HW 2: Angles of TrianglesFind the missing angle:
1
Measure of Angle 1 =
67
62
HW 2: Angles of Triangles Find the missing angle: 1 - 1

Answers

Answer 1
Answer: Hi there, to answer this problem we will first need to identify the third missing angle inside the triangle. Triangles add to 180 degrees, therefore we can add the two provided sides: 62+67= 129. To find the third angle, we can subtract 129 from 180 and end with 51. This is the measurement of the third angle inside the triangle. Now we can take this number and subtract it from 180, because the value you are looking for is located on a straight 180 degree line which forms one side of the triangle. The answer to your questions is: the measure of angle 1 is 51 degrees. Hope this helps!!

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Hello, I've uploaded the photo with the answer to your question here: https://t.ly/iTbeU

A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.A) |x − 32| ≥ 8; The medication costs range from $24 to $40
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
C) |x − 32| ≤ 8; The medication costs range from $24 to $40
D) |x − 32| ≤8; The medications cost less than $24 or greater than $40.

Answers

Answer:

Therefore, Option C is correct that is |x-32|\leq8|{\text{the medication costs range from $24to $40}.

Step-by-step explanation:

We have given medication cost $32

Since, we have given as much as 8 so the inequality will maximum goes upto 8.

|x-32|\leq8

Now, we will solve the inequality for x we will get

We will first open the modulus function by its definition we will get

which is |x| is +x  and -x

(x-32)\leq8

x=32+8=40

x=40

And -(x-32)\leq8

-x+32=8

x=24

Therefore, Option C is correct

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24.  Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8
|-2| ≤ 8
2 ≤ 8

Option C is correct.

An arithmetic sequence is given below.-4, -10, -16, -22, ...
write an explicit formula for the Nth term aN.

Answers

Answer:

an​=−6n+2

Step-by-step explanation:

First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.

Next, you need to use the standard explicit formula for an arithmetic sequence, which is:

an​=a1​+d(n−1)

where an​ is the Nth term, a1​ is the first term, d is the common difference, and n is any term number.

Finally, you need to substitute the values of a1​ and d that you found in the first step into the formula. This gives:

an​=−4+(−6)(n−1)

This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:

an​=−4−6n+6

an​=−6n+2

in a survey of teens, 21% said their friends like to read and talk about books. About how many teens out of 1,095 would say their friends read and talk about books?

Answers

Answer:

About 230 teens would say that their friends read and talk about books.

Step-by-step explanation:

From the survey, 21% of teens like to read and talk about books.

                21% = (21)/(100)

Thus, from 1095 teens, 21% of them would say their friends read and talk about books.

       21% of 1095 = (21)/(100) × 1095

                           = (22995)/(100)

                           = 229.95

     Therefore, about 230 teens from 1095 would say that their friends read and talk about books.

21÷100=0.21 0.21×1095=230 friends estimeted from 229.95

Find the exact volume of the sphere use alt +227 or pi for pi as needed

Answers

Answer: The volume of the sphere is 113.04 in^3

Step-by-step explanation:

For a sphere of radius R, the volume is written as:

V = (4/3)*pi*R^3

where pi = 3.14159265...

We can use pi = 3.14

Here we can see that the radius of the sphere is 3 inches, then the volume of the sphere is:

V = (4/3)*3.14*(3 in)^3 = 113.04 in^3

I want you to show me how you did it so I can show my work

Answers

Answer:

lol what are we even supposed to answer?

Step-by-step explanation: