A bus route currently has an average of 1,275 riders per day. A transportation engineer estimates that there will be 5.7% more passengers riding the bus route next year and 6.5% more passengers the year after that. According to the engineer’s estimate, about how many passengers will ride the bus route two years from now rounded to the nearest whole?

Answer: p = 115* (degrees)

What we know:

How to solve:

    By finding the degree of the 3rd angle in the right triangle, we can use the rules of supplementary angles to find the value of p.

    We will use D to represent the total amount of degrees, which will equal 180*. X will represent an unknown angle. An asterisk represents the degree symbol.

Missing right triangle angle

Set up equation                                                     D = 25 + 90 + x

Substitute                                                            180 = 25 + 90 + x

Simplify                                                                180 = 115 + x

Isolate variable                                                   -115    -115

Solution                                                               65* = x

Value of p using supplementary angles

Set up equation                                                     D = x + p

Substitute                                                           180 = 65 + p

Isolate variable                                                 -65     -65

Solution                                                              115* = p

Check:

We can do a check based on estimation. Assuming that the trapezoid and triangle form a box with all 90* corners and that p = 115*, then adding p and all of the other trapezoid angles should result in 360*

Firstly, we need the values of these 4 angles.

The first angle, labeled p, should be 115*. If our equation is untrue, then this value will fail the check.

The second angle will be the one at the bottom-left, which is 90* according to our box statement.

The third angle is the one located at the bottom-right, which is also 90* from the box statement.

The fourth angle is not 90* or 115*, but we can solve its value.

Because we have stated that the right triangle and trapezoid form a box with 4 90* corners, the sum of the fourth angle and the 25* from the right triangle must form a right angle. Let's find the value:

D = 25 + x

90 = 25 + x

(90 = 25 + x) - 25

65* = x

Therefore, the fourth angle has 65*

Now, adding the degrees from all 4 angles should result in a total of 360*. If it does, then our value of p = 115* will pass the check.

D = 90 + 90 + p + x

360 = 90 +90 + 115 + 65

360 = 180 + 180

360 = 360

Therefore, p = 115*

Answer:

C

Step-by-step explanation:

A and B are out because we can already tell that 65 and 75 are smaller than the 90 degrees whichs this angle is even higher than.If you see or use a protrater you can see it seems more likely to 115 because 155 would be much more open.

Answer:

for 8,,

the answer is b,d,f

We can acknowledge the differences between the x-point and the y-point. When we do x-y it is supposed to be "6" the only letters that are correct is b,d,f

solution = 4 ?

6 * 4 - 3 = 24 - 3 = 21 not 45 so 4 is not the solution

the solution = 8

6 * 8 - 3 = 48 - 8 = 45

Answer:

8

Step-by-step explanation:

Let us first sole the equation for x.

6x - 3 = 45

-> 6x = 45 + 3

-> 6x = 48

-> x = 48/6

-> x = 8

Thus 8 from the set {4, 5, 6, 7, 8} makes the equation 6x - 3 = 45 true.

Answer: you multiply the 2 numbers and divide it by half then your answer is the easy way to do it.

Step-by-step explanation:

Answer:

1. Inconsistent

2.Inconsistent

3.Inconsistent

4.Consistent

5.Consistent

6.Consistent

Step-by-step explanation:

I tried my best , I’m not sure if these are correct through

Answer:

C

Step-by-step explanation:

6⁴ = 24

6(‐²) = -12

24 -12 = 12

12÷ 6 = 2

so 12²

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

So, there are 8 pieces with color and 1 piece without the wanted color.

The equation for finding the probability is:  [tex]\frac{sum of terms }{number of terms }[/tex]

Therefore: 3 + 5 = 8  and 9 pieces in total

so the correct answer should be 8/9

Answer : Add Both Together And You Get = 84

Brushes :  8 * 3 = 24

Paints : 10 * 6 = 60

Answer:

[tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]

Answer:

Mean: 86

Meadian: 85

Mode: 85

Step-by-step explanation:

Mean: Add up all numbers and divide by 9

Median: Count a number twice such as 85, add 85+85 and divide by 2

Mode: Most occuring number. 85 is the mode.

Answer:

13.1926121372

Step-by-step explanation:

Use a calculator

Answer:

∠M will be 147°

Step-by-step explanation:

Supplementary means adding up to 180° so take your 180° to subtract 33° from it and you'll have your answer.

Answer:

147

Explanation:

Supplementary angles all equal to 180, so that means that <M and <N must be both equal to 180.

If you want to find <M, you have to do 180 - 33, which equals to 147.

Answer: 44

Step-by-step explanation:

3 times 10 is 30

7 times 2 is 14

add it, then boom 44

Answer:

big rectangle

7*10

70

small rectangular

l=10-2

8

b=7-3

4

area=8*4

32

area of shaded

big rectangular - small rectangular

70-32

38

Answer:

f(x) = x

Step-by-step explanation:

it's the only one that is a straight line in a graph

Answer:

3(trapezoid): 71.5

Right Triangle: 6.5

2(scalene triangle): 24

Step-by-step explanation:

Answer:    Find the area of the trapezoid!

= 1012 meters

Step-by-step explanation:

Surface Area = 2×(12×13 + 12×14 + 13×14)

Hopefully this helps you!

-Keira

Answer:

169 mi²

Step-by-step explanation:

To find the area of a trapezoid, use this formula:

[tex]A=\frac{a+b}{2} h[/tex]

"a" and "b" represent the two bases (12 mi and 14 mi), and the "h" stands for height (13 mi). Insert these values into the equation.

[tex]A=\frac{12+14}{2} 13[/tex]

[tex]A=\frac{26}{2} 13[/tex]

[tex]A=13 * 13\\= 169[/tex]

Therefore, A = 169. :)

Answer:

Step-by-step explanation:

6square-7(14-3square)

36-7(14-9)

36-7multiply by 5

36-45

=. -9

Answer:

u = ±8

Step-by-step explanation:

Given:  u^2 = 64.

Solve for u by taking the square root of both sides AND putting the ' ± ' symbol in front of the right side:

√u² = ±√64, or u = ±8

Answer:

[tex]u=8,\ u=-8[/tex]

Step-by-step explanation:

u² = 64

[tex]u\² = 64\\\\[/tex]              <== you take the square root of both sides

[tex]\sqrt{u\²} = \±\sqrt{64} \\\\[/tex]

[tex]u= \±8\\\\[/tex]              <== (u = plus or minus 8)

[tex]u=8,\ u=-8\\[/tex]

Hope this helps!

Answer:

x= 3/2

Step-by-step explanation:

4x+17-17 = 23-17

4x = 6

4x/4 6/4

4x/4 = 6/4

x = 6/4  (Simplify)

x = 3/2

Answer:

x=1.5

Step-by-step explanation:

4x+17=23

-17       -17

4x=6

/4    /4

x=1.5

you don't need to draw anything; the diagram is just helping you visualize the problem better

hope that helps

Answer:

31/6

Step-by-step explanation:

36/4=9

6x-22= 9

6x= 9+22

substitute 6x=31= 31/6

Answer:

x = 31/6

Step-by-step explanation:

first lets isolate the equation which equals, 6x-24+2 = 9

I got 9 from 36/4, divide top and bottom by 4 = 9

Next add the numbers, 6x -24+24= 9 turns into 6x-22= 9

Now move the -22 to the side the 9 is, 6x= 9+22

and now we can solve and substitute, 6x=31, which gives us 31/6

I hoped this helped, please mark brainiest!! <33

Answer:

5.1,5.1072,5.207,5.27

Answer:

Step-by-step explanation:

1. A ticket at the NBA championship game costs $200 each. You will be given a discount of 8% if you buy early.

Your parents gave your $570

a) How much will you pay if you buy early.

$200 * 0.08 = $16 (how much you get off)

$200 - $16 = $184

This means that you will pay $184 for each ticket if you buy early.

b) Opps the tax is 4.5%.

4.5/100 = 0.045

$184 * 0.045 = $8.28 (how much you will be paying for tax)

c) How much will you pay including tax?

$184 + $8.28 = $192.28

d) How much will you pay for your two brothers?

You + your two brothers = 3 people

$192.28 * 2 = $384.56

Total for all 3 people: $192.28 + $384.56 = $576.84

e) Do you still have money for popcorn if your parents will give you $570.00?

The total cost of the tickets for you and your brothers is $576.84.

$576.84 is greater than $570.

So, no. You won't have money for popcorn.

Hope this helps!

Answer:

2 2/3

Step-by-step explanation:

hon use a fraction calculator that provides a step by step.

Answer:

  (b)  2 32/48

Step-by-step explanation:

You want the value of the expression 8 4/8 -5 5/6.

The difference of the mixed numbers can be found as the sum of the differences of the integer parts and fractional parts.

  (8 4/8) -(5 5/6) = (8 -5) +(4/8 -5/6)

  = 3 + ((24 -40)/48) = 3 - 16/48

  = 2 +(48/48 -16/48) . . . . . . . rewrite 3 to give a positive fraction part

  = 2 32/48 . . . . matches the 2nd choice

<95141404393>

Answer:

area : 0.0001539 square kilometers (km²) 153.9 square meters (m²)

Step-by-step explanation:

A circle of radius = 7 or diameter = 14 or circumference = 43.98 meters has an  area of: 0.0001539 square kilometers (km²) 153.9 square meters (m²)

hope that helps

Answer:

The equivalent fractions will be 2:5 ard 12:30.

Step-by-step explanation:

Equivalent fractions simply mean the fractions that are the same or equal.

Based on the information given, the ratios that are equivalent to 4:10 will be:

4/10 = 2/5

12/30 = 2/5

20/8 = 5/2

8/30 = 4/15

Therefore, the equivalent ratios will be 2:5 and 12:30.

Learn more about fractions on:

brainly.com/question/2972832

Answer:

2 : 5 and 12 : 30

Step-by-step explanation:

you can find if two ratios are equivalent by multiplying or dividing both quantities by the same number.

Hence:

4 : 10 x 3 on both sides = 12 : 30

Also

4 : 10 divided by 2 on both sides = 2 : 5

Making these equivalent

The others don’t qualify since for:

8 : 30

You would have to multiply the 4 in 4 : 10 by 2, and the 10 by 3, so basically it can’t work.

For 20 : 8

You would have to multiply the 4 in 4 : 10 by 5 and yet divide the 10 by 1.25 which definitely doesn’t work because a, the number used to multiply/divide is the same, and b, because both sides have to be multiplied or divided, not just one each.

hope this helps :D