if m2 = 125, m12= 37 and m18 = 102, find the measure of each angle

If M2 = 125, M12= 37 And M18 = 102, Find The Measure Of Each Angle

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

m<2 = 125°

m<12 = 37°

m<18 = 102°

a. m<1 + m<2 = 180° (linear pair)

m<1 + 125° = 180° (substitution)

m<1 = 180° - 125°

m<1 = 55°

b. m<3 = m<18 (alternate exterior angles)

m<3 = 102° (substitution)

c. m<4 + m<3 = 180° (linear pair)

m<4 + 102° = 180° (substitution)

m<4 = 180° - 102°

m<4 = 78°

d. m<5 = m<2 (vertical angles)

m<5 = 125° (substitution)

e. m<6 = m<1 (vertical angles)

m<6 = 55° (substitution)

f. m<7 = m<12 (alternate angles)

m<7 = 37° (substitution)

g. m<8 + m<12 + m<13 = 180° (sum of triangle)

m<12 = 37° (given)

m<13 = m<18 = 102° (vertical angles)

m<8 + 37° + 102° = 180° (substitution)

m<8 + 139° = 180°

m<8 = 180° - 139°

m<8 = 41°

h. m<9 = m<18 (corresponding angles)

m<19 = 102° (substitution)

i. m<10 = m<6 (alternate interior angles)

m<10 = 55°

j. m<11 + m<6 + m<7 = 180° (sum of triangle)

m<11 + 55° + 37° = 180° (substitution)

m<11 + 92° = 180°

m<11 = 180° - 92°

m<11 = 88°

k. m<13 = m<18 (vertical angles)

m<13 = 102°

l. m<14 = m<4 (corresponding angles)

m<14 = 78°

m. m<15 = m<5 (corresponding angles)

m<15 = 125°

n. m<16 = m<6 (corresponding angles)

m<16 = 55°

o. m<17 = m<14 (vertical angles)

m<17 = 78°


Related Questions

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daddy

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Answers

1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified

Answer:

[tex] \frac{7}{4} is \: not \: a \:w hole \: number \: \\ it \: is \: a \: mixed \: number \: \\ we \: can \: simplify \: it \: in \: to \: 2 \frac{1}{4} \\ thank \: you[/tex]

Solve for x

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Answers

Answer:

1. x = 3/2 = 1.500

2. x = ± √3 = ± 1.7321

Step-by-step explanation:

The vorrrect answer is 1.7

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Answers

(-2, 4)
Hope this helps! If not I, truly sorry
(-2,4) should be the coordinates:)

Tia buys 7 packages of muffins. How many muffins does she buy?

A. 39

B. 40

C. 48

D. 56​

Answers

Answer:

Probably there are 56 muffins in total

Step-by-step explanation:

This is because based on the choices, the only number that 7 is a factor of is 56

That means there were 8 muffins in each package

Hope this helps!

In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of

Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One

member of the population is selected at random for a survey involving cell

phone carriers.


Find the probability that the selected subject is not male.

Answers

Answer: 0.23

Step-by-step explanation:

Given that:

Percentage population of males = 77% = 0.77

Hence,

Percentage that aren't male = ( 1 - 0.77) = 0.23

P(males) = 0.77

Hence,

P(non-males) = 1 - 0.77 = 0.23

What is the expression under the radical sign in the quadratic formula called? *

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degree

discriminant

O conjugate

5 poin

Answers

Answer: C) Discriminant

The formula for the discriminant is

d = b^2 - 4ac

If d < 0, then there are no real number solutions

If d = 0, then you have exactly one real solution

If d > 0, then you have two different real number solutions

the ratio of 10m to 10 km is​

Answers

Answer:

10:10,000 is the answer to ur quation

BOXES Simon will make a box without a top by cutting out corners of equal size from a 22 inch by 15 inch sheet of cardboard and folding up the sides. Which of the following is closest to the greatest possible volume of the box?

a. 330 in3
b. 144 in3
c. 432 in3
d. 1296 in3

Answers

Answer:

Volume of box is [tex]432 in^3[/tex]

Step-by-step explanation:

Let x be the side of square corner

Length of box after cutting corners =22-2x

Breadth of box after cutting corners =15-2x

Height =x

Volume of box = (22-2x)(15-2x)x

Volume of box =[tex]4x^3-74x^2+330x[/tex]

Differentiate w.r.t x

[tex]\frac{dV}{dx}=12x^2-148x+330[/tex]

Substitute derivative =0

[tex]12x^2-148x+330=0\\x=\frac{37-\sqrt{379}}{6},\frac{37+\sqrt{379}}{6}\\\frac{d^2V}{dx^2}=24x-148[/tex]

at [tex]x=\frac{37-\sqrt{379}}{6}[/tex]

[tex]\frac{d^2V}{dx^2}=24x-148=24(\frac{37-\sqrt{379}}{6} )-148=-77.87 < 0[/tex] hence maximum

at  [tex]x=\frac{37+\sqrt{379}}{6}[/tex]

[tex]\frac{d^2V}{dx^2}=24x-148=24(\frac{37+\sqrt{379}}{6} )-148=77.87>0[/tex] hence minimum

So,Volume of box =[tex]4x^3-74x^2+330x=4(\frac{37-\sqrt{379}}{6} )^3-74(\frac{37-\sqrt{379}}{6} )^2+330(\frac{37-\sqrt{379}}{6} )=432.23 in^3[/tex]

Hence Volume of box is [tex]432 in^3[/tex]

Please help me !! HELP ASAP! THANK U

Answers

Answer:

The answer is 1,028!

Step-by-step explanation:

Add them together. $699 + $329 = $1,028

Answer: $3084

Step-by-step explanation: The cost of ipad and iphone together costs 1028 and you mutiply that by 3 to get the amount for 3 people

Solve for the indicated variable x/9 - g = a for x

Answers

Answer:

x =  9(a+g)

Step-by-step explanation:

x/9 - g = a

Add g to each side

x/9 - g+g = a+g

x/9 = a+g

Multiply each side by 9

x/9 * 9 = 9(a+g)

x =  9(a+g)

Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie?

Answers

Answer:

56+12=68.         68 inches

Step-by-step explanation:

julie‘s shadow is 12 inches taller than Nicole’ so you would just add 12 to 56.

PLEASE ANSWER is the answer A,B or C???

Answers

Answer:

A. Black Dogs

Step-by-step explanation:

it cant be any other one because it says for every brown dog there are 2 of a different dog. So there are 5 brown dogs so that means there is going to be ten of another kind and that is the black dogs.

I have no idea where to start

Answers

Let me know if you want the answer, but what you need to do first is get the opposite angles.

They're on straight lines, so 180 minus that angle would equal the angle inside the triangle.

Then all inner angles if a triangle add up to 180° so 180 minus the two other angle would give you the final missing angle.

Do the straight line thing again and subtract 156 from it.

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Answers

Answer:

7 1/2

Step-by-step explanation:

Let's add the whole numbers first, 3 + 4 = 7

Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2

so answer is 7 1/2

7 1/2 ajanxnmxbxn mcbzmxnxkxncnxnxm

could you guys simply these!! I need help asap! :)

Answers

Answer:

Step-by-step explanation:

1. 7x+7

2. 2y+5

Not sure about 3 or 4

5. 11x

6.5x+7

7.10x-9y

8. 5x+5y

Not sure about 9

10. 4x+4

Answer:

7x+7

2y+5

6x^2+3y

5a^3+4a^2+3a (This one is the same because none of the terms are alike)

11x

5x+7

10x-9y

5x+5y

x^2+6x

4x+4

Step-by-step explanation:

Combine like terms for all of these, meaning adding or subtracting anything that has the same variable or power of a variable attached to it.

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(16, -16)
(13, 16)
(8, 7)

Answers

Answer:

Domain: { 16, 13 , 8 }

Range: { −16, 16, 7 }

Step-by-step explanation:

The domain is the set of all the values of  x.

The range is the set of all the values of  y .

Help please ;^;^;^;^;^;^;^;^;^; ​

Answers

Answer:

10n+10=8n-10

n= -10

I hope this helps

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Answers

The area of a triangle can be found using the formula 1/2bh, where the variable b represents the value of the base and the variable h represents the value of the height.

What is the probability of flipping at least 2 heads? As a Fraction

Answers

Answer:

81/100

Step-by-step explanation:

flipping a coin one, two, three or four times. 0.81 is the probability of getting 2 Heads in 5 tosses.

