Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.
A. 122.9 cm2
B. 30.7 cm2
C. 8.6 cm2
D. 3.4 cm2

Answers

Answer 1
The area of the circle is calculated through the equation,
           A = πr²
where A is the area and r is the radius. An alternate equation can be used,
          A = πD²/4
where D is the diameter. 

Substituting the known value to the equation,
          A = π(9.1 cm)² / 4 
          A = 65.03 cm²

The area of the sector, As, is calculated by multiplying the area of the circle by the ratio of the angle to the whole revolution.
          As = (65.03 cm²) x (170°/360°)
          As = 30.71 cm²

The answer to this question is therefore letter B. 
Answer 2

To find the area of a sector given a central angle and diameter, use the formula A = ([tex]\frac{\theta}{360}[/tex]) x π x r². In this case, with a central angle of 170° and a diameter of 9.1 cm, the area of the sector is approximately 30.7 cm².

The area of a sector with a central angle and a diameter can be calculated using the formula for the area of a sector:

A = [tex]\frac{\theta}{360}[/tex] x π x r². First, convert the diameter to radius (r = d/2), then substitute the values into the formula to find the area. In this case:

Central angle (θ) = 170°

Diameter (d) = 9.1 cm

Radius (r) = 4.55 cm

Area (A) = ([tex]\frac{170}{360}[/tex]) x π x (4.55)² ≈ 30.7 cm²

Therefore, the area of the sector is approximately 30.7 cm².


Related Questions

Give an example of a compound inequality that has no solution

Answers

-3 < x < -8

There is no value of c that is greater than -3 AND less that -8

An example of a compound inequality that has no solution:

x >5 and x < -4.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What is Number Line?

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

 |____|____|____|____|____|____|____|____|____|____|

-5       -4      -3      -2       -1        0       1        2       3        4       5

Here is an example of a compound inequality that has no solution:

x >5 and x < -4.

x may be both higher than 5 and less than -4.

Here it is not possible that x can be both lower than -4 and larger than 5.

Hence, these inequalities have no solution.

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A conjecture becomes a theorem after it has been proven true by logic.
True or False

Answers

The answer is true not false so don't pick false its wrong

True, A conjecture becomes a theorem after it has been proven true by logic.

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 sentence is,

''A conjecture becomes a theorem after it has been proven true by logic.''

Now, We know that;

Conjectures are unproven claims.

Hence, Once someone proves a conjecture, it is called a theorem.

Thus, A conjecture becomes a theorem after it has been proven true by logic.

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Answer the word problem:

Taylor and Blair are driving away from each other in opposite directions. If Blairs speed is 70mph and Taylors speed is 80mph, how many hours will it be before the two are 225 miles apart?

Answers

If they drive in opposite directions it will take 1.66 hours for them to get 225 miles away from each other.

It will take 1.5 hours (or 1 hour and 30 minutes) before Taylor and Blair are 225 miles apart.

To find out how many hours it will be before Taylor and Blair are 225 miles apart, we can set up an equation based on the distance they travel.

Since they are driving away from each other in opposite directions, their distances add up to the total distance they will be apart.

Let t be the number of hours it takes for them to be 225 miles apart.

Distance traveled by Blair = Blair's speed * time (d = r * t)

Distance traveled by Taylor = Taylor's speed * time (d = r * t)

The total distance they will be apart is 225 miles:

Blair's distance + Taylor's distance = 225 miles

(70 mph * t) + (80 mph * t) = 225 miles

Now, solve for t:

70t + 80t = 225

150t = 225

t = 225 / 150

t = 1.5

So, it will take 1.5 hours (or 1 hour and 30 minutes) before Taylor and Blair are 225 miles apart.

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where does the line y = 3x + 5 cross the y-axis

Answers

In a slope-intercept form y = mx + b, b is the y-intercept.

So, in the equation y = 3x + 5, 5 is the y-intercept.

Choose the correct description of the graph of the compound inequality: 3x + 2 > 5 and 3x less than or equal to 9 A:number line with an open circle on 1, shading to the left, and a closed circle on 3, shading to the right B:number line with a closed circle on 1, shading to the left, and an open circle on 3, shading to the right C:number line with a closed circle on 1, an open circle on 3, and shading in between D:number line with an open circle on 1, a closed circle on 3, and shading in between

Answers

3x + 2 > 5

3x > 3
x > 1

3x<= 9
x <= 3

there will be an open circle on 1 because  it does not include 1 But a closed circle on 3.

1 < x <= 3

So it is D.

Answer:

Step-by-step explanation:

D

y=4x-9
y=x-3
asking another question
appreciate any answers
edit: find x and y
(x,y)

Answers

4x-9=x-3
4x=x+6
3x=6
x=2

y=(2)-3
y= -1

Final answer: (2,-1)
solve by subsitution

y=4x-9=y=x-3

4x-9=x-3
minus x both sides
3x-9=-3
add 9 to both sides
3x=6
divide by 3 both sides
x=2

sub ack

y=x-3
y=2-3
y=-1

x=2
y=-1
(x,y)
(2,-1)

the base of a side of a ramp is 3 meters, and the height is 0.6 meters. what is the area of the triangular side of the ramp in square meters

Answers

area = base x height divided by 2

3*0.6 = 1.8/2=0.9 square meters


Jones is the chairman of a committee. in how many ways can a committee of 5 be chosen from 10 people given that jones must be one of them?

Answers

Since Jones is mandatory, you have 9 people to choose from for the second seat, then 8 for the third, 7 for the fourth, and finally 6 for the fifth.

So your equation is
1(Jones) • 9( possibilities left) •8( possibilities left)• 7( possibilities left)• 6( possibilities left)
Or

1 • 9 • 8 • 7 • 6
=
3,024 possible ways in which a committee of 5 can be chosen from 20 people given that Jones must be one of them.

Final answer:

A committee of 5 can be chosen in 126 different ways from 10 people if Jones must be one of them, by using the combination formula C(9, 4) to choose the remaining four committee members from the other nine people.

Explanation:

To determine in how many ways a committee of 5 can be chosen from 10 people given that Jones must be one of them, we need to apply the concept of combinations in probability and combinatorics. Since Jones must be on the committee, we are actually choosing the remaining 4 members from the remaining 9 people.

The number of ways to choose 4 people out of 9 is calculated using the combination formula, which is:

C(n, k) = n! / (k!(n - k)!), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.

Applying this to our scenario:

C(9, 4) = 9! / (4! * (9 - 4)!) = 126

Therefore, there are 126 different ways to form the committee if Jones is already chosen as one member.

WILL GIVE A BRAINLIEST IF YOURE RIGHT PLEASE HELP ASAP!!


Find the greatest possible error for each measurement.

18.9 m

a.
0.01 m
b.
0.5 m
c.
9.45 m
d.
0.05 m

Answers

the greatest possible error for meters is 1/2 the increments

 since 18.9 is to the tenths place

 1/2 x 1/10 = 0.05

 so greatest possible error for 18.9 is 0.05m

The coordinate plane below represents a town. Points A through F are farms in the town.

graph of coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3.

Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A. (3 points)

Part C: Chickens can only be raised in the area defined by y > 3x − 4. Explain how you can identify farms in which chickens can be raised. (2 points)

Answers

To solve this, use the point - slope form formula
Point D (-4, 2) and Point E (-1, 5)
y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)
y - 2 = [(5 - 2/-1 -(-4))](x + 4)
y - 2 = x + 4
y = x + 6

To answer this, input the values of points D or E into the equation and make sure that they answer the equation in part A.
y = x + 6
2 = -4 + 6 = -2 so it satisfies the solution

Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9

Answers

Answer:

Justin should have Multiplied 3.8 and 7.9 first

Step-by-step explanation:

Because all these people that have the wrong answer got me mad

Justin should have multiplied 3.8 and 7.9 first. Therefore, option C is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 12.5 + 3.8x.

When x=7.9 in the given expression, we get

12.5+3.8(7.9)

= 12.5+30.02

= 42.52

Justin should have multiplied 3.8 and 7.9 first. Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9.

12.5+3.8(7.9)

16.3(7.9)

128.77

What was Justin's error?

1) Justin should have multiplied 12.5 and 7.9 first.

2)  Justin should have added 12.5 and 7.9 first.

3)  Justin should have multiplied 3.8 and 7.9 first.

4)  Justin should have added 3.8 and 7.9 first.

What is the inverse of 2x-6y=1

Answers

-1/3 x should be the correct answer.

Does anyone know how to make these statements false with a counterexample? 1) The reciprocal of each natural number is a natural number. 2) The opposite of each whole number is a whole number. 3) There is no integer that has a reciprocal that is an integer.

Answers

1. Natural numbers are also known as "counting numbers", and are whole numbers starting at 1. A simple example set is {1, 2, 3, 4, 5}. The reciprocal of a number is 1 divided by that number. The reciprocal of 2 is 1/2; this is not a natural number. 2. The set of whole numbers includes natural numbers and zero. A simple example set is {0, 1, 2, 3, 4}. The opposite of 1 is -1; this is not a whole number. 3. The set of integers include whole numbers and their negative counterparts. A simple example set is {-2, -1, 0, 1, 2}. The reciprocal of 1 is 1, which is an integer.

A car moved at a constant velocity during the first hour. It stopped for 2 hours at a mall and then moved ahead again at a constant velocity for the next 3 hours. The car finally returned to its starting point with a constant velocity in the next 2.5 hours. Which of the following graphs best represents the car's motion?

First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 30 and fourth straight line joins 6, 30 and 8.5, 0
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 100 and fourth straight line joins 6, 100 and 8.5, 0
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 100 and fourth straight line joins 6, 100 and 9.5, 0
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 6, 100, and third straight line joins 6, 100 and 8.5, 0

Answers

You are given a car moved at a constant velocity during the first hour. It stopped for 2 hours at a mall and then moved ahead again at a constant velocity for the next 3 hours. Then you are given the car that has finally returned to its starting point with a constant velocity in the next 2.5 hours. The graph that best represents the car's motion is First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 100 and fourth straight line joins 6, 100 and 8.5, 0.

Answer:

First straight line joins ordered pairs 0, 0 and 1, 60; second straight line joins 1, 60 and 3, 60; third straight line joins 3, 60 and 6, 100; and fourth straight line joins 6, 100 and 8.5, 0.

Step-by-step explanation:

Starting at home is starting at (0, 0).

Traveling at the same velocity for an hour will connect (0, 0) to (1, 60).

Stopping at the mall for 2 hours will connect (1, 60) to (3, 60).

Going ahead again at a constant velocity for 3 hours will connect (3, 60) to (6, 100).

Returning to the starting point for 2.5 hours will connect (6, 100) to (8.5, 0).

PLEASE HELP ME FIGURE THIS OUT if i have 6 questions on a test, how many would i get wrong to get a score of 48%

Answers

if you get a score of 48% from 6, that means you've got 48% right, so the remainder is wrong, namely 100 - 48, or 52%.

now, how much is 52% of 6?

whatever% of anything is just (whatever/100) * anything.

thus 52% of 6 is just (52/100) * 6, that many.

Mr. Chavez spent $199.99 for a new smart phone, 3

Answers

Mr. Chavez spent $299.97 altogether. The estimated total matches approximately with the calculated total, confirming the accuracy of our answer.

To find the total amount Mr. Chavez spent, we need to add the costs of the smartphone, carrying case, and accessories.

Total amount = |-199.99| + |-39.99| + |-59.99|

Now, let's evaluate each absolute value:

|-199.99| = 199.99

|-39.99| = 39.99

|-59.99| = 59.99

Now, let's add them together:

Total amount = 199.99 + 39.99 + 59.99

Total amount = 299.97

So, Mr. Chavez spent $299.97 altogether.

Now, let's check the answer using estimation:

Round each amount to the nearest ten:

- $199.99 is approximately $200.00

- $39.99 is approximately $40.00

- $59.99 is approximately $60.00

Now, let's add them together:

Total estimation = $200.00 + $40.00 + $60.00

Total estimation = $300.00

The estimated total matches closely with the calculated total, confirming the accuracy of our answer.

The complete question is:

Mr. Chavez spent $199.99 for a new smart phone,$39 .99 on a carrying case, and $59.99 on accessories. The expression |-199.99|+|-39.99|+|-59.99| represents the total amount that Mr. Chavez spent. How much did Mr. Chavez spend altogether? Check your answer using estimation.

express 7x^3/4 in radical form

Answers

I'm assuming you mean [tex]7x^{ \frac{3}{4} [/tex].


If that is the case, [tex]7x^{ \frac{3}{4} }= \sqrt[4]{7x^{3}} [/tex] is the answer.

Answer:

7/34

Step-by-step explanation:


I need it asap!!!! Plz help 20 POINTS USED PLZ PLZ ASAP


What integer is closest to 13/3 divided by 2/11
Please give ur answer as a simplest fraction not a mixed number


Thanks

Answers

(13/3) : (2/11) 
To divide 2 fraction, you multiply the first one by the 'invert of the second.
The 1st one is 13/3
The invert of  the 2nd (2/11) is 11/2
Now you multiply: (13/3)x(11/2) = 143/6 ≈ 23.83, so this operation
is closest to 24


In the diagram below, is an altitude of DEF. What is the length of ? If necessary, round your answer to two decimal places.

