Point C ∈ AB and AB=18 cm. The distance from C to A is 3 cm. shorter than the distance from C to B. Find AC and CB.

Point C AB And AB=18 Cm. The Distance From C To A Is 3 Cm. Shorter Than The Distance From C To B. Find

Answers

Answer 1

Answer:

AC=7.5 cm

CB=10.5cm

Step-by-step explanation:

Since we don't know the distance from C to B, we can label it as x. Our equation will be x+(x-3)=18. Simplify that so it is 2x-3=18. Add 3 to both sides and get 2x=21. x=10.5 So AC=7.5 cm and CB is 10.5 cm


Related Questions

12x−39≤9 AND−4x+3<−6

Answers

Answer:

2 1/4 < x ≤ 4

Step-by-step explanation:

12x−39≤9 AND−4x+3<−6

Solve them separately and then put back together

12x−39≤9

Add 39 to each side

12x−39+39≤9+39

12x ≤48

Divide by 12

12x/12 ≤48/12

x ≤4

Now the other inequality

−4x+3<−6

Subtract 3 from each side

−4x+3-3<−6-3

-4x < -9

Divide by -4, remembering to flip the inequality

-4x/-4 > -9/-4

x > 2 1/4

put back together

x > 2 1/4 and x ≤4

2 1/4 < x ≤ 4

Answer:

2.25<x≤4

Step-by-step explanation:

12x−39≤9 ⇒ 12x≤ 48 ⇒ x≤4

−4x+3<−6 ⇒ -4x < -9 ⇒ x> 9/4= 2.25

2.25<x≤4

or

x= (2.25, 4]


In a randomly generated list of numbers from 0 to 6, what is the chance that
each number will occur?
A. 1/8
B. 1/6
C. 1/7
D. 1/9

Answers

Answer:

1/7

Step-by-step explanation:

there are 7 number possibilities 0,1,2,3,4,5,6.

so if they each have an equal probability the answer is 1/7

Paige rolls a number cube sixty-four times. The number 4 comes up fourteen times. The number 3 comes up six times. Rounded to the nearest whole percent, what is the experimental probability of rolling a 3 or 4? %

Answers

Answer:

do you still need an answer

given that 7x+50=22 find x​

Answers

The value of X is -4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

x = - 4

Step-by-step explanation:

7x + 50 = 22

7x = 22 - 50

7x = - 28

x = - 28 : 7

x = - 4

Two standard six-sided dice are tossed. What is the probability of getting a 3 and a 5
P(3 and 5)

a)1/24
b)1/36
c)1/3
d)1/12

Answers

Answer:

1/36

Step-by-step explanation:

Getting a 3 is 1/6

Getting a 5 is 1/6

Multiply those and get 1/36

solve 5x^2-4x-2=0 by completing the square

Answers

Answer:

Hello

Here's the answer:

2x^2 + 5x + 2 = 0\\&#10;2x^2+4x+x+2=0\\&#10;2x(x+2)+1(x+2)=0\\&#10;(2x+1)(x+2)=0\\&#10;x=-\frac{1}{2} \vee x=-2

x^2-4x+1=0\\&#10;x^2-4x+4-3=0\\&#10;(x-2)^2=3\\&#10;x-2 =\sqrt3 \vee x-2=-\sqrt3\\&#10;x=2+\sqrt3 \vee x=2-\sqrt3

Step-by-step explanation:

What is the sum? 2/x^2+4/x^2

Answers

Answer:

\frac{2}{ x^{2} }  +  \frac{4}{ x^{2} } =  \frac{2+4}{ x^{2}}=  \frac{6}{ x^{2} }  

Step-by-step explanation:

When we add two expression in fraction we take Least common multiple of two expression  in the denominator

Here we have expression  

Now, we write a common denominator

rewrite the expression

Now, we combine the numerator 2+4 is equal to 6

So, we will get   = \frac{2}{x^{2}}+ \frac{4}{x^{2}} =\frac{6}{x^{2} }

Hope this helps!

Which equation represents a line which is parallel to y = 0?

A. y = 6
B. x = -5
C. y = x
D. y = x - 1​

Answers

Answer:

A. y = 6

Step-by-step explanation:

Y= 0 is equation of x - axis

 equation of any straight line which is  parallel to x-axis and at  distance of a from it is given y = c.

Therefore,  from the given option only option A y =6 is in form of y = a and hence is the correct answer.

_______________________________________

Also we know that for two lines to be parallel , their slope should be equal.

slope of line y = mx + c is m

slope of y = 0 here m = 0, hence slope is 0

out of the given option

only for y - 6 slope is 0 and hence it is the correct answer.

___________________________________

Enter an algebraic expression to model the given context. Give your answer in simplest form.

The principal amount P originally deposited in a bank account plus 0.6% interest

The algebraic expression is .

Answers

Answer:

p=0.006=1.006

Step-by-step explanation:

Google....

Can someone please help me out with this

Answers

Answer:

the answer is c

Step-by-step explanation:

i think the answer is c

Find the slope of the line

Answers

Answer:

2

Step-by-step explanation:

Line is passing through the points (2,0) & (0, - 4)

[tex]Slope \: of \: line \\ = \frac{0 - ( - 4)}{2 - 0} \\ = \frac{0 + 4}{2} \\ = \frac{4}{2} = 2 \\ [/tex]

2

You can find the two points on the graph where the line meet the points exactly on the corners
And then make a triangle
The use rise over run
Range/ domain y/x
To find it

NEED ANSWER FASSTTT
In a right triangle PQR , angle P is 40 degrees. If we decrease 10% of angle P, what will the percent change in angle R?

Answers

Answer:

here you go!

Step-by-step explanation:

The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3:2.

Lyonell has kept track of his income and expenses for the week in the spreadsheet below. How much did Lyonell spend on



theater tickets?



B



1 Transaction



Amount Total



2 Beginning balance



$430.57



3 Groceries



-$57.19



4 Rebate check



$15.00



5 Gas



-$22.30



6 Theater tickets



7 Paycheck



$377.82



8 Ending balance



$695.15



a $48.75



b. $117.24



C. $252.84



d. $381.82

Answers

Answer:

The correct option is A,$48.75

Step-by-step explanation:

The amount of spend on theater tickets is missing, however it can be computed  by using the below formula:

Closing balance=opening balance-cost of groceries+ rebate check-cost of gas-cost of theater tickets+ paycheck

$695.15=$430.57-$57.19+$15-$22.30-cost of theater tickets+$377.82

cost of theater tickets=$430.57-$57.19+$15-$22.30+$377.82-$695.15

cost of theater tickets=$48.75

Answer:

A on EDGE

Step-by-step explanation:

Match each function with its domain.

Answers

What you meant was range. The range scales from top to bottom. You can know this by graphing and practicing memorizing these function's domain and range.

Function:                  Range:

f(x) = -√x                    y ≤ 0

p(x) = ∛2-x          All real numbers

w(x) = 2 + √x             y ≥ 2

r(x) = -2 + √2-x          y ≥ -2

k(x) = 2 - √x               y ≤ 2

v(x) = √-x                   y ≥ 0

Answer:

Function:                  Range:

f(x) = -√x                    y ≤ 0

p(x) = ∛2-x          All real numbers

w(x) = 2 + √x             y ≥ 2

r(x) = -2 + √2-x          y ≥ -2

k(x) = 2 - √x               y ≤ 2

v(x) = √-x                   y ≥ 0

Which set of ordered pairs is a function?

Answers

Answer:the answer is {( -5,1),(-3,2),(-1,3),(1,4),(3,5)}

Step-by-step explanation: The x should not repeat

Answer:

1st 1

Step-by-step explanation:

What if the x repeats negative?

Avery had $25.38 in her wallet. If she bought lunch with 9 1/2 dollars from her wallet, how much money did she have in her wallet after lunchA.
$16.38
B.
$14.88
C.
$15.88
D.
$16.18

Answers

Answer:

C. $15.88

Step-by-step explanation:

$25.38-$9.50=$15.88

25.38 - 9.50= 15.88. Explanation: 9 1/2. 1/2=.50. 9 1/2 =$9.50

Are the events of drawing a rook from the bag of white

pieces and then drawing the king from the bag of

black pieces dependent or independent events? Find

the probability of this compound event.

Answers

Answer:

Independent events, 1/16

Step-by-step explanation:

What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.

Which means that they are independent events.

And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.

Check all of the points that are solutions to the system of inequalities.
y> 4x + 2
y< 4x + 5
A. (5, 26)
B. (-4, 20)
C. (4,21)
D. (5,24)

Answers

Answer:

A. = False

B. = False  

C. =  True

D. = True

Hope this helps


Find the next three numbers in the sequence: 6,7,9, 12, 16, ....

Answers

Answer:

21,27,34 i think

Step-by-step explanation:

Which is the solution to the inequality?
x < 1 / 2
X>
7
12
O X <1
12
XS1
12
3 1/2

Answers

X=8
I believe that would be ur answer! I hope i helped out

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

Set the numbers in order from least to greatest, then find the one in the middle, which will be the median.

19, 23, 42, 56, 67

42 is in the middle, so it is the median.

Sides& Angles of Triangles

Answer the following Questions

What can you tell about a triangle when given three side lengths?

What can you tell about the relationship between angles of a triangle and its sides ?​

Answers

Answer:

the area using heron's formula

the perimeter

please help due in ten minutes

Answers

Answer:

is there a graph included

Answer:

It's B

Step-by-step explanation:


What percent is equivalent to 1/25
O 4%
O 5%
O 20%
O 25%

Answers

Answer:

4%

Step-by-step explanation:

1/25 = 0.04 = 4%

It would equal to 4% because dividing that gives u 0.04

What is the median of the data set? 3, 17, 11, 8, 13, 5, 18​

Answers

The median is 11.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Simon used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 time
Color of Marble Number of Times Rolled
Blue
15
Green
19
Yellow
16
Heads Tails
26 24
Using Simon's simulation, what is the probability of pulling a blue marble and the coin landing
39
50

Answers

Answer:

360/2500

Step-by-step explanation:

the blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

Answer:

360/2500

Step-by-step explanation:

The following data points represent the number of hours each of the staff members at Daniel's Department Store slept on Thanksgiving night.

Sort the data from least to greatest.

Find the interquartile range (IQR) of the data set.

Answers

Answer:

3 hours

data from least to Greatest:

2.6, 3 , 4.9 , 5 , 5 , 6 , 6 , 7.9 , 8 , 8.2

Step-by-step explanation:

I got it from Khan Academy

The interquartile range (IQR) of the data set is 3.

The given data set is 5, 8.2, 6, 7.9, 5, 2.6, 3, 4.9, 6 and 8.

We need to find the interquartile range (IQR) of the data set.

How to find the interquartile range (IQR) of the data set?

To find the interquartile range (IQR), ​first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Now, the order of data from least to greatest is 2.6, 3, 4.9, 5, 5, 6, 6, 7.9, 8, 8.2.

Q1=4.9 and Q3=7.9

So, IQR=Q3-Q1

=7.9-4.9=3

Therefore, the interquartile range (IQR) of the data set is 3.

To learn more about the interquartile range visit:

https://brainly.com/question/4135956.

#SPJ2

The car my mom drives told her that she only has 5% of her gas tank before she runs out. If I know her tank holds 20 gallons of gas, how many gallons of gas does she have?

Answers

Answer:

1 gallon

Step-by-step explanation:

Answer - 1 gallon

Step by step explanation

Kevin made 12 5/6 bags of popcorn for a movie night with some friends. Together they ate 7 1/6 bags of it. How much popcorn was left?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 ⁴/6

Step-by-step explanation:

12⅚ - 7⅙ = 5 ⁴/6

12 - 7 = 5

⅚. -. ⅙ = ⁴/6

HOPE THIS HELPS! (:

4/6 is a fraction, it just looks funky

A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,
d
How long would it take for that train to cover 100 miles?

Answers

Answer:

x = 1 2/3 hours

Step-by-step explanation:

We can use ratios to solve

150 miles          100 miles

---------------- = ---------------

2.5 hours          x hours

Using cross products

150x = 2.5*100

divide each side by 150

150x/150 = 250/150

x = 1 2/3 hours

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