If the measure of angle ABD is 100, what is the measure of angle ABC

Answer: 12  is the least common denominator

Step-by-step explanation:

The least common denominator is the greatest multiple that the two denominators share.

So find the multiples of 4 and 6.

LCM of 4.  is 4 ,8 ,12,16,20,24, 28,32,

LCM of 6 is 6,12,18,24,30,36, 42,48  

The first multiple that they share is 12

Answer:

5945

Step-by-step explanation:

The sum for an arithmetic series is given by the formula:

[tex]S=(x_1+x_k)\cdot\frac{k}{2}[/tex]

Where x₁ is the initial term, x_k is the last term, and k is the number of elements in the series.

From the sequence, we can see that the first term is 32. The last term is 113.

To determine how many elements we have, subtract 113 and 32:

[tex]113-32=81[/tex]

However, we must add 1 to this number since this doesn't include the first term. Thus:

[tex]81+1=82[/tex]

So, there are 82 terms in total.

Therefore, our sum is:

[tex]S=(32+113)\cdot\frac{82}{2}[/tex]

[tex]S=(145)\cdot 41=5945[/tex]

Answer:

5945

Step-by-step explanation:

an = a1 + ( n - 1) 1

a1 = first term

n = number of terms

an = last term

113 = 32 + ( n - 1 ) 1

113 = 32 + n -1

113 = 31 + n

n = 113 - 31

n = 82.

Sn = n/2(a1 + an)

S82 = 82/2 (32 + 113)

S82 = 41 (145)

S82 = 5945.

Answer:

1.0 x 10⁵

Step-by-step explanation:

10,000 • 10 = 100,000

= 1.0 x 10⁵

Answer:

All together:

D:(-∞,∞)

R:(-∞,2]

Individually:

D: (-∞,-2], (-2,∞)

R: (-∞,-2], y=2

Step-by-step explanation:

So the way I like to think about Domain and Range is that the Domain is the set of real numbers which can be put into a function and the Range is the set of real numbers which you can get out from a function.

Looking at your given function, it looks like the piece-wise parts are f(x)=x and f(x)=2. Neither one of the functions has domain restrictions (you can plug anything into the first and second without getting any mathematical errors [like a 0 in the denominator]). And since the graph shows arrows in each end, indicating infinite continuation of the curve, the Domain is (-∞,∞).

Now for the outputs of each function, we can see that you'll be getting any number out for the f(x)=x portion. But, the f(x)=2 portion will always give you 2 for any input. So the Range is (-∞,2).

Now I'm honestly not too sure what the HW is asking you to do with this info... for the first part, maybe they want the individual domain and range values for each piece of the piece-wise while the second part asks for the overall? You might know what it's asking better then me since it's your class.

I'll include the overall and individual answers above. Comment with any questions.

Answer:

x=y

Step-by-step explanation:

Collect Like terms from 2x+3y=5y

Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)

2x=5y-3y

Simplify

2x=2y

Simplify

x=y

Answer:

15

Step-by-step explanation:

20-5=15

Answer:

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Step-by-step explanation:

Given

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

Required

Express the rate as per hour

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

There are 168 hours in  a week;

So, the rate becomes

[tex]Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}[/tex]

[tex]Rate = \frac{91\ fl\ oz}{420\ hours}[/tex]

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Hence;

The equivalent of the given rate is [tex]0.2167\ fl\ oz/hour[/tex]

Answer:

x = 8

Step-by-step explanation:

3+x/8=4

We move all terms to the left:

3+x/8-(4)=0

We add all the numbers together, and all the variables

x/8-1=0

We multiply all the terms by the denominator

 x-1*8=0

We add all the numbers together, and all the variables

x-8=0

We move all terms containing x to the left, all other terms to the right

x=8

Steps to solve:

-6 + 2[6 + 4((-3)^2 - 7)]

~Solve exponent

-6 + 2[6 + 4(9 - 7)]

~Solve whats in parenthesis

-6 + 2[6 + 4(2)]

~Multiply

-6 + 2[6 + 8]

~Add

-6 + 2[14]

~Multiply

-6 + 28

~Add

22

Best of Luck!

Answer:

90%

Step-by-step explanation:

3/30 not working

3/30%=3/30x100

=>10%

% of computers working 100%-10%=90%

Answer:

87

Step by step explanation:

(6)(16) - [tex]3^{2}[/tex]

96 - [tex]3^{2}[/tex]

96 - 9

87

Answer:

Answer: G

Step-by-step explanation: Points are coplanar if they lie on the same plane.

So, G would be a coplanar point with E, F, and H.

Answer:

G

Step-by-step explanation:

i just took the test and got it right! (:

Let's look at the multiplication exponent rule.

[tex]x^a*x^b=x^{a+b}[/tex]

Meaning that the exponents will add together when the same base is multiplied.

[tex]3^4*3^5=3^{4+5}=3^9[/tex]

Hope this helps.

頑張って!

Answer:

19683

Step-by-step explanation:

3x3x3x3= 81

3x3x3x3x3=243

81x243=19683

Answer:

$2.85 per hour

Step-by-step explanation:

Answer:

I think the answer is 35 or are trying to find how much is in and hour

Answer:

256

Step-by-step explanation:

Multiply 16 by 16.

You bet 256, right?

The answer is 256 now.

Hope it helps!

Formula: multiply number you have x number you have.

Answer:

3

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We are given the equation:

[tex]a=2x+6xz[/tex]

And we want to solve for x.

On the right-hand side, we can factor:

[tex]a=x(2+6z)[/tex]

And divide both sides by the factored expression. Hence:

[tex]\displaystyle x=\frac{a}{6z + 2}[/tex]

And we're done!

Answer:

x=a/2(1+3z)

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

37

▹ Step-by-Step Explanation

Plug in 4 for z:

10(4) = 40

Subtract:

40 - 3 = 37

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction

A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.

So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about ray here;

https://brainly.com/question/13194809

Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

Answer:

The slope of the line.

Step-by-step explanation:

In other words, SLOPE is the VERTICAL change between any two points divided by the HORIZONTAL change in any two points.

Answer

The constant rate of change of a line is also called what

...SLOPE...

Answer:3 to 10

Step-by-step explanation:

Answer:

the answer is 1/6.......

Answer:

9

Step-by-step explanation:

We see that we have 9 zeros.

We use the base 10 system to help us solve.

When we multiply anything by 10, we simply move the decimal place to the right.

Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹

Answer: 144

Step by step: In order to solve this easily, you should convert 3/5 into a decimal. In order to do that, you have to divide the numerator by the denominator. 3 divided by 5 = 0.6. Then you multiply 240 by 0.6 to get your answer, 144.

Answer:

should have dded like variables first

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

3x+2x-6=24

add 3x and 2x this gives 5x

5x-6=24

then add the 6 to 24

5x=30

then divide both sides by 5

then X=6

Answer:

where is the graph

Step-by-step explanation: