Segment addition postulate help

Answer:

15

Step-by-step explanation:

AC is the entire line segment.

AB and BC together make AC.

⇒ AB + BC = AC

⇒ [tex](2x+2)+(3x+6)=23[/tex]

Open the parentheses

[tex]2x+2+3x+6=23[/tex]

Combine like terms

[tex]5x+8=23\\5x=15\\x=3[/tex]

Therefore, x=3. Plug this into 3x+6 to find BC:

[tex]3x+6\\= 3(3)+6\\=9+6\\=15[/tex]

Therefore, BC is 15.

I hope this helps!

Answer:

probability is 1/2

Step-by-step explanation:

multiples of 3 that will occur in standard dice = 3,6

hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:

3/6 = 1/2

Step-by-step explanation:

3a(2a+6b)

3a×2a+3a×6b

6a²+18ab

Answer:

mean 11.14

Median 10

mode 10.

Explanation

Mean is sum of data divide by number of data.

Mode is the most appearing number.

Answer:

86m

Step-by-step explanation:

Area of rectangle = length x breadth

Area of rectangle = 6364m²

Breadth of rectangle = 74m

6364 = length x 74

length x 74 = 6364

length = 6364/74 = 86m

Step-by-step explanation:

Answer-

b) 1

Answer:

(m-n)

Step-by-step explanation:

1st expression=

[tex] = {m}^{2} - {n}^{2} \: \: \: \: \: \: \: \: \: \: [/tex]

=(m-n) (m+n)

2nd expression=

[tex] ({m - n})^{2} [/tex]

=(m-n)(m-n)

therefore H.C.F=(m-n)

taking common (m-n)

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](0,\infty)[/tex]

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

Explanation:

I'm assuming the function is [tex]f(x) = 2(3)^x[/tex] which is an exponential function.

The domain of any exponential function is the set of real numbers. In interval notation, the domain is [tex](-\infty, \infty)[/tex] which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.

The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation [tex](0,\infty)[/tex]

----------

Summary:

Domain: [tex](-\infty,\infty)[/tex];  Range: [tex](0,\infty)[/tex]

So that's why the answer is choice A

The domain and range of the function f(x)  are  (-∞, ∞) and  (-∞, ∞) respectively.

A relation is a function if it has only One y-value for each x-value.

The function f(x) = 2(3x) can be simplified to f(x) = 6x.

The domain of a function is the set of all possible input values for x, while the range is the set of all possible output values for f(x).

Since there are no restrictions on the value of x that can be plugged into the function, the domain of f(x) is all real numbers, or (-∞, ∞).

To find the range, we can look at the behavior of the function as x varies. As x increases or decreases, the value of f(x) also increases or decreases, respectively, at a rate of 6 times the rate of change of x.

Therefore, the range of f(x) is also all real numbers, or (-∞, ∞).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ5

One

Is it 2x-3x+8=0,right?

Answer:

D. 0

Step-by-step explanation:

the answer to the equation is 0

3.  

Find the number of real number solutions for the equation. x2 – 3x + 8 = 0

cannot be determined

1

2

0

Answer:

8

Step-by-step explanation:

10/(5/4) = 8

1 1/4 = 5/4

Answer:

put n = 5

A(5)= 2700+(5-1)*0.015*2700=

Answer:

option 1. -10

Step-by-step explanation:

—8 – 4x > 1

adding 8 on both sides,we get

-8-4x+8>1+8

-4x>9

by dividing both sides by -4, we get

-4x/-4<9/-4

x<-2.25

Hence, from the above option only -10 is smaller than -2.25. Therefore your answer is option 1.

I hope it helped U

stay safe stay happy

Answer:

6

Step-by-step explanation:

x = area to be painted

y = gallons of paint needed

we know already one point of that function/graph :

x = 800

y = 2

so, for a simple relationship between the 2 variables we can assume

y = ax

2 = a×800

a = 2/800 = 1/400

so, we get

y = (1/400) x

for 2400 ft²

y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6

she needs 6 gallons of paint for 2400 ft².

6 gallons of paint are required to cover 2400 ft² area.

