A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.

Answer:

a)

[tex]a=23-z[/tex]

b)

First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.

Step-by-step explanation:

a) Solving the equation

Given the expression

[tex]2\left(z+a\right)=46[/tex]

Divide both sides by 2

[tex]\frac{2\left(z+a\right)}{2}=\frac{46}{2}[/tex]

simplify

[tex]z+a=23[/tex]

subtract z from both sides

[tex]z+a-z=23-z[/tex]

[tex]a=23-z[/tex]

Thus, the value of a:

[tex]a=23-z[/tex]

b) Work Process

First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.

Answer:

x=2.2

Step-by-step explanation:

6X - 2 + 5x + 7

add like terms

11x+5

divide 5 on both sides

x=2.2

Hope this helps dont 4get to like and star

-mercury

Answer:

11x+5

Step-by-step explanation:

6X - 2 + 5x + 7

Group like terms=6x+5x-2+7

Add similar elements=11x-2+7

Add Subtract the numbers=11x+5

it means

wdwedwefqwerf

Answer:

C

Step-by-step explanation:

12^2 = 144, 9^2 = 81, and 15^2 = 225.

144 + 81 = 225, therefore a^2 + b^2 = c^2.

Answer:

8

Step-by-step explanation:

you have to add 25 on both sides then you get 5x<40 then you divide 40 by 5 and you get 8

hope this helps dont 4get to like and star

-mercury

Answer:

x=2.51

Step-by-step explanation:

-2.49=-5+x

-5+x=-2.49

-5+x+5=-2.49+5

x=2.51

Answer:

Length is 32. 6 cm and width is 5.9 cm

Step-by-step explanation:

width(w)=w

perimeter(p)=78 cm

length(L) = 4w+9

p=2L+2w

78=2(4w+9)+2w

78=8w + 19 + 2w

10w=59

w=5.9 cm

L=4w+9

L=4(5.9)+9

L=32.6 cm

Therefore length is 32.6 cm and width is 5.9 cm

Answer:

(3)     [tex]  \dfrac{P_1V_1}{V_2} [/tex]

Step-by-step explanation:

[tex] P_1V_1 = P_2V_2 [/tex]

Divide both sides by V2.

[tex] \dfrac{P_1V_1}{V_2} = P_2 [/tex]

[tex]P_2 =\dfrac{P_1V_1}{V_2}[/tex]

9514 1404 393

Answer:

  y = 5x +20

Step-by-step explanation:

We assume you want the total cost (y) of x months of membership at the dance club.

This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).

  y = 5x +20

Comparing this to the slope-intercept form of the equation of a line, we see ...

  y = mx + b

  m = 5

  b = 20

Answer:

x=8

Step-by-step explanation:

1. Subtract the 3 from both side so the new equation states 4x=32

2. Divide both sides by 4 for the final answer of x=8

Answer:

Step-by-step explanation:

Answer:

= 4.4591 × 1010

(scientific notation)

= 4.4591^10

= 44.591 × 109

Its actually pretty hard, so I don't really want to show my explanations with words, but there is a number explanation. Sorry if this is wrong. It is pretty hard, since you asked lots of times, I tried to give it a go.

6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.

6 X 10^-5 is how many times the value of 3 X 10^-8 is to be determined.

Fraction is defined as the number of compositions that constitute the whole.

Let 6 X 10^-5 is x  times the value of 3 X 10^-8.

[tex]6 * 10^{-5}= x 3 * 10^{-8}\\\\x = \frac{6 * 10^{-5}}{3 * 10^{-8}} \\\\x = 2 *10^3[/tex]

Thus, 6 X 10^-5 is 2*10^3  times the value of 3 X 10^-8.

Learn more about fractions here:
https://brainly.com/question/10708469

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Answer:

$129

Step-by-step explanation:

First, we'll figure out how much Racquel earns per week by multiplying how much she gets per hour by the number of hours she works per week. We can solve 4x10.75 to find out how much money Racquel earns per week. We can solve that to find out that she earns $43 per week. Then, we can multiply that by 3 to find out how much she earns in 3 weeks. Once we solve 43x3 we will end up with an answer of $129 over the course of 3 weeks.

