Number 11. Find angle GJK

Answer:

21

Step-by-step explanation:

First you have to solve for x in the equation 2x + 9 = 23. Cancel 9 on both sides. You cancel 9 by subtracting 9 on the left side and on the right side:

23 - 9 = 14.

Now, you have 2x = 14. To isolate the variable, divide by 2 to cancel out 2.

14 / 2 = 7.

This will give you x = 7. Now that you know what x equals, you can substitute x in 3x. This would make it 3(7), or in other words 3 x 7.

3 x 7 = 21.

This means that 3x would be equal to 21. Hope it helps!

Answer:

[tex]2x + 9 = 23 \\ x = \frac{23 - 9}{2 } \\ x = \frac{14}{2} = 7[/tex]

Step-by-step explanation:

3 is the correct answer

Answer:

See attached

Step-by-step explanation:

The answers are in the picture below

Answer:

1) 11-y= -9

2)41+w= 26

3)r/6= 4

4)18×p= 54

5)v/-4= 13=>v= -54; yes

6)108= -36z=>z= 108/(-36)=>z= -3; yes

7)27=n-16=>n=27+16=>n=43;not a solution

8)84=78+t=>t= 84-78=>t= 6; not a solution

9)a/2=36------------B. What number divided by 2 equals 36?

10)2a=36------------C. 2 times what number equals 36?

11)2+a=36-----------D. 2 plus what number equals 36?

12)a-36=2-----------A. What number minus 36 equals 2?

Answer:

Step-by-step explanation:

Rewriting the given as factors:

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

So correct choice is C

Answer:

I'm pretty sure the answer to this is y=3

Answer:

6, 12, 18, 24. 30, 36, 42, 48, 54

Step-by-step explanation:

divide 54 by 6 so you know how many times you have to multiply 6 then multiply 6 by 1, 2, 3, 4, 5, 6, 7, 8, 9 to get the answers.

Answer:

not 100% confident but I think this is at least close

Step-by-step explanation:

solve for one variable

1. x-5y=2

x=2+5y

plug this in to another equations and simplify

2. (2+5y)-y=16

2+4y=16

4y=14

y=3.5

this can be plugged in to all other equations to find x

1. x-5(3.5)=2

x-17.5=2

x=19.5

2. x-(3.5)=16

x=19.5

3. 2x-(3.5)=5

2x=8.5

x=4.25

4. x-3(3.5)=4

x-10.5=4

x=14.5

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

Step 1: Take L.C.M of the denominators

[tex]LCM = (n+3)(n-4)[/tex]

Step 2: Evaluate the fractions

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

Step 3: Open the brackets at the numerator

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

Step 4: Collect and evaluate like terms

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Follow the above steps, and you'll be able to solve your question.

Answer:

the answer would be -10

Answer:

20.. ... ...... .. ........

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Step-by-step explanation:

there is a typo

Answer:

The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Answer:

[tex]\huge\boxed{m\angle P = 94\textdegree}[/tex]

Step-by-step explanation:

In order to answer this question, we need to note a couple of things about the angle relationships in a pentagon.

Since we know the sum of all of the angles will be 540, we can create an addition statement to find out the value of x.

[tex]132 + (4x-10) + (5x-11) + 128 + (4x+2)=540[/tex]

Let's solve for x.

Now that we know the value of x, we can substitute it into the expression for point P ([tex]4x+2[/tex]) to find it's value.

Therefore, the angle of measure P is 94°.

Hope this helped!

Answer:

ummmmmmm

Step-by-step explanation:

c

Answer:

<d<e<f

Step-by-step explanation:

the angle order

d is smallest angle

f is largest angle

Answer:

C

Step-by-step explanation:

just did it

Answer:

The answer is A.

Step-by-step explanation:

The question is basically asking which number, added to 3.5, gives you -4.3.  You just have to do the operation -4.3 - 3.5 to get the answer.  You just need to do the inverse.  You should end up with -7.8.

Answer:

63°

Step-by-step explanation:

ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides

∠EBA = 90 - 27 = 63

∠EBC = ∠EAB = 63°

Answer:

19.99cm

Step-by-step explanation:

[tex]\pi r^{2}h = 3077.2\\[/tex]

plug in 7 for r and you get:

49pi x h = 3077.2

h = 19.99m

This question is incomplete, the complete question is;

You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have blonde hair ?

Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Blonde Red Brown Black Gray

31          25       18      40     42

Answer: the probability that the next person who leaves the lecture will have blonde hair is 0.1987

Step-by-step explanation:

Given that;

HAIR COLOR      FREQUENCY

Blonde                         31

Red                              25

Brown                          18

Black                           40

Gray                            42

Total                           156

So

there were 156 people all together

and out of the 156, 31 of them were blonde.

now the probability that the next person who leaves the lecture will have blonde hair will be;

⇒ 31 / 156 = 0.1987

Therefore, the probability that the next person who leaves the lecture will have blonde hair is 0.1987

Answer:

D. 44 pounds

Step-by-step explanation:

I believe this is the answer, I have not done this in a while so let me know how I did :)

Answer:

125c^3 * 27c^6

Step-by-step explanation:

(5c * 3c^2)^3

Distribute the cube:

5^3=125 3^3=27

When raising a power to a power we multiply the exponents:

125c^3 * 27c^6

Answer: uhhh

Step-by-step explanation: