Help help help help math

Explanation:

Here's one way:

At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.

Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.

The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.

The sum of the measures of the exterior angles is 360°.

_____

Additional comment

This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.

Answer:

[tex]0\leq x<\infty[/tex]

Step-by-step explanation:

The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].

I've attached a diagram to help you visualize the domain.

Hi!

To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:

Now, when we plug it in the equation, it looks like this:

[tex]\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5[/tex]

Therefore, your answer is 346.5 or, rounded, 347.

Meaning, your answer is C

Hope this helps and have a great day! :D

[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]

Answer:

$261.82 per 180 gallon of oil tank.

Step-by-step explanation:

set a proportion;

400 x

------ = -----

275 180

180/275 = 0.6545454545454 x 400

= 261.81818181816

round the the nearest hundredth

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]

[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]

[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]

[tex]\\ \sf\longmapsto f(-2)=-6[/tex]

.#2

[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]

[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]

[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]

.Now

[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]

[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2h[/tex]

Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.

Step-by-step explanation:

First, let's solve for how many questions Sarah got correct.

80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:

[tex]\frac{8}{10}=\frac{?}{75}[/tex]

Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60

So, Sarah got 60 out of 75 questions correct.

To find how many she missed, we can simply subtract 60 from 75 to get 15.

So, Sarah got 15 out of 75 questions wrong.

Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.

15 ÷ 75 = 0.2

0.2 X 100 = 20

So, Sarah got 20% of the questions wrong.

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

2 (5 - 8x) - 13 = 9 (1 - x) - 12

10 - 16x - 13 = 9 - 9x - 12

10 - 13 - 16x = 9 - 12 - 9x

- 3 - 16x = - 3 - 9x

- 3 + 3 = - 9x + 16x

0 = 7x

0/7 = x

0 = x

_____

Hope it helps ⚜

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 0'

!! Hoped this helped !!

[tex]BrainiacUser1357[/tex]

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

Learn more about probability here:

https://brainly.com/question/14099682

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Answer:

  60

Step-by-step explanation:

We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...

  red : blue : yellow = 14 : 15 : 6

Multiplying this by 4 will give 24 yellow chairs:

  4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.

60 chairs are blue.

If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then

a₁ = a₀ + 1 = 0 + 1   ⇒   a₁ = 1

and

a₂ = a₁ + 1 = 1 + 1   ⇒   a₂ = 2

i hope it helped you :P

it was easyy!!!

Answer:

8/15

Step-by-step explanation:

hope this helps!!! :D

Answer: 8/15

Step-by-step explanation: Tangent is opposite/adjacent

The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.

For the future, remember these:

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent

Therefore, tan is 8/15.

Hope this helps.

Answer:

4.8 feet

Step-by-step explanation:

a² + b² = c²

a² + 11² = 12²

a² + 121 = 144

a² = 23

a = [tex]\sqrt{23}[/tex]

a, or the height of the kite ≈ 4.8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-1, 0, 1

Step-by-step explanation:

Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2

Answer:

The answer is 1485.875.

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]

To solve the above equation we will follow the BODMAS rule.

It stands for :

Solving this question by bodmas rule :

[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]

Hence, the answer is 1485.875.

[tex]\rule{300}{2.5}[/tex]

Answer:

Answer: 2.5

Step-by-step explanation:

It seems as if everything is divided by two so 5/2 is 2.5

Answer:

The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

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 expressions are;

1. 8 (y - 7)

2. - 2 (x + 7)

3. 3/5x + 2/5 + 3/5x

Now,

Solve all the expression as;

1. 8 (y - 7) = 8 × y - 8 × 7

              = 8y - 56

Thus,  8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2 × x - 2 × 7

                  = - 2x - 14

Thus, - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5

                              = (3x + 3x)/ 5 + 2/5

                              = 6x / 5 + 2/ 5

                              = (6x + 2) / 5

Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Therefore, The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Learn more about the expression visit:

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Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

[tex]d =19\%[/tex]

The price (p) of the item is given as:

[tex]p = \$32[/tex]

So, the amount (A) paid before tax is calculated using:

[tex]A = p \times (1 - d)[/tex]

Substitute known values

[tex]A = \$32 \times (1 - 19\%)[/tex]

Express percentage as decimal

[tex]A = \$32 \times (1 - 0.19)[/tex]

Subtract 0.19 from 1

[tex]A = \$32 \times 0.81[/tex]

Multiply 32 and 0.81

[tex]A = \$25.92[/tex]

Hence, David will pay $25 and 92 cents for an item of $32, before tax

Read more about discounts at:

https://brainly.com/question/11538623

The difference between the two perimeters is 32 yards.

Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.

Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:

= 2(10 + 4)

= 2 × 14

= 28 yards

The difference will be:

= 60 - 28

= 32 yards.

Answer:

-a + 7b

Step-by-step explanation:

This problem is asking you to simplify the equation.

In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).

So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.

So all together we have -a + 7b.

Hope this helps you :)

[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]

[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]

[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]

[tex]\\ \sf\Rrightarrow -a+7b[/tex]

[tex]\\ \sf\Rrightarrow 7b-a[/tex]

Answer:

$5026

Step-by-step explanation:

if you divide 70 by 15 you get 4.66666667

then multiply 4.6666667 by 1077 and you get 5026

Answer: D: (-∞, ∞)

               R: (-∞, ∞)

Step-by-step explanation:

Since the end points are arrows and have no set stopping point we can assume the answer is all real numbers, also known as infinity

Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.

With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.

Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.

Read more about the 17th Amendment here:

https://brainly.com/question/7926023

Answer:

Steps in the picture

Hope it helps

Answer:

Step-by-step explanation:

The fraction of the profit that belongs to Sheldon is ...

  Sheldon / Leonard = 2 / 5

  Sheldon / Total = 2 / (2 + 5) = 2/7

Then Sheldon's portion of the $28 profit is ...

  Sheldon's profit = 2/7 × $28 = $8

Sheldon makes $8 profit on the first item they sell.

Answer:

B

Step-by-step explanation:

So we are at C:

We need to find the dilation:

First we add 4 to x (meaning we move the point C 4 points to the right)

Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)

This will give you your point:

Which is B

Hope this helps!

Answer:

1) $343

2) $40

Step-by-step explanation:

1) Kathy paid (100 - 30)% of 490

so we can multiply 490 by 70%

490 x .7 = 343

2)  let 'x' = original price

if she's saving 10% (or .10) then she's paying 90% (or .90)

.9x = 36

x = 36/.9

x = 40