find the measure of abc

Find The Measure Of Abc

Answers

Answer 1
the measure of ABC is 21 degrees
Answer 2
Since it's a straight line, the whole line adds up to 180 degrees. Next, as x+6 and 10x+9 add up to 180 (supplementary angles), we have x+10x+9+6=11x+15=180. Subtracting 15 from both sides, we get 11x=165 and by dividing both sides by 11 we get x=15

Related Questions

A one-minute advertisement on a local television station during prime time (8- 10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones.

Answers

Cost = $12,800
Time = 2 hours, 8 - 10 pm

Cost per hour = ($12800)/(2) = $6400 per hour

There are 60*660 = 3600 seconds per hour.
Therefore the cost per second is
($6400)/(3600 s) = $1.7778 per second  = $1.78 per second (nearest cent)

Answer: $1.78 (nearest cent)
Final answer:

The cost of the advertisement per second is $213.33 to the nearest cent.

Explanation:

To find the cost per second of the advertisement, we need to convert the cost from dollars per minute to dollars per second. We can use dimensional analysis to do this.

First, we know that there are 60 seconds in one minute. So, we can set up a conversion factor to convert from minutes to seconds:
1 minute = 60 seconds

Next, we set up a ratio using the given cost per minute and the conversion factor:
$12,800/1 minute * 1 minute/60 seconds = $213.33/second

Therefore, the cost of the advertisement per second is $213.33 to the nearest cent.

Shawn wants to model the number 13,450 using base ten blocks how many large cubes flats and longs does he need model the number

Answers

1 small cube = 1 small cube
   
10 small cubes = 1 long
   
10 longs (or 100 small cubes) = 1 flat
   
100 flats (or 1000 small cubes) = 1 large cube
           
13,450 needs to be divided into groups (by number). Separate by thousands, hundreds, and tens. There are 13 thousands in 13,000. That leaves 450 remaining. 450 is 4 hundreds and 5 tens. 1 large cube is 1000 small cubes. 1000 * 13 = 13,000. You need 13 cubes, with a total of 450 remaining. 100 small cubes is 1 flat. 100 * 4 = 400. You need 4 flats, with 50 remaining. 10 small cubes are 1 long. 10 * 5 = 50. You need 13 cubes, 4 flats, and 5 longs.

a backpack manufacturer produces an internal frame pack and an one hour and let y represent the number of external frame packs produced in one hour.Then the inequalities x+3y<=18,2x+y<=16,x>=0 and y>=0 describe the constraints for manufacturing both packs.Use the profit function f(x,y)=50x+80y and the constraints given to determine the maximum profit for manufacturing both packpacks for the given constraints

Answers

The maximum, 1280, occurs at (0,16).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The inequality is,

x + 3 < 18

x < 15

And,

2x + y < 16

y < - 2x + 16

Now, you can see the constraint, x + 3 < 18 doesn't even enter into calculating the feasible region because the constraint, 2x + y < 16 really identifies the region.

Now, We can Check the value of the function at the three vertices as:

At (0,0):

f(x, y) = 50x + 80y = 0

At (8, 0);

f(x, y)=50x+80y

f (8, 0) = 400

At (0, 16);

f(x, y ) = 50x+80y

f (0, 16) = 1280

Thus,  The maximum, 1280, occurs at (0,16).

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Raj's hourly wage is 5.50. He already saved 68 dollars for a $200 video game system. How many hours does Raj need to work to earn the remainder of the money he needs to buy the video game system?

Answers

5.50x+68=200
5.50x=132
x=24
Raj needs to work 24 hours to earn the remainder of the money he needs to buy the video game system.

Your teacher divides your class into two groups and then randomly chooses a leader for each group the probability that you are chosen to be a leader is 1÷12 the probability that both you and your best friend are choosing is 1÷132 is your best friend in your group explain

Answers

Answer:

1 DIVIDED BY 12 IS 1 SO SAME THING WITH 1 DIVIDED 132 IS 132 SO ADD THEM AND YOU SHOULD GET YOUR ANSWER PS i dont know the answer

Step-by-step explanation:

No, my best friend is not in my group.

Let's break down the probabilities to determine if your best friend is in your group. The probability that you are chosen as a leader is [tex]\frac{1}{12}[/tex]. Let’s denote your best friend by BF. Given that the probability that both you and best friend are chosen as leaders is [tex]\frac{1}{132}[/tex], we need to check if BF is in your group.If your best friend is in your group, then there is only one leader to be chosen from this group. Hence, the probability that you and your best friend are chosen from the same group would be calculated by selecting the group leader and then the remaining leader from the other group.In this scenario, the probability of you and your best friend being chosen as leaders would typically depend on the group size and configuration.Since the probability of you both being chosen is [tex]\frac{1}{132}[/tex], this indicates that you are more likely not in the same group. If BF were in the same group, the probability would be calculated based on how likely both members are to be from the same group, considering the overall class size and number of groups.Thus, given the probability details, we can conclude that your best friend is not in the same group as you.

