3. In the figure, m/_ 2 = 92, and m/_12 = 74. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.

/_13

a. 106, vertical angles
b. 74, alternate interior angles
c. 106, supplementary angles
d. 74, consecutive interior angles​

Answer:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

Step-by-step explanation:

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Answer:

four billion, six hundred million

Step-by-step explanation:

Answer:

1600 ml, 400 ml, 1200 ml

Step-by-step explanation:

Given ratios are: 4:1:3

Let the shares of the given ratios be 4x, x, 3x

[tex] \therefore \: 4x + x + 3x = 3200 \\ \\ \therefore \: 8x = 3200 \\ \\ \therefore \: x= \frac{ 3200}{8} \\ \\ \therefore \: x=400 \\ \\ \implies \\ 4x = 4 \times 400 = 1600 \\ \\ 3x = 3 \times 400 = 1200 \\ \\ [/tex]

Answer:

vector v(4;-3)

Step-by-step explanation:

Answer:

QR is the longest segment.

Step-by-step explanation:

The longest side of a triangle is opposite to greatest angle.

m∠QSR = 75° ⇒ QR is the longest segment.

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

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Answer:

X= 17.5

Step-by-step explanation:

the outside of the triangle always = 180

so you need to add up all the sides and equal to 180

5x+35+x+5+2x=180

add like terms

8x+40=180

get the x alone

x=17.5

Step-by-step explanation:

So Scientific Notation is like this.

Ya got a big number that has of 0s . Let's just throw out 69,000,000,000,000

You take the other numbers that arent 0s. Take the first number and put a "." in between it and the second number. So, in this case, you have 6.9, like this.

You then count the number of 0s and +1. So in this case, you'll have 12+1. Which is 13.

You then take the 6.9 and note it with a *10. You then take the 13 and put it on the 10 as an exponent. So in the end youll have 6.9*10^13.

Hopefully, this helps.

With love,

A G 4 2

Answer:

Supplement: 132

Complement: 42

Step-by-step explanation:

I don't really have an explanation, the answer just came to me...Sorry. But hope this helps!

Answer:132

Step-by-step explanation:180-48

Answer:

1- true

2-true

Step-by-step explanation:

hope this helps have a good day

Answer:

1True

2True

hope this helps!

Answer:

59 cuz it's an isosceles triangle (two sides and two angle are equal)

Answer:

C.) (5,0)

Step-by-step explanation:

You see where the lines cross together. That will be the answer.

Answer:

$129.80

Step-by-step explanation:

Discount:   .20 * 649 = 129.80

Answer:

9.091(1.1^n)

Step-by-step explanation:

Given the height of a tree for the past 4 years given by the sequence;

10ft, 11ft, 12.1ft, 13.31ft...

We can see that the sequence is in geometric progression since they have a common ratio;

The nth term of a geometric progression is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

Given

a = 10

r = 11/10 = 21.1/11 = 13.31/12.1 = 1.1

Substitute into the formula;

Tn = 10(1.1)^{n-1}

Tn = 10(1.1^n)/1.1

Tn = 9.091(1.1^n)

Hence the recursive formula for the height of the tree is expressed as  9.091(1.1^n) where n is the total number of tree.

Answer: 1,3

Step-by-step explanation:

Answer:

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

Answer:

240

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

What I do is I first multiply the two numbers...

(60 * 80 = 240)

From there I try and find if there is any number lower than the product of these two numbers... if there isn't... then the product is the LCM

Since the only factor between 80 and 240 is 160... that is the only other possible answer... since 160 is not a multiple of 60... the answer can only be 240.

I hope this helps and wasn't too confusing:)

Answer and Step-by-step explanation:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Answer:

cant

Step-by-step explanation:

Answer:

The factor is 4.

Step-by-step explanation:

You can divide both 24 and 20 by 4, leaving you with 6x-5.

Highest common factor should be 4.

Given that,

Based on the above information, the calculation is as follows:

Here 24 and 20 should be divisible by 4

So,

= 4(6x - 5)

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Answer:

$57.22

Step-by-step explanation:

Total before Tax: $46.40

Tax rate: 3.36

After 7 1/4 Tax:  49.76

Tip: $7.46

Total: $57.22

Hope this helped! Have a great day!

Answer: (-4, -1)

Step-by-step explanation:

Answer:

P=Q=R

Step-by-step explanation:

Mark me as brainliest

Answer:

a

Step-by-step explanation:

just did it and got right

The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

Let,

= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]


Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

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Answer:

transformation across the x axis

Answer:

Reflection over the X-axis

Step-by-step explanation:

That's the only thing I can think of. Can you list the choices, though? It could be a reflection followed by a translation...