Answers

1st Method:

Right triangles EGD and FGE are similar:
(∠G =90, ∠F=∠EDG - having their sides respectively perpendicular)

Then we can write:

EG/FG = GD/GE
7/4 = GD/7 , by cross multiplication→ 7² = 4.GD→ 49 = 4.GD and GD=12.5

2nd Method:

The altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse:

Then EG² = DG x GF
7² = 4 x GD and GD = 49/4 = 12.5

This chart shows the total average monthly cost of medical insurance benefits for employees working in the private sector in march 2006. for single coverage, the cost is $322.77, and for family coverage, it is $889.26. if an employee makes $10 per hour (after withholdings) and has to pay the full cost of single coverage medical insurance, about how many hours will he or she have to work each month simply to pay for the cost of the medical insurance

Answers

Final answer:

the employee would need to work approximately 32.3 hours per month to pay for their health insurance.

Explanation:

The student has inquired about the number of hours they would need to work each month to pay for the cost of single coverage medical insurance.

Given that the insurance costs $322.77 per month and the employee earns $10 per hour, we can find the number of hours required by dividing the total cost of the insurance by the hourly wage.

To calculate:
Hours required = Total cost of insurance ÷ Hourly wage

Hours required = $322.77 ÷ $10 = 32.277

Therefore, the employee would need to work approximately 32.3 hours per month (rounding to the nearest tenth of an hour) to pay for their health insurance.

how would the expression x^3-3√(3) be rewritten using difference of cubes

Answers

I'm not sure if this is what you mean, but the expression can be written as:
(x^3/2 + 3^3/4)(x^3/2 - 3 ^3/4)        or        ((√x)³ + (⁴√3)³)((√x)³ - (⁴√3)³)
 

Answer:

[tex]x^{3}-(\sqrt{x} )^3[/tex]

Step-by-step explanation:

The given expression is x³ - 3√3

We have to rewrite the expression in the forem of difference of cubes.

x³ - 3√3 = x³ - √(3)³

             = [tex]x^3-(3)^{\frac{3}{2}}[/tex]

             = [tex]x^{3}-(\sqrt{x} )^3[/tex]

Therefore, we can rewrite the expression as

[tex]x^{3}-(\sqrt{x} )^3[/tex]

Need help on 4.9.2 project: performance task: the subway stop

Answers

Final answer:

The subject of this question is Mathematics.

Explanation:

The subject of this question is Mathematics.

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2p2+3p-4 less -2p2-3p+4

Answers

2p^2 + 3p - 4 - (-2p^2 - 3p + 4) =
2p^2 + 3p - 4 + 2p^2 + 3p - 4 =
4p^2 + 6p - 8 <==

Answer:

[tex]4p^{2}+6p-8[/tex]

Step-by-step explanation:

Being a subtraction of polynomials, the second polynomial will change the signs of its terms and then the algebraic sum is done.

[tex]2p^{2} -3p-4 - (-2p^{2} -3p+4)[/tex]

changing the signs

[tex]2p^{2} -3p-4 +2p^{2}+3p-4[/tex]

performing indicated operations

[tex]4p^{2}+6p-8[/tex]

When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p, what is the constant of variation?

Answers

j = mk/p where k is the constant of variation.
32 = 2*k / (1/4)
Multiply both sides by 1/4.
8 = 2k
Divide both sides by 2.
4 = k

When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p, The k is the constant of variation that is 4.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p

j = mk/p

where k is the constant of variation.

32 = 2 x k / (1/4)

Multiply both sides by 1/4.

8 = 2k

Divide both sides by 2.

