TOWERS A lookout tower sits on a network of struts and posts. Leslie measured two angles on the tower. If m∠1=7x-7°, m∠2=4x+2°, and m∠3=2x+6°, what is m∠1?

please explain the answer i want to understand how this works.

Answers

Answer 1

Answer:The angles in a triangle add up to 180 degrees


Related Questions

The Carson family sent 800 text messages last month. Mrs. Carson sent 280 text messages. Ben sent 520 texts. What percentage of the family's text messages did each person send?

Answers

The percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The Carson family sent 800 text messages last month.

Mrs. Carson sent 280 text messages

Ben sent 520 texts messages.

According to given question we have

Total text messages last month= 800

Mrs. Carson=

[tex]\frac{280}{800}*100\\ \\=35[/tex]

Ben

=

[tex]\frac{520}{800}*100\\ \\=65[/tex]

Therefore, the percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.

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When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee 14 cups = 1 qt2. how many kg of coffee are required to produce 200 cups of coffee?

Answers

1.738 kg of coffee are required to produce 200 cups of coffee.

What is Proportion?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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The numbers of students in the four
sixth-grade classes at Northside School are 26,
19, 34, and 21. Use properties to find the total
number of students in the four classes.

Answers

The total number of students in the four classes is 100 students.

How to compute the value?

From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.

Therefore, the total number of students will be:

= 26 + 19 + 34 + 21

= 100

Therefore there are 100 students.

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Which of these is a valid byte? check all that apply. 1 point 11011011 10022011 11100 00000000 2.

Answers

11011011, 11100, and 00000000 are the valid byte except  10022011.

In a system,  a byte is a  unit of data, that consists of 8 bits, where bits are the smallest unit of storage, bits are represented by just two digits 1 and 0, while bytes, it combination of bites, ranging from 0 and 1.In the given problem, 11011011, is a valid byte since it contains only 1 and 0 a total of 8 bits.11100 can be interpreted as 00011100 so, so it also consists of 8 bits of 1, and similarly =it is the same as 00000000,  whereas 10022011, consists of 2, which is not a valid bit.

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PLS ANSWER ALL OF THE QUESTIONS IN ORDER

Answers

The  the required value of function of the expression when x equal to 5 i.e f(5) is 167.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given expression is

f(x) =[tex]7x^{2} -8[/tex]

We have to find the value of f(5).

According to given question we have

f(x) =[tex]7x^{2} -8[/tex]

Put the value of x= 5  in the given function  we get,

f(x) =[tex]7x^{2} -8[/tex]

f(5) =[tex]7(5)^{2} -8[/tex]

After simplifying we get

f(5)=167

Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.

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What will be the value of f(k)?
4x² - 6x +7

Answers

Answer: f(k)=4k² - 6k +7

Step-by-step explanation:

f(x)=4x² - 6x +7

f(k)=4k² - 6k +7

An angle that has a measure of 75 is congruent to an angle that has a measure of (6x + 69.06) deg What is the value of x?

Answers

Answer:

5.94

Step-by-step explanation:

75 - 69.06 = x

x = 5.94

Depreciation for the current year includes equipment $3100. The accumulated depreciation equipment unadjusted balance of December 31 is $6700

Answers

The value is 3600

According to question ,

given that, Depreciation for the current year is $ 3100

accumulated depreciation equipment is $ 6700

Unadjusted balance of December

 6700 - 3100 = 3600

Depreciation is the process of deducting the total cost of something expensive you bought for your business. But instead of doing it all in one tax year, you write off parts of it over time. When you depreciate assets, you can plan how much money is written off each year, giving you more control over your finances.

Formula: (asset cost – salvage value) / useful life

explain the formula:  You divide the cost of an asset, minus its salvage value, over its useful life. That determines how much depreciation you deduct each year.

Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance

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19.44 is what percent of 54

Answers

Answer:

36%

Step-by-step explanation:

19.44 = ( ? percent ) × 54

This is the question in an equation form :

Divide both sides by 54 :

19.44 ÷ 54 = (? percent )

0.36 = ? percent

0.36 as a percentage is

0.36 ×100 = 36%

Hope this helped and have a good day

Evaluate each function.
41) k(t)=t-4; Find (10)

Answers

The value of k(10) is 6.

A function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has precisely one output and the output can be linked to its input.A relationship between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.Each function has a range, co-domain, and domain. The given function is k(t).k(t) = t-4Here, the value of k(t), depends upon the value of 't'. k(t) is the dependent variable whereas 't' is the independent variable. Substitute the value of 't' by 10.k (10) = 10-4k (10) = 6

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Evaluate the function.
f(x) = x² + 2x + 6
Find f(-7)

Answers

Answer: f(-7)=41

Step-by-step explanation:

f(x) = x² + 2x + 6

f(-7)=(-7)² + 2(-7) + 6

f(-7)=49-14 + 6

f(-7)=35 + 6

f(-7)=41

Answer:

f(-7) = 41

Step-by-step explanation:

f(x) = x² + 2x + 6

In order to find f(-7) ,we just need to substitute x in the expression of the function f by -7.

Then

f(-7) = (-7)² + 2(-7) + 6

      = 49 - 14 + 6

      = 35 + 6

      = 41

X to the power of 2 minus 6 minus 7

Answers

Answer:

[tex]x=\sqrt{13}[/tex]

Step-by-step explanation:

[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]

Which expression is equivalent to (m8n4)4? Options:

m^12n^8

m^4n

m^2n

m^32n^16

Answers

Answer:

[tex] = { \tt{ {( {m}^{8} {n}^{4}) }^{4} }} \\ = { \tt{ {m}^{(8 \times 4)} \times {n}^{(4 \times 4)} }} \\ = { \boxed{ \boxed{ \tt{ {m}^{32} {n}^{16} }}}}[/tex]

A box of chocolates contained 12. 5% caramels. There were 5 caramels in the

box. How many pieces of chocolate are in the box?

A. There are 63 pieces of candy in the box.

B. There 8 pieces of chocolate in the box.

C. There are 40 pieces of chocolate in the box.

D. There are 4 pieces of chocolate in the box

Answers

The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

% = percentagen= number portionnt = total of the number portion

Information about the problem:

% = 12.5%n = 5nt =?

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (5 * 100) / 12.5

nt = 40

C. There are 40 pieces of chocolate in the box.

What is a percentage?

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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PLEASE HELP!


Beth is solving this equation: 1/3 + 3 = 3/x


She says “I can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x = 2/3 ."


Which of the following statements makes this a correct argument, or shows that it is incorrect? Select all that apply.


You cannot multiply both sides by x because you do not know what x is.


After multiplying both sides by x you need to subtract 1 from both sides.


You can assume x does not equal 0 because both sides are undefined is x = 0.


The equation is not linear, so you cannot use the methods normally used for solving linear equations.

Answers

Answer:

x= 0.9

step-by-step explanation:

LCM=3x

use the lcm to multiply each term

3x×1/3+3x×3=3x×3/x

cancel out

x+9x=9

10x=0

divide both side by the coefficient of x

10x/10=9/10

x=0.9

2help me PLEASE THIS IS WORTH SO MANY POINTS PLEAS EHELP ME

Answers

Answer:

I would say A

Step-by-step explanation:

Because just because a quadrilateral has 4 congruent sides, does not make it a rhombus. Because a square has 4 congruent sides too.

6ab, 8ba, (-2ab) and (-3 bc)​

Answers

Answer:

4ab = 5bc is the answer

Step-by-step explanation:

Answer:

12ab - 3bc.

Step-by-step explanation:

I am assuming you want to add these.

6ab + 8ba + (-2ab) + (-3bc)

= 6ab + 8ab - 2ab - 3bc

= 14ab - 2ab - 3bc

= 12ab - 3bc.

anyone mind helping a girl out???

Answers

Hi!

Let's solve the equation for x!

[tex]\mid\bold{x-1\mid+5=2}[/tex]

Step 1:

Subtract 5 from both sides.

[tex]\bold{\mid x-1\mid=-3}[/tex]

Now it's a little easier to solve! :')

Now, What does | | mean ?

Remember, It means "absolute value", and it's Always a positive number.

And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".

But that's impossible!

Therefore, this equation has no solutions.

I hope I helped you, have a wonderful day!

Good luck.

- stargazing [tex]\tiny\pmb{0.2}[/tex]

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{|x - 1| + 5 = 2}[/tex]

[tex]\large\text{Add }\rm{-5}\large\text{ to both sides: }[/tex]

[tex]\mathsf{|x - 1| + 5 - 5 = 2 - 5}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{|x - 1| = 2 - 5}[/tex]

[tex]\mathsf{|x - 1| = -3}[/tex]

[tex]\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}[/tex]

[tex]\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}[/tex][tex]\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Please I need help on Geometry

Answers

The correct choices for midpoints and bisector angles are listed below:

DDBABCBAHow to determine the locations and measures of bisectors

In this question we find four cases of determination of midpoints, that is, the point in a line segment such that the line segment is divided in two segments of equal length, and four cases of angle bisectors, that is, two angles of equal measure generated by a semirray.

