-------------------------

-------------------------

Answers

Answer 1

Answer:

1 < x < 12

Step-by-step explanation:

The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.

Thus,

33 > 3x - 3

Solve for x

33 + 3 > 3x - 3 + 3

36 > 3x

36/3 > 3x/3

12 > x

To ensure the angle is not 0 or negative, thus:

3x - 3 > 0

Solve for x

3x - 3 + 3 > 0 + 3

3x > 3

3x/3 > 3/3

x > 1

Possible range of values of x would be:

1 < x < 12


Related Questions

Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.

Answers

(8.4 / 6) + 3.2

Hope this helps :)

Write 56/1000 as a decimal.

Answers

Answer:

0.056

Step-by-step explanation:

Answer:

56/1000 = .056

Step-by-step explanation:

56/100 = .56

56/1000 = .056

56/10000 = .0056

Someone help pleasee need it asappp anyone??

Answers

Answer:

c i think

Step-by-step explanation:

im sorry if its wrong

Which of the following numbers has the most number of significant digits?

A. 1.56
B. 23.07755
C. 500.005
D. 1.005

Answers

B. 23.07755 has 7 significant digits

Answer: B. 23.07755 has 7 significant digits

Step-by-step explanation:

3^4 + 4 ⋅ 5 = ____. (Input only whole numbers.)

Answers

Answer:

101.

Step-by-step explanation:

3^4 equals 81.

4 times 5 is 20.

81 plus 20 equals 101.

Your answer is 101.

Estimate 16.82-8.264 by first rounding each number to the nearest tenth.


pls help i need the right answer!

Answers

Answer:

so the answer is about 8.40

Steps

--------------------------------------------------------------------------------------------------------------

find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same

16.820⇒16.82

--------------------------------------------------------------------------------------------------------------

8.264⇒8.364

Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.

--------------------------------------------------------------------------------------------------------------

now that we have rounded everything. It is time to estimate 16.82-8.364.

16.82 is close to 16.80 and 8.364 is close to 8.40.

16.80-8.40=8.40

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
16, 80,400,...
16,80,400,...
\text{Find the 6th term.}
Find the 6th term.

Answers

Given:

The sequence is:

[tex]16,80,400,...[/tex]

To find:

The 6th term of the given sequence.

Solution:

We have,

[tex]16,80,400,...[/tex]

Here, the first term is:

[tex]a=16[/tex]

The ratio between consecutive terms are:

[tex]\dfrac{80}{16}=5[/tex]

[tex]\dfrac{400}{80}=5[/tex]

The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.

The nth term of a geometric sequence is:

[tex]a_n=a(r)^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Substitute [tex]a=16,r=5,n=6[/tex] to get the 6th term.

[tex]a_6=16(5)^{6-1}[/tex]

[tex]a_6=16(5)^{5}[/tex]

[tex]a_6=16(3125)[/tex]

[tex]a_6=50000[/tex]

Therefore, the 6th term of the given sequence is 50000.

Two numbers total 70 and have a difference of 12. Find the two numbers.

Answers

Answer:

58 and 12

Step-by-step explanation:

CHECK:

58 + 12 = 70

70 - 58 = 12

NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT

Answer:

x is 41 and y is 29

Step-by-step explanation:

x plus y is 70 and x minus y is 12

subtract 2 from 1

2y=58

y is 29 and x is

29 plus x is 70 so.....x is41

the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help​

Answers

Step-by-step explanation:

a_n=6-n

➜a_1=6-1

➜5

➜,a_2=6-2

➜4

➜a_3=6-3

➜3

➜a_20=6-20

➜-14

The SOLT missionaries are throwing a birthday party. There is obviously cake. Mr. Daniel only wants 1/2 of a piece. Mr. Richie eats half of Mr. Daniel's leftover. Ms. Laura eats half of the remaining piece. Ms. Kimberly eats half of Ms. Laura's leftover. Seven more missionaries keep sharing the piece of cake following the same pattern. If Ms. Sarah is the last of the seven, how big is the piece that Ms. Sarah eats?

Answers

Answer:

1/ 112

Step-by-step explanation:

1-½ = ½ ( Mr. Daniel's leftover)

½×½= ¼ ( Mr. Richie)

½×¼= 1/8 ( Ms Laura)

½×1/8 = 1/16 ( Ms. Kimberly)

1/7 × 1/16 = 1/ 112 (the last turn)

so, Ms. Sarah eats 1/ 112 of a piece.

Does anyone know the answer?

Answers

Answer:

D is the right graph

Round 0.598 to the nearest hundredth.

Answers

Answer:

.60

Step-by-step explanation:I need brainliest for the next rank I’d appreciate it

RIGHT ANSWER GETS BRAINLIEST!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

Tahnks for the brainlt

Find the volume. Use pi as part of the equation. Round to the nearest 10th

Answers

Answer:

301.4 ft.

Step-by-step explanation:

The radius of this circle is 4; the height of this circle is 6.

Using the formula, πr²h, we can plug-in the unknown values.

In the formula, 'r' means radius, 'h' means height, 'π' means pi. 3.14 is often a substitute for pi.

πr²h - π4² · 6 = 301.44.

301.44 rounded to the nearest tenth is 301.4.

Therefore, the volume of this cylinder is 301.4 ft.

There is no volume!!!

$3 is what percent of $6

Answers

Answer:

50 percent

1/2 of 6 is 3

Answer:

50 percent

Step-by-step explanation:

please help me i cant get it right

Answers

Answer:

-60%

22   -     56

__________         x 100 ~      -60.7                    

                                        ~

      56                                    

Round 60.7

-60%

Hope this helps

                                                                                          -Tobie the dog <3

Answer:

61%

Step-by-step explanation:

1) We are changing the percent from 56 down to 22

2) This means that there will be a negative change in percent

3) This is because the new value (22) is smaller than the old value (56)

4) We must find the change from 56 to 22 in a percent

1) Find the difference between 56 and 22 as a number.

The difference between 56 and 22 is 34

2) Divide the result from Step 1 by the starting number 56.

34 ÷ 56 = 0.60714285714

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

0.60714285714 x 100 = 60.71

4) Round the result from step 3 to the nearest percent.

60.71 ≈ 61%

Make sure you round to the nearest whole percent. In this case it would be 61%

Use the disributive property to finish the expression that is equivalent to 12 + 4x.
12 + 4x = ___ (3 + x)​

Answers

Answer:

12 + 4x = 4(3 + x)

Step-by-step explanation:

Think about what you need to multiply (3 + x) by to get 12 + 4x.

Please help out with this Geometry problem !!!

Answers

Answer:

176 i think seeing as area is multiplication

Step-by-step explanation:

Answer:

Solution given;

AB=16ft

AD=11ft

Area of triangle=½(11*16)=88ft²

Since it is pentagon

it has 5similar triangle

Area of pentagon=5×88ft²=440ft²

440ft² is a required area.

The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?

Answers

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.

Answers

Answer:    1  question left blank

He answered 16 questions correctly, and got 3 wrong answers.

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

Explanation:

Let

x = number of questions that are correct y = number of wrong answers z = number of questions left blank

x,y,z are nonnegative whole numbers.

-------------------

Since there are 20 questions total, this means the first equation to set up is:

x+y+z = 20

Solving for y leads to

x+y+z = 20

y+z = 20-x

y = 20-x-z

We'll use this later.

-------------------

Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.

Let's plug the equation in which we isolated y

7x-4y = 100  

7x-4(20-x-z) = 100

7x-80+4x+4z = 100

7x+4x+4z = 100+80

11x+4z = 180

-------------------

Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.

If x = 0, then,

11x+4z = 180

11(0)+4z = 180

4z = 180

z = 180/4

z = 45

So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.

If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation

So another solution is (x,z) = (4,34)

Note that

11x+4y = 180

11(4) + 4(34) = 180

But like before, z = 34 isn't possible since 20 is the max.

Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.

Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.

Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.

Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.

We can see that:

7x-4y = 7(16)-4(3) = 112-12= 100

meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.

-------------------

To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)

Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.

1) lucy is playing a game where she has to roll a fair number cube with faces labeled from 1 to 6 . what is the probability that she will roll either a 3 or a 4 on her next roll?
a) 4/6
b) 2/6
c) 3/6
d) 1/6

Answers

answer

c

Step-by-step explanation:

this is correct

Answer:

B. That's the right answer I guess

helllppp porfavor:,)

x/9=15/2 rounded to the nearest tenth

20/8.7=5.8/x to the nearest tenth

5/16=11/x nearest tenth

x/0.06=17/0.5 to the nearest tenth

29/x=75/44

Answers

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

HELPPPPPP PLEASEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

m*n= [tex]\sqrt{x} mn-n2, then 5 *3\\[/tex]

Answers

Answer: √x15 - 6
M = 5
N = 3
The x is still present because there is no known equivalent to x.
The 15 is the mm
The minus 6 comes from n2 ( 3 x 2 )

11. Which expression is equivalent to
8x - 2y + x + x?
a. 4x
b. 8x
c. 6x - 2y
d. 10x - 2y

Answers

Answer:

[tex]10 x - 2y[/tex]

Step-by-step explanation:

[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]

Hope it is helpful...

The temperature in Juneau, Alaska at noon was -8 degrees Celsius. By 1 PM, the temperature increased by 10 degrees. Draw a number line to represent the situation and determine the temperature at 1 PM.

Answers

Answer:

2 degrees

Step-by-step explanation:

1) The temperature at 12:00 PM was -8 degrees celsius

2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM

3) -8 + 10 = 2

4) The temperature at 1:00 PM was 2 degrees celsius

5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end

6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius

7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM  

I hope this helps :D

Answer:the answer is -4f

Step-by-step explanation:

Help me please ASAP!!!

Answers

Answer:

answer c

Step-by-step explanation:

Answer:

D. 116 square cm

Step-by-step explanation:

This is because the formula to find the area of a triangle is h(b/2). 15 divided by 2 is 7.5 and 7.5 multiplied by 4 is 30. The square's area is 16 and the parallelogram  70. 70 + 30 + 16 = 116.

find the
percent of change.
35 pounds to 42 pounds

Answers

Answer:

I think it is 20%.

Step-by-step explanation:

35 * 0.2 = 7

35 + 7 = 42

4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.

PLEASEEE HELP

Answers

Answer:

The estimated number of children who attended the parade is 6,336.

Step-by-step explanation:

Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:

(10,560 / 50) = 211.2

211.2 x 15 x 2 = X

211.2 x 30 = X

6.336 = X

Therefore, the estimated number of children who attended the parade is 6,336.

plz help and show work plz

Answers

Answer:

x=5,1,4

Step-by-step explanation:

a

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