(hope this helped)

Answer:

1. The percentage change is 74% and it is a percentage decrease

2. The percentage change is 15% and it is a percentage decrease

3. The percentage change is 20% and it is a percentage decrease

4. The percentage change is 43% and it is a percentage increase

5. The percentage change is 40% and it is a percentage decrease

6. The percentage change is 39% and it is a percentage decrease

Step-by-step explanation:

Given

[tex]1.\ Original = 5; New = 1.3[/tex]

[tex]2.\ Original = 160; New = 136[/tex]

[tex]3.\ Original = 15; New = 12[/tex]

[tex]4.\ Original = 7; New = 10[/tex]

[tex]5.\ Original = $30; New = $18[/tex]

[tex]6.\ Original = 9.6; New = 5.9[/tex]

Required

Determine the percentage change and state whether it's an increase or decrease

Percentage change is calculated as:

[tex]\%Change = \frac{New - Original}{Original} * 100\%[/tex]

[tex]1.\ Original = 5; New = 1.3[/tex]

[tex]\%Change = \frac{1.3 - 5}{1.3} * 100\%[/tex]

[tex]\%Change = \frac{-3.7}5} * 100\%[/tex]

[tex]\%Change = \frac{-3.7 * 100\%}{5}[/tex]

[tex]\%Change = \frac{-370\%}{5}[/tex]

[tex]\%Change = -74\%[/tex]

The percentage change is 74% and it is a percentage decrease

[tex]2.\ Original = 160; New = 136[/tex]

[tex]\%Change = \frac{136 - 160}{160} * 100\%[/tex]

[tex]\%Change = \frac{-24}{160} * 100\%[/tex]

[tex]\%Change = \frac{-24 * 100\%}{160}[/tex]

[tex]\%Change = \frac{-2400\%}{160}[/tex]

[tex]\%Change = -15\%[/tex]

The percentage change is 15% and it is a percentage decrease

[tex]3.\ Original = 15; New = 12[/tex]

[tex]\%Change = \frac{12- 15}{15} * 100\%[/tex]

[tex]\%Change = \frac{-3}{15} * 100\%[/tex]

[tex]\%Change = \frac{-3* 100\%}{15}[/tex]

[tex]\%Change = \frac{-300\%}{15}[/tex]

[tex]\%Change = -20\%[/tex]

The percentage change is 20% and it is a percentage decrease

[tex]4.\ Original = 7; New = 10[/tex]

[tex]\%Change = \frac{10- 7}{7} * 100\%[/tex]

[tex]\%Change = \frac{3}{7} * 100\%[/tex]

[tex]\%Change = \frac{3* 100\%}{7}[/tex]

[tex]\%Change = \frac{300\%}{7}[/tex]

[tex]\%Change = 43\%[/tex] -- (approximated)

The percentage change is 43% and it is a percentage increase

[tex]5.\ Original = $30; New = $18[/tex]

[tex]\%Change = \frac{18- 30}{30} * 100\%[/tex]

[tex]\%Change = \frac{-12}{30} * 100\%[/tex]

[tex]\%Change = \frac{-12* 100\%}{30}[/tex]

[tex]\%Change = \frac{-1200\%}{30}[/tex]

[tex]\%Change = -40\%}[/tex]

The percentage change is 40% and it is a percentage decrease

[tex]6.\ Original = 9.6; New = 5.9[/tex]

[tex]\%Change = \frac{5.9- 9.6}{9.6} * 100\%[/tex]

[tex]\%Change = \frac{-3.7}{9.6} * 100\%[/tex]

[tex]\%Change = \frac{-3.7* 100\%}{9.6}[/tex]

[tex]\%Change = \frac{-370\%}{9.6}[/tex]

[tex]\%Change = -39\%[/tex] -- (approximated)

The percentage change is 39% and it is a percentage decrease

Answer:

The answer is 6.75 calories or [tex]6 \frac{3}{4}[/tex]

Step-by-step explanation:

First, we need to find out how many calories per 1/3 minute.

4 1/2 divided by 2 = 2 1/4 or 2.25

2 1/4 or 2.25 x 3 = [tex]6 \frac{3}{4}[/tex] or 6.75 calories

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Answer:

I'm so sorry I don't know this answer but good luck

Answer: since it doesn't tell you how you get it.

Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are

21, 35, 35.

So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...

The median is 35.

AnswerStep-by-step explanation:

[tex] \frac{5}{12} = \frac{170}{} [/tex]

[tex] \frac{5}{12} = \frac{5 \times 34}{12 times 34} [/tex]

Simplify

[tex] \frac{5 \times 34}{12 times 34} = \frac{5}{12} [/tex]

Therefore, the ratio from the relation of the information is proportional.

Answer:

Answer:  The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation:  Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

Case I :  ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

Case II :  ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

Step-by-step explanation:

Answer:

Answer is 9

Step-by-step explanation:

Remember PEMDAS???

"parenthesis, exponents, multiplication, division, addition, subtraction"

you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.

Answer:

9

Step-by-step explanation:

First, we have to solve inside the parentheses because of PEMDAS or GEMDAS, whichever you know. When we add 1+2 we get 3 inside the parentheses and it looks like this: 6/2(3).

Then, we have to divide 6 by 2 before we do anything else. When we divide 6/2, we get 3 and it will look like this: 3(3).

Finally, we have to multiply 3 by 3 because when something is in parentheses, you have to multiply it by the number right before it (next to it). Once we multiply 3*3, we will get our answer of 9.

(sorry if this is confusing but I hope it helped anyway)

Answer:

Should I answer all the questions or just the second one

Answer:

B. Quintic

Step-by-step explanation:

The degree of the polynomial is the highest exponent in the polynomial. In this case it's 5, which means that its a quintic function

Answer:

R=(F/3-4)/2

Step-by-step explanation:

Father = F

Joe = J

Alexa = A

R= Rocky

F=3J

A+4=J

A=2R

F/3=J

A=J-4

A=F/3-4

2R=F/3-4

R=(F/3-4)/2

Hope this helps!

Answer:

the original price would be $800

Step-by-step explanation:

800-75% = 200

just use a calculator

Answer:

-3 {3}

Step-by-step explanation:

:D

Answer:

3

Step-by-step explanation:

Given that:

Larger square is a dilation of smaller square

Dimension of smaller square (5 - 3) units by (5 - 3) units = 2 by 2

Dimension of larger square (7 - 1) units by (7 - 1) units = 6 by 6

Hence, the scale factor used to create the larger square from the smaller square will be:

Scale factor (x) * side of smaller square = side of larger square

x * 2 = 6

2x = 6

x = 6/2

x = 3

Hence, scale factor used to generate larger square is 3

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

got it from person above me have nice day

Answer:

-4 < x < -8

Step-by-step explanation:

Given solve -x > 8 or -x < 4.

Solve each inequality first

-x > 8

Divide both sides by -1

-x/-1 > 8/-1

x < -8

Also if -x < 4

Divide both sides by -1

-x/-1 < 4/-1

x > -4

Combine both inequality x < -8 and x > -4

-4 < x < -8

Hence the solution set is -4 < x < -8

Given :

A submarine started at the surface of the water and was moving at -15 meters per minute.

The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor.

To Find :

The change in the submarine position.

Solution :

We need to find the position of submarine position from the surface of water.

Distance travelled =  Speed × Time

Distance travelled = -15 m/min × 48 min

Distance travelled = 720 m

Therefore, the position of submarine is 720 m below the surface of ocean.

Answer:

Step-by-step explanation:

[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]