The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?

Answers

10 in; if the original 100% was 5 in, then you multiply that by 2. 

Answer: 10 in.

Step-by-step explanation:

Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.

We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]

Since , The original photo has a width of 5 in.

Then, the width of the copy will be :-

[tex]2\times5=10\ in.[/tex]

Hence, the width of the copy will be 10 in.

a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%. for what price does the salon sell each bottle

Answers

First of all you need to know what is the 40% of 4.50 you multiply
4.5 x 0.4 = 1.8
1.8 + 4.5 = 6.3 is your answer

The price the salon sells each bottle is 6.3 if a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.

What is percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

A beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.

From the question:

= 40% of 4.50

= 1.8

= 1.8 + 4.5 = 6.3

Thus, the price the salon sells each bottle is 6.3 if a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.

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kelly ate 7 apples. this represents 50% of the bag of apples. how many apples were originally in the bag

Answers

7 is the half of 14, so 14 apples
14 because 50% of 14 is 7

There are 111 guest attending a party there are 15 servers each server has the same number of guest to serve Jess will serve any extra guest how many guest will Jess be serving? Please help me

Answers

11 divided by 7 is the biggest factor.
So, each sever served 7 guests. Jess served 7+6 so 13.

Answer:  The required number of guests served by Jess is 13.

Step-by-step explanation:  Given that there are 111 guest attending a party there are 15 servers each server has the same number of guest to serve.

If Jess will serve any extra guest, then we are to find he number of guests served by Jess.

By division algorithm, we can write

[tex]111=7\times15+6\\\\\Rightarrow 111=7\times14+(7+6).[/tex]

So, 14 servers will serve 7 guests each and Jess will serve 7 guests along with extra 6 guests.

Therefore, the total number of guests served by Jess is given by

[tex]n=7+6=13.[/tex]

Thus, the required number of guests served by Jess is 13.

please help

ok it's blurry sorry

Answers

The equation is:
12.99 + 2.10b = 21.39
Subtract 12.99 from each side to get:
2.10b = 8.4
Then divide to find the amount of bottles:
b = 4 bottles

Hope this helps!! :)
21.39 - 2.10b - 12.99 = 8.4 - 2.10b
8.4 - 2.10b = 0
8.4 = 2.10b
8.4/2.1 = 2.10b/2.1

b = 4

hope this helps

your answer is A

Using repeated addition solve 5x4

Answers

5 + 5 + 5 + 5 = 20
Or
4 + 4 + 4 + 4 + 4 = 20

Using repeated addition, the value of 4 x 5 will be 20.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The expression is given below.

⇒ 5 x 4

Using repeated addition, the expression can be written as,

⇒ 5 + 5 + 5 + 5

⇒ 20

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Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?

