Order the angle measures , , and from least to greatest.
(Note that the figure is not drawn to scale.)

Order The Angle Measures , , And From Least To Greatest.(Note That The Figure Is Not Drawn To Scale.)

Answers

Answer 1

Mark the theorem below

The angle which measures biggest the opposite side of that angle is biggest.

Here

8<10<12JH<IH<JI

Now

<I < <J < <H
Answer 2

Answer:

least to greatest: ∠I < ∠J < ∠H

Explanation:

angle I:

cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]

I = [tex]cos^{-1} (\frac{3}{4} )[/tex]

I = 41.41°

angle H:

cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]

H = [tex]cos^{-1} (\frac{1}{8} )[/tex]

H = 82.82°

angle J:

cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]

J = [tex]cos^{-1}(\frac{9}{16} )[/tex]

J = 55.77°

They sum up to 180°, so the steps are correct.


Related Questions

If point A, shown on the coordinate plane below, is reflected over both axes to create A’, what will be the coordinates of A’?


(-6, 3)
(-6, -3)
(6, -3)
(6, 3)

Answers

Answer:

  (c)  (6, -3)

Step-by-step explanation:

Reflection over both axes is the same as reflection across the origin, or rotation 180° about the origin. It has the effect of negating both coordinates:

  (x, y) ⇒ (-x, -y) . . . . . reflection over both axes

The coordinates of A are (-6, 3), so the coordinates of A' will be ...

  A(-6, 3) ⇒ A'(6, -3)

someone please help me

Answers

Answer:

  a.  2/5; reduction

Step-by-step explanation:

It appears that C is the center of dilation, so C' and C are coincident. The scale factor is ...

  P'C'/PC = 4/10 = 2/5 . . . scale factor

The scale factor is less than 1, so the dilation is a reduction in size.

what is [tex]\frac{1}{2} \sqrt{4}[/tex]

Answers

Answer:

square root of 4 is 2, 1/2 of 2 is 1

Step-by-step explanation:

What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
6 yd

Answers

Answer:

Volume = 904.78 yards

Step-by-step explanation:

The formula for a sphere is:

V=4/3πr³

Since we already know that the radius is 3 yards and that π is 3.14 all we have to do is plug in the numbers.

V=4/3(3.14)(6)³

V=4/3(3.14)(216)

V=4.1897(216)

V≈904.78 yards

A computer technician charges $37.50 per hour plus a $70 service charge find the total charges if it takes to computer technician 5.5 hours to complete a task

Answers

Answer:

276.25

Step-by-step explanation:

37.50 x 5.5 = 206.25

206.25+ 70 = 276.25

The terminal side of a 130° angle in standard position lies in the
quadrant.

Answers

Answer:

Second quadrant

Step-by-step explanation:

Quadrant I ranges from [tex]0^\circ<\theta<90^\circ[/tex]

Quadrant II ranges from [tex]90^\circ<\theta<180^\circ[/tex]

Quadrant III ranges from [tex]180^\circ<\theta<270^\circ[/tex]

Quadrant IV ranges from [tex]270^\circ<\theta<360^\circ[/tex]

What is the length of this downhill track?​

Answers

Answer: 10

Step-by-step explanation:

The trapezoids below are similar. Find z.

Answers

92+88=180°

ratio remains same.

[tex]\\ \tt\longrightarrow \dfrac{2}{14}=\dfrac{7}{2z}[/tex]

[tex]\\ \tt\longrightarrow 4z=14(7)[/tex]

[tex]\\ \tt\longrightarrow 4z=98[/tex]

[tex]\\ \tt\longrightarrow z=98/4[/tex]

[tex]\\ \tt\longrightarrow z=24.5[/tex]

Find the factored form of the expression.
3x^2 + 300 = 0

Answers

Answer:

x = 10i - 10i

Step-by-step explanation:

3x^2 + 300 = 0

3(x^2 + 300) = 0

x^2 + 100 = 0

x^2 = -100

x = -100 (sqr root)

x = 10i - 10i

Hope this is more of the answer you where looking for.

Answer:

10

Step-by-step explanation:

it just is

from the definition of absolute value, |3x|= when x>=0

Answers

Answer:  3x

Explanation:

When x is zero or larger, then |x| = x.

An example: |9| = 9

This applies to |3x| as well, so |3x| = 3x when [tex]x \ge 0[/tex]

Please help: Find an equation of a line that is tangent to the graph of f and parallel to the given line.

Answers

The equation of a line that is tangent to the graph of f and parallel to the given line is; y = 3x + 2 and y = 3x - 2

How to find the equation of a line in slope intercept form

The given equation of the line is 3x - y + 3 = 0

In slope intercept form, this can be rewritten as;

y = 3x + 3

Therefore, the slope of this line will be 3 since in y = mx + c, m is the slope. Thus, the slope of the parallel line will be  3

We will be looking for the value of x when the derivative of f(x) equals 3.

f(x) = x³ and so f'(x) = 3x²

Thus;

3x² = 3

x² = 3/3

x² = 1

x = 1 or -1

Thus;

y = 1³ or y =-1³

y = 1 or -1

Equation of tangent is;

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

or y - (-1) = 3(x - (-1))

y + 1 = 3x + 3

y = 3x + 2

Read more about slope intercept form at; https://brainly.com/question/1884491

Solve these equations
1. 3x^2-16x-10=-15x
2. (3x - 7)(2x + 5) = 0
3. 2x + 5 - 3x = 4x + 17 + x
4. x^2 - 49 = 0
5. x^2 + 8x + 12 = 0
6. 0= (2x^2 - 3x + 5) - (x^2 + x + 37)
7. 12x^2 + 4x - 1
8. x^2 - 7x + 12
9. 6x^2 - 3x - 3

Answers

Answer: 1. x=2,-5/3

Step-by-step explanation:

Can someone help with this please

Answers

Step-by-step explanation:

[tex]y = \frac{4}{x} + \sqrt{x + 0.2} - 5x[/tex]

[tex]x = \frac{4}{5} [/tex]

[tex]y = \frac{4}{1} \div \frac{4}{5} + \sqrt{ \frac{4}{5} + 0.2} - 5 \times \frac{4}{5} [/tex]

[tex] \frac{4}{1} \times \frac{5}{4} + \sqrt{0.8 + 0.2} - 4[/tex]

[tex]5 + \sqrt{1} - 4[/tex]

[tex]5 + 1 - 4 \\ 6 - 4 = 2[/tex]

What is the answer
7a-9b+6a-4b

Im having problems with this and need an answer with explanation if is positive maybe that way can be more easy to understand

Answers

13a-13b
This is because you have to add/subtract your like variables. So 7a + 6a=13a. Then you have -9b-4b=negative 13b. So 13a-13b

Of students in the AP curriculum at a prep school, 40% take one AP exam, 45% take two AP exams, and the remaining 15% take 3 AP exams. The highly desirable score of 5 is hard to earn, and only 20% of these students will earn a 5 on any given exam they take. Assuming their results on each exam are independent, what is the probability a student in the AP curriculum will earn at least one 5

Answers

It should be noted that the probability that a student will earn at least one 5 will be 0.3152.

How to calculate the probability

Test P(x). P(at least one 5)

1. 0.4. 0.2

2. 0.45. 0.36

3. 0.15. 0.488

Therefore, the probability that a student in the AP curriculum will earn at least one 5 will be:

= (0.4 × 0.2) + (0.45 × 0.36) + (0.15 × 0.488)

= 0.3152

In conclusion, the correct option is 0.3152.

Learn more about probability on:

https://brainly.com/question/24756209

Mathieu grows specialty tomatoes that are much larger than typical tomatoes. The distribution of their weights is strongly skewed to the left with a mean of 232g and a standard deviation of 12g. Suppose we were to calculate the mean weight from a random sample of 16 of Mathieu's tomatoes. We can assume independence between tomatoes in the sample.
What is the probability that the mean weight from the sample of 16 tomatoes x is within 6g of the population mean?

Answers

Answer:

We cannot calculate this probability because the sampling distribution is not normal.

Step-by-step explanation:

Since the parent population is not normally distributed, the small sample size will result in a sampling distribution that isn't normal.

you have 5 apples, multiply it by x, and get 1345. What is x?

Answers

Answer:

x = 269

explanation:

5 apples multiplied by x and equals to 1345

solve:

5 * x = 1345

x = 1345/5

x = 269

Therefore x is 269.

note: changing sides changes multiplication(*) to division(/) and division(/) to multiplication(*).

Answer:

x = 269

Step-by-step explanation:

For this question, they are asking you to create a problem out of the information given. For this problem, we will require the use of division. Before we can solve, we need to create the problem first.

