if angle DEF equals 117 find the value of X

If Angle DEF Equals 117 Find The Value Of X

Answers

Answer 1

Answer:

x= 7

Step-by-step explanation:

add (12x+1) and (5x-3) which becomes 17x-2 and then set that equal to 117 and solve. move the 2 to the right side of the equation which becomes 17x=119 and then divide 119 by 17 which x equals 7.

plug in 7 for x to make sure you get 117


Related Questions

10x 2-60
| 0 ||0
Is it correct?

Answers

Answer:

No. -40

Step-by-step explanation:

(10 x 2) - 60 = -40

For all integer values of x and constant k, if (x-k)(x-5)=x^2-9x+20, what is the value of K?

A) -5
B) -4
C) 4
D) 10
E) 12

Answers

Answer: C) 4

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

Work Shown:

Expand out the left hand side

(x-k)(x-5)

x(x-5)-k(x-5)

x^2-5x-kx+5k

Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20

For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20

Therefore,

(x-k)(x-5) = x^2-9x+20

updates to

(x-4)(x-5) = x^2-9x+20

The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.

Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9

Answers

Answer:

2.4

Step-by-step explanation:

To find the mean absolute deviation, find how much each value is away from the mean, and divide it by the number of numbers you have. In this case, the mean is 5, and the deviation of each number is 4, 2, 0, 2, and 4. Add these up and you get 12. Divide 12 by the number of numbers which you have, which is 5, to get 2.4.

We have that The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is

[tex]\sigma=2.24[/tex]

From the question we are told

Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9

Generally the equation for the mean absolute deviation  is mathematically given as

[tex]\sigma={\frac{\sum(x-u)}{N}[/tex]

Where

[tex]x=\frac{2+3+5+7+9}{5}\\\\x=5.2[/tex]

Therefore

[tex]\sigma={\frac{\sum(x-u)}{N}\\\\\sigma=\frac{3.2+2.2+0.2+1.8+3.8}{5}\\\\\sigma=2.24[/tex]

Therefore

The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is

[tex]\sigma=2.24[/tex]

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Simplify the expression 2(x-5)+3(x+11)

Answers

The answer to 2(x-5)+3(x+11) would be 5x+23

Answer:

2x-10+3x+33

5x+23

Step-by-step explanation:

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50 POINTS! Is Brainly lagging for anyone? It's kicking me off the site. A lot. It says something like 502 bad gateway. Also, I'm just putting this under math, and hopefully, people see it.

Answers

Answer:

mines working fine thats weird that it's doing that have you tried contacting the company?

No, Brianly is doing fine for me. It may be you'r WIFI but there is no telling.

write first three terms of AP with a = -1 and d = 1/2​

Answers

Answer:

first three terms are

-1, -1/2 & 0

Step-by-step explanation:

here,

a=-1

and d=1/2

so

t1 = -1

t2 = a+(n-1)d= -1 +(2-1)*(1/2)=-1/2

t3= a+(n-1)d= -1 +(3-1)*(1/2) =0

an integer is 10 times the difference of a rational number and 5. If the value of the integer is 124, what is the value of the rational number?

Answers

Answer:

17.4

Step-by-step explanation:

Given the question :

an integer is 10 times the difference of a rational number and 5. If the value of the integer is 124, what is the value of the rational number?

An integer = 124 is 10 times the difference of a rational number and 5

Let the rational number be r

Hence,

124 = 10 × (r - 5)

124 = 10r - 50

124 + 50 = 10r

174 = 10r

Divide both sides by 10

174 / 10 =. 10r / 10

17.4 = r

r = 174 / 10 or 17.4

Can 0.898989.... be written as a fraction

Answers

Answer:

898989/1000000

Step-by-step explanation:

Yes it can be written as a simplified fraction. Since there are 6 numbers to the right of the decimal point, you would move the decimal point to the left of the number.

0.898989

start by moving the decimal point to the left 898989

since you moved your decimal point 6 times to the left it would be 10^6

hence, 898989/1000000

The repeating decimal 0.898989... Or [tex]0.\overline{89}[/tex] can be written as 89/99.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know a repeating decimal can be written as a fraction.

We'll put as many 9s in the denominator as there are repeating digits after the decimal and in the numerator, we'll simply write the repeating digits after the decimal.

So, 0.89898989 is 0.89 repeating.

∴ [tex]0.\overline{89}[/tex] = 89/99.

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Marci has a scale drawing of her new bedroom. On the drawing the length of the bedroom is 2cm. In real life her bedroom is going to be 7 meters in length. What is the scale of the drawing

Answers

Answer:

Scale for drawing is 1:350

Step-by-step explanation:

scale is ratio of size of drawing and size of actual object for which the drawing is made

it is represented as

scale = size of drawing : size of actual object

given

length of model in drawing = 2cm

length of bedroom in reality = 7 meter

since there are two units we meter and cm

we convert both in same unit that is cm for simpler calculation

1 meter = 100 cm

7 meter = 7*100 cm = 700cm

length of bedroom in reality = 7 meter = 700 cm

Thus,

scale for drawing = length of drawing/ actual length of bedroom

scale for drawing = 2 cm : 700cm = 1:350

Scale for drawing is 1:350

A taxi charges $3, plus $1.50 for each mile traveled. Mr.Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr.Lewis live from the airport

Answers

Answer: 18 milles

Step-by-step explanation: ince we have to figure out how many miles away Mr. Hill lives, first we will subtract:

30 - 3 = 27

Then, divide

27 ÷ 1.50 = 18

So, Mr. Hill lives 18 miles away

Answer:

18miles

Step-by-step explanation:

Full cost minus the original cost.

30-3=27

Now you have to divide the cost by 1.5 because you have to find the distance and that is the cost per mile.

$27/1.5=18mi

Fernando's lawn is 30 meters wide. His neighbor's lawn is 50 meters wide. In centimeters, what is the difference in width between the two lawns? (hint: 1 m = 100 cm)

Answers

Answer:

The difference in width is 2000 cm.

Step-by-step explanation:

The wideness of Fernando’s lawn = 30 meters

Neighbour’s lawn = 50 meters

Now we have to find the difference in width that can easily find out by subtracting the width of Fernando’s lawn from the neighbor’s lawn.

The difference in width = neighbor's lawn - Fernando's lawn

The difference in width = 50 - 30

The difference in width = 20 meters

The difference in width = 20 meters ×100 = 2000 cm.

What is 10% of 110​?

Answers

Answer:

10%×110

10/100×110

11

Answer:

Click at the above pic and the ans will appear.

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What is the value of the expression below when
w = 7 and x = 6?
5w — x

Answers

Answer:

The answer is 29

Step-by-step explanation:

5(7)-6 once you put it in the calculator you will get 29 as the answer for all of it. The w is 7 and when you place it next to the 5 you have to multiply it and then subtract it by the x which is the 6.

I hope this helps!

After substituting, the value of expression is 29.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is,

⇒ 5w - x

And, w = 7 , x = 6

Since, The expression is,

⇒ 5w - x

Substitute the value of w and x, we get;

⇒ 5×7 - 6

⇒ 35 - 6

⇒ 29

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4. Find the next 3 numbers in the pattern: 87, 78, 69. 60, __ __ __​

Answers

I believe its subtracting by 9 so the answer would be 51, 42, 33.

Answer:

51, 42, 33

Step-by-step explanation:

87, 78, 69, 60, 51, 42 , 33

They all are differences of 9, so just subtract 9 to the the pattern

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what is 0.000074 in scientific notation

Answers

Answer: 7.4 x 10^ -5

The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?

10 minutes
20 minutes
30 minutes
40 minutes

Answers

Answer:

40 mins

Step-by-step explanation:

Answer:

The answer is correct, it is 40 minutes.

Step-by-step explanation: Edge 2021

solve 5.2 = a - 0.4 a= ?​

Answers

The answer could be a=5.6

20. The formula A = bh can be used to find the area of a triangle.
Solve the formula for h, and use your equation to find the height of
a triangle with an area of 90 cm2 and a base of 15 cm.

Answers

h=A/b
h=90/15
h=6cm
therefore the answer to this problem is the height is 6cm

Maria Gomez is a dental assistant. She earns $12.12 per hour and time and a half for overtime. What is her total pay for a week in which she works 45 hours?ks 45 hours?

Answers

Reg. Pay = $12.12 x 40hrs
Ot pay = $12.12 x 1.5 x 5 hrs

Add Reg Pay + OT

$484.80 + $90.90
= $575.70

Maria Gomez's total pay for the week when she works 45 hours will be $575.70.

How to calculate Total Pay?

To calculate Maria Gomez's total pay for a week in which she works 45 hours, we need to consider both regular hours and overtime.

Given:

Regular hourly wage = $12.12 per hour

Overtime rate (time and a half) = 1.5 * Regular hourly wage = 1.5 * $12.12 = $18.18 per hour

Total hours worked in the week = 45 hours

Now, we'll calculate the total pay:

Step 1: Calculate the regular pay for 40 hours (normal working hours):

Regular pay = Regular hourly wage * Regular hours worked

Regular pay = $12.12 * 40 = $484.80

Step 2: Calculate the overtime pay for the additional 5 hours:

Overtime pay = Overtime rate * Overtime hours worked

Overtime pay = $18.18 * 5 = $90.90

Step 3: Add regular pay and overtime pay to get the total pay:

Total pay = Regular pay + Overtime pay = $484.80 + $90.90 = $575.70

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Multiples of 3 are always multiples of 6.

Answers

Answer:yes 3x2=6

Step-by-step explanation:

Answer:

No thus statement is not right...

Step-by-step explanation:

3×3=9

but multiples of 6 doesnt have a 9

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A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What is the actual area of the park?

Answers

Answer:

Actual area = 21600 Sq.miles

Step-by-step explanation:

We are given;

length; L = 4 inches

Width; W = 6 inches

The scale of the map; 1 inch for every 30 miles i.e. 1 : 30

Since the scale is 1:30, let's find the find the actual dimensions and then the actual area

For the Length,

Since 1 inch represents 30 miles,

Then, 4 inches = (4 × 30)/1 = 120 miles

For the width;

Since 1 inch represents 30 miles,

Then,6 inches = (6 × 30)/1 = 180 miles

Therefore, the actual dimensions are 120 miles and 180 miles

Now, formula for area of rectangle = length × width

Thus;

Actual area = 120 × 180

Actual area = 21600 Sq.miles

Round 40.8534 by one decimal point

Answers

Answer:

40.9

Step-by-step explanation:

8 is beside 5 which is a large number so you add 1 to 8

Answer:

40.9

Step-by-step explanation:

if you rounded to 2 decimal places the answer would be:

40.83.

because the second number after the decimal is 5 or more, we have to round upwards.

this brings us to 40.9 which has 1 decimal place.

Which of the following could be the number shown on the number line?

Answers

Answer:

Your correct answer is option B.

Step-by-step explanation:

Option b is the highest number in the options. and, the dot on the number line is closest to the 5. Therefore, your correct answer is option B.

√24 can be the number shown on the number line. Hence, option A is the right choice.

What is a number line?

The integers are put at equal intervals on number lines, which are horizontal straight lines. A number line can depict all of the numbers in a series. At both ends, this line continues endlessly.

How do we solve the given question?

In the question, we are given a number line showing a point between 4 and 5, which is very close to 5.

We analyze all the given options for a number similar to the number marked on the number line to get the correct option.

To remember, 4 = √16, and 5 = √25

A. √24: falls between 4 and 5 (∵ √16 < √24 < √25). And also √24 is very close to 5 (√25).B. √27: does not fall between 4 and 5 (∵ √27 > √25).C. √20: falls between 4 and 5 (∵ √16 < √20 < √25). But not very close to 5.D. √26: does not fall between 4 and 5 (∵ √26 > √25).

After analyzing all the given options, only A. √24 and C. √20 fall between 4 and 5, and the closest to 5 among them is √24, so that is the right choice.

∴ √24 can be the number shown on the number line. Hence, option A is the right choice.

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-10(-v + 6w) -w - 9(-3w - v)

Answers

Step-by-step explanation:

-10(-v + 6w) -w - 9(-3w - v)

= 10v - 60w - w + 27w + 9v

=19v - 34w

Hope this helps.. Good luck :)

miguel builds a model airplane with the scale 1in = 6ft . if the model is 9.3 inches long how long was the actual airplane ?

answer : 54.2 ft

Answers

Answer:

55.8 ft

Step-by-step explanation:

This seems simpler than it is.

So since it's going from inches to feet, we have to first know the conversion rate of inches to feet which is simple, 12 inches=1 foot. So now we have to figure out how many inches is 6 ft, so 12*6 equals 72. So knowing the scale, we can just do 9.3 *72=669.6. But if we want to know how long the actual airplane was in feet, then we have to do 669.6/12 which equals 55.8

Another way we could do it is by doing 9.3*6. This works because if you multiply something 12 and then divide it by 12, it just becomes 1. But doing this, you can't find the actual airplanes length in inches.

This question has two parts. Use the information to answer Part A and Part B. Information 1 A camp leader buys a book for each of her campers. She spends $7.50 on each book. Question 1 ,begin emphasis, Part A,end emphasis, Which expression can be used to find the amount of money the camp leader spends on b books? Question 1 Answer options with 4 options (A.)7.50 times b (B.) 7.50 plus b (C.)7.50 minus b (D.)7.50 divided by b Question 2 ,begin emphasis,Part B,end emphasis, If the camp leader has 12 campers, how much does she spend on the books? Enter the answer in the box. Question 2 Response area with 1 text input box $

Answers

Answer:

b

Step-by-step explanation:

because help me me with solve

The expression for the amount of money to buy 'b' books is

(A.) 7.50 times b

if the camp leader has 12 campers the amount of money will be$90.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A camp leader buys a book for each of her campers. She spends $7.50 on each book.

Assuming he bought 'b' no. of books.

∴ The expression for the amount of money to buy 'b' books is 7.50b.

Now if the camp leader has 12 campers the amount of money will be (7.5×12) = $90.

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I NEED HELP EXPLAINING HOW I GOT MY ANSWER ILL GIVE 100 POINTS PLEASEEE?!?!?

Answers

Answer:

[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]

Step-by-step explanation:

S = 2πr² + 2πrh

Move 2πr² to the left side of the equation

That's

2πrh = S - 2πr²

Divide both sides by 2πr to make h stand alone

That's

[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2πr²}{2\pi r} [/tex]

We have the final answer as

[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]

Hope this helps you

The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip? 2 and one-half gallons gallons gallons 8 and one-third gallons

Answers

Answer:

5 gallons of gasoline on the remaining 150miles of the trip

Answer:

5 gallons

step by step answer:

(1 + i)(13 – 4i)(1 - i)

Answers

Answer:

26-8i

Step-by-step explanation:

Simplify |8 - 12 | its geometry

Answers

Answer:

-4

Step-by-step explanation:

the simplified number would be 4
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