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.

Answer:

The answer is definitely A.

A fraction which would make this equation true, using the multiplicative inverse is 9/4.

In Mathematics, a fraction simply refers to a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, the multiplicative inverse of a number states that when a number is multiplied by its reciprocal, the product (outcome) is always equal to 1.

Mathematically, the multiplicative inverse of a number can be represented by this mathematical expression;

n⁻¹

Where:

n represents a number.

By applying the multiplicative inverse to the fraction, we have;

4/9 × n = 1

4n = 9

n = 9/4

Therefore, the unknown number (fraction) is 9/4.

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Answer:

12/15 and 24/30 are equivalent fractions

I don't know if u need both but i'll solve both

2: -(z-3y-3x+z+2y+3x+2y)-x

   -z+3y+3x-z-2y-3x-2y-x

    -2z-y-x

3:    7-a+b-4+3a-2b

     3+2a-b

I hope this helped :)

Answer:

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

Step-by-step explanation:

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

B. Liani's design would result in a larger flower bed because its area would be 2,500 square feet.

C. Henry's and Liani's designs would result in flower beds with the same area.

D. Henry's and Liani's designs are not possible with the given amount of wood.

Length of wood = 200 feet

Henry's square bed design = 200 feet / 4

= 50 feet

Note: A square has 4 equal sides, hence, the division by 4

Each side of the square bed = 50 feet

Area of the square bed = length ²

= (50 feet)²

= 2,500 square feet

Liani rectangular bed design

Length = 55 feet

Width = 45 feet

Note: adding of 2 length and 2 width = 200 feet

That is,

2(55) + 2(45)

= 110 + 90

= 200 feet of wood

Area of Liani rectangular bed design = length × width

= 55 feet × 45 feet

= 2,475 square feet

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

Answer:

A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.

Step-by-step explanation: magic

Answer:

31p+13

Step-by-step explanation:

After expanding: 21p+28+10p-15

After simplifying: 31p+13

Solution

Step 1

Step 2

Step 3

Step 4

Answer:

C

Step-by-step explanation:

∆=b^2-4a*c=1-4*3*(-10)=121>0 có 2x

x1=-b+sprt∆/2a=1+sprt121/2*3=2

x2=-b-sprt∆/2a=1-sprt121/2*3=-5/3

Answer:

I don't know, Study and you'll understand. Stop being lazy.

6

Answer:

A: predictions

Step-by-step explanation:

You should add the other ones

Answer:

new information

Step-by-step explanation:

u should never add new information in the conclusion, unless ur making a TV show or movie and have a sequel planned.

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Step-by-step explanation:

please mark me as brainlest

Answer:

135

Step-by-step explanation:

2x²/x + x(100 - 15x)

If x = 5 ;

2(5)²/5 + 5(100 - 15×5)

= 2×25/5 + 5(100 - 75)

= 2 × 5 + 5 × 25

= 10 + 125

= 135

Rounded to the nearest cent, the total job cost for Randi is $6,138.99.

To calculate the total cost for Randi's carpeting job, we need to consider the cost of the carpet, foam padding, and labor.

1. Carpet cost:

The total square yards of carpet needed is:

Downstairs: 109.41 square yards

Halls: 30.41 square yards

Upstairs bedrooms: 160.51 square yards

The total square yards of carpet required is the sum of these areas:

109.41 + 30.41 + 160.51 = 300.33 square yards

The cost of the carpet per square yard is $13.60.

Therefore, the cost of the carpet is:

300.33 * $13.60 = $4,080.19

2. Foam padding cost:

The total square yards of foam padding needed is the same as the carpet area: 300.33 square yards.

The cost of the foam padding per square yard is $3.10.

Therefore, the cost of the foam padding is:

300.33 * $3.10 = $930.81

3. Labor cost:

The labor cost is quoted at $3.75 per square yard.

Therefore, the labor cost is:

300.33 * $3.75 = $1,126.99

4. Total job cost:

The total cost is the sum of the carpet cost, foam padding cost, and labor cost:

$4,080.19 + $930.81 + $1,126.99 = $6,138.99

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Answer:

First, rewrite the expression as:

3

x

3

×

1

8

Next, use this rule of exponents to rewrite the expression again as:

x

a

×

b

=

(

x

a

)

b

3

x

3

×

1

8

⇒

3

(

x

3

)

1

8

Now, use this rule of exponents to write the expression as a radical:

x

1

n

=

n

√

x

3

(

x

3

)

1

8

=

3

8

√

x

3

Step-by-step explanation:

Step-by-step explanation:

it is 3 to the power of 3 or 3 with a tiny three next to it. The answer to 3 to the power of three is 27. 3x3=9 9x3=27

Answer:

10

Step-by-step explanation:

count the full squares then add up the halfs and u get 10

The angle of the rhombus is given as 54 degrees (alternate angles)

A rhombus, a four-sided polygon dotted with sides of the corresponding length, has adjacent angles with equal measure and all four edges culminating in 360 degrees.

If one is seeking to identify the measurements of each angle within a rhombus, they may do so by employing the following formula:

angle measurement = (180 - diagonal angle)/2

To begin, single out one of the diagonal angles; then, take 180 minus that angel and subsequently halve it--this is the measure of each neighboring angle.

Repetition of this procedure on the opposing diagonal angle should enable you to uncover all four side lengths of the rhombus.

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The value of angle 1, 2, 3, and 4 is 42⁰, 48⁰, 42⁰ and 42⁰ respectively.

The value of angle 1, 2, 3, and 4 is calculated as follows;

angle 3 = angle 4 (alternate angles are equal)

angle 3 = 42⁰

let the angle adjacent to 3 = y

y = 90 - 42⁰

y = 48⁰

angle 4 + adjacent angle = 180 - (42 + 48)

angle 4 + angle 2 = 180 - 90

angle 4 + angle 2 = 90

angle 4 = 42⁰ (vertical opposite angles)

angle 2 = 90 - 42⁰

angle 2 = 48⁰

angle 1 = angle 4 = 42⁰ (alternate angles).

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√n - √(n - 1) < 0.01

√n < 0.01 + √(n - 1)

Take squares on both sides and simplify:

n < 0.0001 + 0.02 √(n - 1) + (n - 1)

0.9999 < 0.02 √(n - 1)

49.995 < √(n - 1)

Take squares on both sides again:

2499.5 < n - 1

2500.5 < n

So we must have n ≥ 2501 for the inequality to hold.

Answer:

x= -2 and x=-1

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The interest rate of it is 1%

What is simple interest ?

The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Simple interest does not compound, so the creditor only has to pay interest on the principal sum and the borrower never has to pay interest on the interest that has already accrued.

Simple interest formula

\(I = \frac{P*T*R}{100}\)

Given

I = 7140 - 7000

 = 140

P = 7000

T = 2 years

R = ?

\(R = \frac{I*100}{P*T}\)

R = (140 *100) / (7000 * 2)

   = 14000 / 14000

R = 1%

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A total of 23, 950, 080 results are possible.

We are given;

10 women

12 men

5 men and 5 women, chosen and pared off, how many results in total?

Thus;

[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways

We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.

Therefore, there are 5x4x3x2x1 = 120 ways.

 In total there are 199584x120 = 23950080 total  ways

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The probability that a specific fire engine is not available when needed is 0.04 (since the probability of it being available is 0.96).

The question asks for two probabilities related to the availability of fire engines in a town. The first part asks for the probability that neither engine is available when needed, and the second part asks for the probability that a fire engine is available when needed.

To calculate the probability that neither engine is available when needed, we need to use the multiplication rule for independent events. We know that the probability that one specific engine is not available when needed is 0.04 (1 - 0.96). Since the two engines operate independently, the probability that both are not available when needed is the product of their individual probabilities:

P(neither available) = P(engine 1 not available) * P(engine 2 not available)

P(neither available) = 0.04 * 0.04

P(neither available) = 0.0016

Therefore, the probability that neither fire engine is available when needed is 0.0016.

To calculate the probability that a fire engine is available when needed, we can simply use the given probability of 0.96:

P(available) = 0.96

Therefore, the probability that a fire engine is available when needed is 0.96.

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Answer:

x + 3

Step-by-step explanation:

x - 117 + 120

= x + ( 120 - 117 )

= x + 3

Answer:

Step-by-step explanation:

You have a piecewise-defined function that you want to evaluate at 6 different points.

The first step in evaluation is to determine the applicable function definition. You do this by comparing the argument value to the list of domains.

Here, the 1st and 3rd arguments (5, 8) are in the last domain listed (x ≥ 5).

The 2nd argument (-4) is in the second domain listed (-5 < x < 5).

The last 3 arguments (-5, -9, -8) are in the first domain listed (x ≤ -5).

The corresponding function definitions are used for evaluation: put the argument value where x is, and do the arithmetic.

A calculator or spreadsheet can help. Conditional evaluation lets you implement the function definition with little trouble.

The player with the greater final score is of:

Barry.

Barry's final score is given as follows:

45.

Then we have to obtain Lee's score, from the description given in the missing information section.

Lee's scored is obtained as follows:

Thus Lee's final score is given as follows:

-55.

The classifications of the final scores according to the signals are given as follows:

A positive score will always be greater than a negative score, hence Barry had the greater final score.

Lee and Barry play a trivia game in which questions are worth different numbers of points. If a question is answered correctly, a player earns points. If a question is answered incorrectly, the player loses points. Lee currently has -350 points.

a. Before the game ends, Lee answers a 275 -point question correctly, a 70 -point question correctly, and a 50 -polnt question incorrectly. Write and find the value of an expression to find Lee's final score.

b. Barry's final score is 45. Which player had the greater final score?

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Answer:

3:5

Step-by-step explanation:

If 3/8 of the sweets are red, then the remaining 5/8 must be blue.

Next, to find the ratio of red sweets to blue sweets, compare the two proportions. This gives \(\frac{3}{8}:\frac{5}{8}\)

Multiply both sides of the proportion by 8 to get nicer looking numbers and you get a ratio of 3:5

Answer:

therefore reece'sis 16 years old

Step-by-step explanation:

18+p=34

p+18-18=34-18

p=16