Because the problem says 5 multiplied by x, we have to multiply these two. (Important:) Anytime you are multiplying a coefficient (5 in this case) by a variable (x in this case) we have to put the coefficient in front of the variable, like this:

5x _ ___.

Now that we know that, the question states that this basically equals 1345. With that said, that just gave us the rest of the problem. Now let's put it together:

5x = 1345.

Now we can solve. To single out the variable (x) to find our answer, divide 5 into 1345:

5x = 1345

5        5

So, 1345 ÷ 5 = 269. After that, we are left with x and 269 (because the 5 was canceled out with the division). So, the answer is:

x = 269.

I hope that this helps.

Instructions: Use the graph to identify the vertex and then fill in the vertex form of the
quadratic function.

Answers

taking a peek at the picture, we can see that the U-turn or vertex occurs at the point (2 , -9), and we can also see that the graph passes through the point say (5 , 0).

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{vertex}{(2~~,~-9)}\qquad y=a(x-2)^2-9\qquad \qquad \textit{we know that} \begin{cases} x=5\\ y=0 \end{cases} \\\\\\ 0=a(5-2)^2-9\implies 9=9a\implies \cfrac{9}{9}=a\implies 1=a~\hfill \\\\\\ y=1(x-2)^2-9\implies \boxed{y=(x-2)^2-9}[/tex]

james has 202 cookie his friend wanted 132 cookies how much is the amount?

Answers

334

202 cookies plus 132 = 334

What is the value of the expression: 4(n+13) where n=5

45

235

72

41

Answers

The correct answer is 72

Answer:

72

Step-by-step explanation:

=> 4(n+13)

putting the value of n which is 5

=> 4(5+13 )

=> 4(18)

=> 72

Garfield had $10 in the bank yesterday. Then, Garfield bought dinner for $14, but didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt! What is the absolute value of his new account balance?

Answers

I believe it’s 4 since he’s in dept with 4 dollars so that’ll be -4, but the absolute value is 4 since it’s 4 spaces away from 0.

A basket of the fruit contains 12 apples, 8 bananas, and 6 oranges. What is the ratio of bananas to apples? (Please simplify)

Answers

Answer:

2 : 3

Step-by-step explanation:

bananas to apples = 8 : 12

simplify by dividing both values by highest common factor of 4:

8 ÷ 4 : 12 ÷ 4 = 2 : 3

A bike with an original price of 90$ is discounted 40%. What is he sale price

Answers

Answer:

$54

Step-by-step explanation:

Original Price = $90

Discounted = 40%

Percent to decimal 40% = .40

$90 x .40=36 ( 36 is the Discount)

$90 - 36=54

Sale Price = $54

Hence, Sale Price = $54

[RevyBreeze]


In one U.S. city, the taxi cost is $5 plus $0.90 per mile. If you are traveling from the airport, there is an additional charge of $3.50 for tolls. How far can you travel from
the airport by taxi for $40.00?

Answers

Answer:

35 miles

Step-by-step explanation:

At the start, you lose $8.5 for tolls and the taxi cost.
You're left with $31.5 after that, every mile costs you $0.9, so you can go 31.5 : 0.9 = 35 miles.

If f(x) = x + 1 and g(x) = x^3, the function (fοg)(x) is:

Answers

Answer:

x³ + 1

Step-by-step explanation:

to evaluate (f ○ g)(x) , substitute x = g(x) into f(x)

f(g(x) )

= f(x³)

= x³ + 1

5.524(2 significant figures)​

Answers

Answer:

5.524 in 2 significant figures rounding the value to 2 non zero numbers.

5.524 = 5.5 (2 significant figures)


A small college had 7,500 students enrolled in 2010, and the number of students enrolled has increased by 3% each year since. If f(n) represents the number of students enrolled n years after
2010, then which function best represents its value?

Answers

Answer:

7800

I already take a homework with this question

Brainliest if correct

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

3(-2)(-1)(-1)= -6

[RevyBreeze]

Awnser down below!

⬇ ⬇ ⬇

Answers

Answer:

1. 103        

2. 156

3. 114
4. 115.14

5. 140

6. 123.8

7. 120.28

8. 107

Step-by-step explanation:

Answer:

hope it helps you :)) !

I’ll give you all the points I can give if you help me no links pls pls

Answers

Answer:

We cant see the writing it is too small

Step-by-step explanation:

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