First, we determine the location of the midpoints:

1) M(x, y) = 0.5 · (- 8, 9) + 0.5 · (- 9, 0)

M(x, y) = (- 8.5, 4.5)

M(x, y) = (- 8 1 / 2, 4 1 / 2)

2) M(x, y) = 0.5 · (1, 10) + 0.5 · (5, 5)

M(x, y) = (3, 7.5)

M(x, y) = (3, 7 1 / 2)

3) M(x, y) = 0.5 · (3, - 1) + 0.5 · (5, 3)

M(x, y) = (4, 1)

4) M(x, y) = 0.5 · (1, - 2) + 0.5 · (4, 5)

M(x, y) = (2.5, 1.5)

M(x, y) = (2 1 / 2, 1 1 / 2)

Bisector angles

5) The measure of the angle is 28°.

6) The measure of the angle is 38°.

7) The measure of the variable behind the angle is:

m ∠1 = m ∠2

2 · x + 3 = x + 11

x = 8

8) The measure of the variable behind the angle is:

m ∠ XVW = 2 · m ∠ 1

13 · x - 6 = 2 · (5 · x + 9)

13 · x - 6 = 10 · x + 18

3 · x = 24

x = 8

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Evaluate the expression 5•5-1•3

Answers

5 * 5 - 1 * 3

Since multiplication goes before addition in PEMDAS, we do the multiplication first.

25 - 3

2

Answer:

22

Step-by-step explanation:

5•5-1•3

(5 x 5) - (1 x 3)

25 - 3

22

You would multiply both separately and then subtract.

Remember PEMDAS

:)

find the difference 78,003-32,136

Answers

Answer:

=45867

Step-by-step explanation:

[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&7&9&9&13\\ \:\:&\textbf{7}&\linethrough{8}&\linethrough{10}&\linethrough{10}&\linethrough{3}\\ -&\textbf{3}&2&1&3&6\end{matrix}}{\begin{matrix}\:\:&\textbf{4}&5&8&6&7\end{matrix}}[/tex]

Astronauts brought back 500 lb of rock samples from the moon.how many kilograms did they bring back?1 kg = 2.20 lb227 kg227 kg498 kg498 kg500 kg500 kg1,100 kg

Answers

Astronauts brought back 500 lbs rock samples from the moon they brought back 227 kilograms of sample. The correct option is D.

Who, in brief, is an astronaut?

A space traveler is referred to as an astronaut. The term "astronaut" is currently used to designate to anyone traveling on a spaceship, including civilians, whereas it was previously reserved for military-trained experts.

As the astronaut brought 550 lbs sample,

2.20lbs = 1 kg.

1 lbs = 1/2.20

1 lbs = 0.45

so, 500 lbs nearly implies 227kgs.

Thus, the correct option is D.

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Solve the following equation and inequality.
5(2x+3)=35
3x-4>17

Answers

Answer: Ok I don’t have the answer but I have an example!

Step-by-step explanation: Solve for x and check: x + 5 = 3. Solution.

I hope this help maybe it might or might not give you the answer for your question I tried. ✨I hope this help!✨

Please help I have no idea

Answers

Answer: a=5

Step-by-step explanation:

-4(7a+5)=-160

-28a-20=-160

-28a-20+20=-160+20

-28a=-140

a=5

that’s the work hope it helps

What is the area of a triangle with the vertices (1,0), (6,0), and (3,8)?

Answers

Answer: 20

Step-by-step explanation:

Jamal works at a grocery store part-time He must earn at least $200 each week He earns $8.50 per hour. Which inequality represents the number of hours, x, Jaal must work each week?

Answers

Answer: 24

Step-by-step explanation: he needs at least 24 hours and he will make 204 dollars.

A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
Hint: the answer will be a 4 digit number, it might include decimals it might not i dunno

Answers

Answer:

127.3 feet

Step-by-step explanation:

Use Pythagorean Theorem which says

leg^2+leg^2=hyp^2

90^2+90^2= c^2

8100 +8100=c^2

16200 = c^2

sqrt16200 = c

c ~= 127.27922

Round to one decimal place.

c ~= 127.3 feet

OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2

The legs are 90.

So, the long side is 90•sqrt2

~= 127.27922

~= 127.3 feet

see image.

Which situation could be represented by the equation-30 + 30=0 ?

Answers

Answer:30x0

Step-by-step explanation:

number 7 show your work , someone help please.

Answers

Answer:

Step-by-step explanation: Replace u with (3)

Multiply 5x3+3/2

Answer: 9

Step-by-step explanation:

remember, a variable is only a placeholder for an actual value.

so, when we get an actual value, we put it into every location of the variable in the expression and simply calculate.

6.

25/(r - 4) for r = 9

that means

25/(9 - 4) = 25/5 = 5

7.

(5u + 3)/2 for u = 3

that means

(5×3 + 3)/2 = (15 + 3)/2 = 18/2 = 9

How do answer this question?

Answers

Answer:(0,4)

Step-by-step explanation:

Answer:

(-5, -1)

Step-by-step explanation:

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