Answers

-450 + 12x.....this is basically stating that the sewing machine and some fabric cost him $ 450....and he is selling each blanket for $ 12 a piece.
The total amount he earns is 12x....where x is the number of blankets

~~~~~~~~The answer IS 12x~~~~~~~~




order greatest to least for the following 2.007, 2.714, 2.09, 2.97

Answers

2007 209 2714 297 is that order

What is 0.04 divided by 10

Answers

0.04 / 10 = 0.004 <===
0.04 divided  by 10 = 0.004

Hope this helps!

Which property of equality would you use to solve the equation 14x=56

Answers

The answer is The Multiplication or Division Principle of Equality. It states that if you multiply or divide both sides of an equation by an expression, the resulting the equation will be equivalent to the original equation.

14x = 56
x = 4 <-- Divide both sides by 14

So, x is equal to 4.

The division property of equality is used to solve equality 14x = 56 where x = 4.

What is equality?

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

The given equality is,

14x = 56

Using division property of equality,divide both side by 14

14x/14 = 56/14

Solving we get,

x = 4

Thus, the division property of equality is used to solve equality 14x = 56 where x = 4.

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Write in exponent form and word form. 10x10x10x10x10x10

Answers

10x10x10x10x10x10 = 10^6

Hope this helps! :)
10 to the 6th power=word form


What is (-8)to the power of 2 equal??

Answers

(-8)^2
(-8)(-8)
64

Hope this helps!
Hello!

(-8)^2 means -8 x (-8).

The answer to this would simply be:
-8 x (-8) = 64

Because a negative number is being multiplied by another negative number, the answer becomes a positive number. 

I hope this helps you! Have a great day!

One-eighth of the 32 students in the class went abroad for fall break. How many students went abroad?

Answers

divide 32 by 8

32/8 = 4 students went abroad

what are the steps to
2 divided by 1054

Answers

Here you go. The first time I used a calculator, but then I looked up how to do it the long way.

A crane cable can support a maximum load of 22,000 kg. If a bucket has a mass of 5,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel can safely lifted by the crane?

Answers

Final answer:

The crane can safely lift approximately 11.33 cubic meters of gravel, taking into account the maximum load the cable can support and the mass of the bucket and gravel.

Explanation:

We need to calculate the maximum volume of gravel a crane cable can lift, given the maximum load it can support. The crane's cable can support a maximum load of 22,000 kg. Since the bucket that carries the gravel has a mass of 5,000 kg, we subtract this mass from the maximum load the cable can support to find the maximum mass of gravel that can be lifted:

22,000 kg (max load) - 5,000 kg (bucket mass) = 17,000 kg (max gravel mass)

Given that 1 cubic meter of gravel has a mass of 1,500 kg, we can calculate the volume of gravel that can be safely lifted by the crane by dividing the maximum gravel mass by the mass of gravel per cubic meter:

17,000 kg (max gravel mass) ÷ 1,500 kg/m³ (gravel density) = 11.33 m³

Therefore, the crane can safely lift approximately 11.33 cubic meters of gravel.

How do I solve this question?

Answers

Before attempting to solve this question, we must first know three things.

1. A straight line has a measure of 180 degrees.

2. When two angles add up to 180 degrees, those angles are called supplementary.

3. The interior angles of a triangle add up to 180 degrees.

We can see ∠ECT = 180 degrees.

∠DCT is supplementary to ∠DCE.

∠DCT = 140 degreees
∠DCE = x degrees

x + 140 = 180

Solve for x.

x + 140 = 180
x = 40 <-- Subtract 140 from each side

∠DCE = 40 degrees

We know the two interior angles of ΔDEC.

45 + 40 + x = 180

Solve for x.

45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95

So, the missing angle is equal to 95 degrees.

when multiplying and subtracting fractions ... 5/6-3/4

Answers

multiplying: 5/6 x 3/4 = 15/24
do not need common denominators

subtracting: 5/6 - 3/4 = 20/24 - 18/24 = 2/24
need a common denominator

Express the following number using expanded form, unit form, and word form: 625.25

Answers

The answer is tents ,ones,ones

6-13x=24-10(2x+8)+62+7x

Answers

Its an Identity, all real numbers are the answer.

Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks

Answers

$ 7 dollars a week for 4 weeks...

7 * 4 = $ 28 <==
a simple math problem sir, 7 dollars every week for 4 weeks, 4 times 7 will give us 27 dollars for 4 weeks

If ABCD is a parallelogram, what can we say about the diagonals BD and AC?
A.They're congruent to sides AD and BC

B. They bisect each other

C. They're congruent to sides AB and DC

D. They're congruent

Answers

The answer is going to be D.
This is because they all sides are congruent and the same length :D
Hope this helps :D

Answer: The answer is D

Step-by-step explanation:

What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?

Answers

y – 4x = 7 – x2

rewrite it:


y = -x^2+4x+7

complete the square:

y = -(x-2)^2  + 11

vertex: (2,11)

the axis of symmetry is the coordinate of x, i.e. x=2

Answer:

axis of symmetry at x=2

Step-by-step explanation:

[tex]y - 4x = 7 - x^2[/tex]

LEts solve for y

Add 4x on both sides

[tex]y=- x^2+4x+7[/tex]

To find axis of symmetry we use formula

[tex]x=\frac{-b}{2a}[/tex]

the equation in the form of ax^2 + bx+c

a= -1 , b= 4

Plug in the values

[tex]x=\frac{-4}{2(-1)}=2[/tex]

So axis of symmetry at x=2

Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.

How many of his triangles are obtuse?
(a.)1
(b.)2
(c.)3
(d.) 4

Answers

Let c =  hypotenuse and a = leg 1 and b = leg 2. If c² > a² + b², then it is obtuse. If it is less, then it is acute. I hope it helps.

The number of obtuse triangles from the information will be 3.

What is an obtuse triangle?

It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.

Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.

In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.

Therefore, By the given numbers there can be made 4 triangles having sides:

1) 3, 6, 7

3) 3, 7, 8

4) 3, 6, 8

Therefore, the correct option will be 3.

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What is the domain and range of the function shown in the graph?

Answers

The domain is the set of all x values which are defined (appear on the graph) of the function. In this system, all values from negative infinity to 0, but not including zero, and all values above zero, through positive infinity, are valid. We can write this in set builder notation as x: (-∞,0)∪(0,∞).

The range is the set of all y values which are defined in the function. Like the domain, the range of this function contains all value from negative infinity to positive infinity except zero. Same notation: y: : (-∞,0)∪(0,∞).


A jug holds 4.8 liters. How many milliliters does it hold?

Answers

4.8 L to ml = 4800 milliliters
4.8 liters to mL = 4800 milliliters
4.8 liters to milliliters = 4800 mL

Answer: 4,800 mL

we know that

[tex]1\ liter=1,000\ milliliters[/tex]

so

By proportion

Find how many milliliters  are [tex]4.8\ liters[/tex]

[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]

therefore

the answer is

[tex]4,800\ milliliters[/tex]

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