4 = k

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what is the length of the side of a square if the apothem is 7

Answers

Even though this is a square, it is still technically a polygon. That square has a center.  From that center we can draw 4 radii to each of the pointy parts of the square, creating 4 interior angles. Each one of those interior angles measures 90 degrees, cuz 360 degrees is all the way around the interior angles, ending up where you started off.  So that means that one of those representative triangles has a top vertex of 90. When we drop the apothem from that vertex, which is also the altitude of the triangle, we can cut that representative triangle into 2 right angles.  The altitude cuts not only the angle of 90 degrees in half (45 degrees), it cuts the side it goes through directly in half, too.  That's what we are solving for.  Actually, when we solve that it will only give us half the length of the base of the whole representative trianlge, but we can just multiply whatever length we find by 2 to find the whole base of the trianlge, which of course is the side length we are looking for.  When we pull out one of those right triangles, we have a top angle of 45, another angle of 90, so the third angle has to be a 45 as well (45-45-90) with a height of 7.  We can then use one of our right triangle trig identities to solve for the missing side of the right triangle.  If we use the base angle of 45 and the height of 7 (which is opposite the angle) and we are solving for the base (which is adjacent to the angle) we know that tangent has us covered:
[tex]tan45= \frac{7}{x} [/tex]
[tex]x*tan45=7[/tex]
[tex]x= \frac{7}{tan45} [/tex]
and x=7.  Now remember that that is only half the base of the whole triangle so the base is 7*2 which is 14. 14 is the length of one side of the square.  Well, actually 14 is the length of every side of the square right?

A company has an opportunity to bid on three contracts. Determine which would be the best investment given the information in the table below.

CONTRACT
PROFIT, (P)* OF PROFIT...(P)*. TO BREAK EVEN...LOSS, (P)* OF LOSS
Southeast
$45,000, 50%...30%...$6,000, 20%
Southwest
$60,000, 35%...40%...$10,000, 25%
California
$112,000, 20%...40%...$40,000, 40%
*(P)=PROBABILITY

a) Southeast
b) Southwest
c) California
d) All contracts include a probability for loss

Answers

CONTRACT  PROFIT, (P)* OF PROFIT...(P)*. TO BREAK EVEN...LOSS, (P)* OF LOSS

Southeast $45,000,            50%                       30%                           $6,000, 20%

Southwest $60,000,            35%                      40%                          $10,000, 25%

California $112,000,           20%                       40%                          $40,000, 40%


I think that the best contract would be with SOUTHEAST. It probability of having a profit is higher than the other two at 50% while its probability of incurring a loss is lesser than the other two at 20%. 

Despite the bigger value of its contract profit of the other two, these value will still be greatly affected by its corresponding probabilities.  

Answer:

It's A. Southeast

Step-by-step explanation:

What is the value of SM

Answers

The answer is 20. I worked with proportions (making 9/12=15/x)

9/15 = 12/x =

x = 180/9 = 20

answer is 20

Amal had 12 stuffed animals and gave 3 over 4 of them to charity. Maria had 6 stuffed animals and gave 1 third to charity Who had the most stuffed animals left?

Answers

3/4 of 12 = 9

So, 12-9=3

&

1/3 of 6 = 2

So, 6-2=4


3<4



Maria has the most stuffed animals left
To solve:

Amal gave away 3/4, meaning that he had 1/4 left.
Maria gave away 1/3, meaning she had 2/3 left.

Amal: (12)(1/4)=3 stuffed animals left
Maria: (6)(2/3)=4 stuffed animals left

Answer: Maria had the most stuffed animals left.

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2?

Answers

[tex]\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=3\\ r=\frac{1}{2}\\ n=8 \end{cases}[/tex]

[tex]\bf S_8=3\left( \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right)\implies S_8=3\left( \cfrac{1-\frac{1^8}{2^8}}{1-\frac{1}{2}} \right) \\\\\\ S_8=3\left( \cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=3\left( \cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\implies S_8=3\left( \cfrac{255}{256}\cdot \cfrac{2}{1} \right) \\\\\\ S_8=3\left( \cfrac{255}{128} \right)\implies S_8=\cfrac{765}{128}[/tex]

The sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is 5.9765625

Sum of geometric series

Series are the sum of sequences. The sum of geometric series is expressed as:

Sn = a(1-r^n)/1-r

Given the following

n = 8

a = 3

r = 1/2

Substitute

S8 = 3(1-(1/2)^8)/0.5
S8 = 3(1-1/256)/0.5
S8 = 3(255/256)/0.5
S8 = 5.9765625

Hence the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is 5.9765625

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the perimeter of a trapezoid is 39a-7. Three sides have the following lengths: 9a, 5a-1, and 17a-6. What is the length of the fourth side

Answers

Since there are 4 sides, the total minus the 3 other sides gives you the 4th side. 39a-7-9a is 30a-7, 30a-7-(5a-1)=30a-7-5a+1 (using the distributive property) =25a-6, 25a-6-(17a-6)=8a
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