wages represent the difference between her annual gross pay and her total withholding allowances.

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Lilly makes $6.35 using only 5 cemts coins.
How many 5 cent coins does she need?

Answers

Answer:

127

Step-by-step explanation:

turn $ 6.35 into 635 and divided by 5

fill in the missing. 1:1000=1cm:_?​

Answers

Answer:

meter

10 meters

Or

a dekameter

I need help on the decimal estimate can you tell me step by step please

Answers

∵-√150 is around 1/4 of the number line, and 1/4=0.25
∴-√150≈12.25

Hope my answer helped u :)

What is the purpose for post tests?

Answers

Answer:

The real reason of post test is to measure it's result in comparison to a pre test and determine d how much student has progressed over a term of instruction.



The intersection of plane A and plane S will be
The intersection of lines n and k is
Point X is the intersection of

Answers

Answer:

bjbjbfbdvdjbfv

Step-by-step explanation:

fdbfdvbdjv

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