Graph options aren't given ; however, we could still obtain the required solution using the information given :

2 gallons covers 800 ft²

Let the number of gallons to cover 2400 feets = x

Using cross multiplication :

2 gallons = 800 feets

x gallons = 2400 feets

Cross multiply :

800 × x = 2400 × 2

800x = 4800

Divide both sides by 800

x = 4800 / 8

x = 6

Hence, 6 gallons of paint are required to cover 2400 ft².

Learn more : https://brainly.com/question/18109354

1:-

[tex]\\ \sf\longmapsto m+15[/tex]

2:-

[tex]\\ \sf\longmapsto x+6[/tex]

3:-

[tex]\\ \sf\longmapsto r-8[/tex]

4:-

[tex]\\ \sf\longmapsto \dfrac{3}{4}x=\dfrac{3x}{4}[/tex]

5:-

[tex]\\ \sf\longmapsto n(n-1)(n-2)=n![/tex]

6:-

[tex]\\ \sf\longmapsto n+(n+2)=2n+2[/tex]

A = {0, 1}

B = {2, 3, 4}

C = {3, 5}

Then we have

A × (B U C)

= {0, 1} × {2, 3, 4, 5}

= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}

and

(A × B) U (A × C)

= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}

(underlined pairs are duplicates and common to both A × B and A × C)

= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}

and these two sets are clearly identical.

Answer:

-21/22

Step-by-step explanation:

1.Apply fraction cross multiply

2. Simplify

3.Expand

4.Subtract 24 from both sides

5.simplify

6. Subtract 18x form both sides

7.Simpiify, then divide both sides by -22to get answer.

Answer:

[tex]x = - 3[/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

Write the system

[tex]3x - y = - 10[/tex]

[tex]x + y = - 2[/tex]

Solve by Elimination.

multiply the second equation by -3.

[tex]3x - y = - 10[/tex]

[tex] -3x - 3y = 6[/tex]

Add the Equations.

[tex] - 4y = - 4[/tex]

[tex]y = 1[/tex]

Plug this back in one of the equations.

[tex]x + 1 = - 2[/tex]

[tex]x = - 3[/tex]

Answer:

x = -3

y = 1

Step-by-step explanation:

3x - y = -10

x + y = - 2

x + y = - 2

x = -y - 2

replacing in other equation

3(-y - 2) - y = -10

-3y - 6 - y = - 10

rearranging the equation

-3y - y = = -10 + 6

-4y = -4

y = 1

putting this value in first eqn we get

x - y = -2

x - (1) = -2

x = -2-1

x = -3

Answer:

3?

Step-by-step explanation:

im not sure tho

Answer:

-2h =6-15

-2h =-9

h=-9/-2

h=4.5

Step-by-step explanation:

Answer:

Q1: 14

Q2:Yes

Step-by-step explanation:

Q1: 172.5-25.5=147

147/10.5=14

Q2: 22.50+10%=24.75

24.75-20%=19.8

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

Answer:

coplanar

Step-by-step explanation:

coplanar means that they lie on the same plane.

Answer:

I think the answer is coplaner

Answer:

166.25

Step-by-step explanation:

12 1 /4 + 154

166 1/4

665/4 , 166.25

Hey there!

12 1/4 + 11.14

= 49/4 + 11.14

= 12.25 + 11.14

= 23.39 or 23 39/100

Answer: 23.39 or 23 39/100

Good luck on your assignment and enjoy your enjoy your day!

~Amphitrite1040:)

Answer:

D

Step-by-step explanation:

Answer:

27 square are there in the given figure

Hi ;-)

[tex]\text{s}=-8 \ \text{and} \ \text{t}=\frac{3}{4}\\\\\text{s}^2\text{t}-10=(-8)^2\cdot\frac{3}{4}-10=\\\\=64\cdot\frac{3}{4}-10=16\cdot3-10=48-10=\boxed{38}[/tex]

Answer:

it should -1 because you have to evaluate the number

Answer:

91,25

Step-by-step explanation:

the step by step is on the picture! :)

Answer:

WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.

hope this helps!