Which set of angle measures could be measures of the interior angle of a triangle?

Answer:

The median is 3.5

Step-by-step explanation:

We want to find the median of the set of values.

First, we need to write the set in ascending order.

We get:

1 five times

2 three times

3 five times

4 two times

5 seven times

6 four times

The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:

{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}

In this set we have

5 + 3 + 5+ 2  +7 + 4= 26 values

So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)

We can see in the set above that these values are:

3 and 4.

Then we want to take the mean between 3 and 4.

We get:

M = (3 + 4)/2 = 3.5

The median of this set is 3.5

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.

Answer:

m = 2, initial value = 4.5 or $4.50

Step-by-step explanation:

We know that renting a raft costs 2 dollars/hr plus some rental fee that we need to find.

We also know that renting a raft for 4 hours will cost $12.50. So we can do this:

$12.50 - (2.00 [tex]\frac{dollars}{hrs}[/tex] × 4 hrs) = $4.50, which is the "b" in the standard equation for y = mx + b

So, our equation is y = 2x + 4.5

The rate of change is the slope, which is the coefficient of the x.

m = 2

Our initial value is when x = 0.

y = 2(0) + 4.5

y = 4.5

Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

Answer:

Step-by-step explanation:

180-53-(90-9)=46

sin53/p=sin46/24

p=24sin53/sin46

p=26.65ft

The length of the pole with the given shadown is 26.6 feet long.

The height of the pole is determined from trignometry property of right triangle.

The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.

The length of the pole is calculated as follows;

L/sin53 = 24/sin46

L = (24 x sin53) / (sin 46)

L = 26.6 ft

Thus, the length of the pole with the given shadown is 26.6 feet long.

Learn more about angle of elevation here: https://brainly.com/question/25748640

Answer:

451

Step-by-step explanation:

7, 17, 30, 51, 85, 137, 212

Differences between              Difference between             Difference between

numbers in sequence             first differences                    second differences

17 - 7 = 10

30 - 17 = 13                                          3      

51 - 30 = 21                                          8                                                   5

85 - 51 = 34                                         13                                                  5

137 - 85 = 52                                       18                                                  5

212 - 137 = 75                                      23                                                 5

                          75 + 28 = 103

212 + 103 = 315                                  28                                                 5

                         103 + 33 = 136

315 + 136 = 451                                   33                                                5

Answer:

She earned $12.60 per hour

Step-by-step explanation:

Pay was $412.65

Hours worked = 16.5 + 16.25 = 32.75 hrs

hourly rate = $$/hrs = 412.65/32.75  = 12.6

She earned $12.60 per hour

Answer:

the original price of the shoes is $75

Step-by-step explanation:

x * 1.08 = 81

x = 81 / 1.08 = 75

75 * 1.08 = 81

Answer:

hi

Step-by-step explanation:

First of all let’s find out the slope of the line y = x +10

As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1

Now, we know that the product of two perpendicular lines is -1.

Thus, mn = -1 (considering slope of the second line as n)

Putting the value of m we get , n = -1

Now , y+5= -1( x -15) i.e y=-x + 10

if we compare again with the general equation then we find that.

The y intercept of the required equation is 10.

Thank You

Answer:

10

Step-by-step explanation:

First of all let’s find out the slope of the line y = x +10

As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1

Now, we know that the product of two perpendicular lines is -1.

Thus, mn = -1 (considering slope of the second line as n)

Putting the value of m we get , n = -1

Now , y+5= -1( x -15) i.e y=-x + 10

if we compare again with the general equation then we find that.

The y intercept of the required equation is 10.

Thank You

Answer:

Step-by-step explanation:

Wuh

Answer:

158? I am not really sure because I am in fifth grade, but I think it may be correct.

Answer:area=l×b

10×8=80cm* 2

perimeter =(l+b)2

10+8)*2

18×2

=36cm

Step-by-step explanation:

Answer:

read the explanation

Step-by-step explanation:

For A:

Perimeter is (10+8)*2=36

Area is 10*8=80

For B:

Perimeter is 10*4=40

Area is 10*10=100

Answer:

594

Step-by-step explanation:

Answer:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

Step-by-step explanation:

Given

[tex]Alloy\ 1 = 45\%[/tex]

[tex]Alloy\ 2 = 95\%[/tex]

Required

How much of each alloy is needed for 70% silver alloy 139 tons

Let the amount of alloy 1 needed be x and the amount of 2 needed by y.

So:

[tex]x + y = 139[/tex]

Make y the subject

[tex]y = 139 - x[/tex]

The percentage of each needed is represented as:

[tex]45\% * x + 95\% * y = 139[/tex]

[tex]45\% * x + 95\% * y = 70\% * 139[/tex]

[tex]0.45x + 0.95y = 0.70 * 139[/tex]

[tex]0.45x + 0.95y = 97.3[/tex]

Substitute 139 - x for y in the above equations

[tex]0.45x + 0.95*(139-x) = 97.3[/tex]

[tex]0.45x + 0.95*139-0.95*x = 97.3[/tex]

[tex]0.45x + 132.05-0.95x = 97.3[/tex]

Collect Like Terms

[tex]0.45x -0.95x = 97.3-132.05[/tex]

[tex]-0.50x = -34.75[/tex]

Make x the subject

[tex]x = \frac{-34.75}{-0.50}[/tex]

[tex]x = 69.5[/tex]

Recall that:

[tex]y = 139 - x[/tex]

[tex]y = 139 - 69.5[/tex]

[tex]y = 69.5[/tex]

This implies that:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

Answer:

$62.10

Step-by-step explanation:

Answer:

The tip is 8.10

The bill is 62.10

Step-by-step explanation:

Answer:

there should be 3 half cups

Step-by-step explanation:

Answer for 1:

I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code

Answer for 2:

x = 28

Step-by-step explanation:

Since the overall angle is 90°, and we already have 33, we subtract 33 from 90

90 - 33 = 57

So we have to fill in the other 57°

2(28) = 56

56 + 1 = 57

So the answer is x = 28

Answer:

The answer is below

Step-by-step explanation:

Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea constructed a point Q that divides the directed segment from B to A in the ratio 1 to 2. How are points P and Q related? Explain.

Points P and Q are...

A.) two units apart. B.) the same point. C.) one unit apart.

Point P is ___ of the distance from A to B. [ A.) 2/3 B.) 1/2. C.) 1/3. ]

Point Q is of the distance from B to A. [ A.)1/3 B.). 1/2 C.)2/3. ]

The means the points lielocation along the line segment.

[ A.) At the same B.)At a different

Solution:

Since point P is divides the segment from A to B in the ratio 2 to 1 therefore:

P = 2/3 of the distance from A to B.

Since point Q is divides the segment from B to A in the ratio 1 to 2, therefore:

Q = 1/3 of the distance from B to A

2/3 of the distance from A to B = 1/3 of the distance from B to A

Therefore point P and point Q lie along the same line segment from A to B (or B to A) and the points P and Q are at the same point,

Answer:

ojalá te ayude

Step-by-step explanation:

la primera

2 2/5

Answer:

what is the question

Step-by-step explanation:

Answer:

ask Utah not me.........

Answer:

$185 is withheld

Step-by-step explanation:

3700 x .05 is 185.

Answer:

Image result for Which measure of spread is least affected by the long tail in the graph?

IQR

Answer: The IQR is least affected by the long tail on the right of the graph. The IQR is the inter-quartile range. It is the length of the box in the middle of the graph. Having the long tail on the right does not affect the box.

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

−14.2b+3.36d−216.05

Step-by-step explanation:

collect terms:(−14.2b−97.35)+((6.76d−3.4d)−118.7)

simplify: −14.2b−97.35+3.36d−118.7

terms: −14.2b+3.36d+(−97.35−118.7)

simplify: −14.2b+3.36d−216.05