The length of a baby python increases from 15 inches to 18 inches in one month. By what percentage did the length of the python increase? 120%; 83%; 20%; 3%

Answers

Answer:

20%

Step-by-step explanation:

20% of 15 is 3.

(To check 3 x 5 = 15. 20 x 5 = 1.00)

3 +15 = 18.

Answer:

20% is the answer

Step-by-step explanation:

18-15=3 inches

3/15=20%

so +20% to 15 =18 inches

A parking lot has 88 parking spaces. Of those, 4 are reserved for disability parking, 48 are for full-size cars, and the remaining spaces are for compact cars. What is the ratio of compact spaces to full-size spaces?

Answers

The total parking space is 88. 4 are reserved which leaves us with 84. 48 of the remaining cars are for full size cars with a remaining of 36 cars that are compact cars. The ratio of compact to full size is 36:48 to simplify it divide by 3 on bot sides. You get a ratio of 3:4

What is the answer to 49/4018

Answers

Answer:

1/82

Step-by-step explanation

Divide both the numerator and denominator by 49 to get the simplified version.

[tex]\frac{49}{4018}\frac{/49 }{/49} \frac{1}{82}[/tex]

Hope this helps!

is 128 is a perfect cube​

Answers

no it is not a perfect cube
No it’s not

Because 128=27

helppp!!

Identify the slope of the following equation:
-4x + 3y = 3

Answers

Answer:

the answer is -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4x+3y=3

-4x/3=3-3y/3

x=1.5

Therefore the slope in 1.5

Ruth wants to buy a skateboard for $56. She has $90 in her account. She spent $11.65 to buy stationary. She also wants to buy some comic books for $3.72 each. What is the maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard?

n ≥ 6
n ≤ 6
n ≤ 16
n ≥ 16

Answers

Answer:

n ≤ 6

Step-by-step explanation:

She can't buy more than 6 comic books in order to have enough money to buy skateboard.

90 - 11.65 - 56 = 22.35

Comic Books:

22.35 : 3.72 = 6.008

Answer:

IT B

Step-by-step explanation:

TOOK THE TEST AND IT WAS RIGHT

K(x)=-2|3x+1|-3 ; find k(-3). Please help

Answers

-2|3(-3)+1| -3= -2|-8|-3= -16-3=-19

What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y=1/5x+4
Oy= 1/5x+12/5
O y = -5x + 4
O y=-5x +12/5

Answers

The equation of the parallel line that passes through the point (-2, 2) is y= (1/5) x + (12/5)

What is meant by line's slope?The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run." Choose two points on the line and calculate their coordinates. Determine the difference in y-coordinates between these two points. Determine the difference in x-coordinates between these two points. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).There are four types of slopes: negative, positive, zero, and undefined. as x grows The slope of a line can also be interpreted as the "average rate of change."

Therefore,

The slopes of the two lines will be the same because it runs parallel to the line predicted by the equation.

The slope of the line is 1/5,

We know that the line is y= (1/5) x + c.

We can now find the y-intercept using the given point (-2,2).

[tex]$&\Rightarrow y=m x+c \\[/tex]

[tex]&y^2=\frac{1}{5}(-2)+c \\[/tex]

[tex]&\Rightarrow^2=\frac{-2}{5}+c \\[/tex]

[tex]&\Rightarrow c=2+\frac{2}{5}=\frac{10+2}{5}=\frac{12}{5} \\[/tex]

[tex]&\Rightarrow c=\frac{12}{5}[/tex]

Hence, The line's final equation will be [tex]y=\frac{1}{5} x+\frac{12}{5}[/tex]

To learn more about line's slope, refer to:

https://brainly.com/question/16949303

#SPJ2

Answer:

b) y = 1/5x + 12/5

Step-by-step explanation:

took the test on edge

A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)

Answers

Answer:

Step-by-step explanation:

Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.

From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)

Next is to find the value of x from the equation

x+30 = 75

Subtract 30 from both sides of the equation;  

x+30-30 = 75-30

x = 75-30

x = 45

Hence the measure of angle x is 45°

Answer:

The answer is 45

Step-by-step explanation:

I got this on a test once and got it right

Two times a number +1 is greater than five and less than seven

Answers

Answer:

6

Step-by-step explanation:

because you should know it is well maybe it should have a decimal

The answer is Six.

Explanation:
2 times a number +1 is greater than five but less than seven. That means the answer is in between 5 and 7. 5 !!6!! 7
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