Given m<12= 121 and m<6= 75, find the measure of each missing angle.

Given M&lt;12= 121 And M&lt;6= 75, Find The Measure Of Each Missing Angle.

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

m<12 = 121°

m<6 = 75°

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

m<1 = 75° (substitution)

b. m<12 = m<1 + m2 (alternate exterior angles)

121° = 75° + m<2 (substitution)

121° - 75° = m<2 (subtraction property of equality)

46° = m<2

m<2 = 46°

c. m<1 + m<2 + m<3 = 180° (angles on a straight line)

75° + 46° + m<3 = 180° (substitution)

121° + m<3 = 180°

m<3 = 180° - 121° (subtraction property of equality)

m<3 = 59°

d. m<4 = m<3 (vertical angles)

m<4 = 59° (substitution)

e. m<5 + m<4 + m<6 = 180° (angles on a straight line)

m<5 + 59° + 75° = 180° (substitution)

m<5 + 134° = 180°

m<5 = 180° - 134° (Subtraction property of equality)

m<5 = 46°

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

m<7 = 121° (substitution)

g. m<8 = m<4 (vertical angles)

m<8 = 59° (substitution)

h. m<9 = m<6 (Alternate Interior Angles)

m<9 = 75° (substitution)

i. m<10 + m<9 = 180° (Linear Pair)

m<10 + 75° = 180° (substitution)

m<10 = 180° - 75° (Subtraction property of equality)

m<10 = 105°

j. m<11 = m<8 (vertical angles)

m<11 = 59° (substitution)

k. m<13 = m<10 (vertical angles)

m<13 = 105° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 75° (substitution)


Related Questions

solve for x ! I need help

Answers

Answer:

x = 47°

Step-by-step explanation:

This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.

Answer:

x=45.6

Step-by-step explanation:

(2x-2)+x+45=180

Combine like terms.

3x+43=180

Subtract 43 on both sides.

3x+43=180

   -43 -43

3x=137

Divide by 3 on both sides.

3x=137

/3   /3

x=45.6

(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:

Can someone help me with the equation please?

Answers

Answer:

6 shirts

Step-by-step explanation:

she spent 56 in total

56-20 for the pants

36 left and she bought 6 shirts

36 divided by 6

6

what is 32% of 65?????????????????????????????????????

Answers

Answer:20.8 is the correct answer

Step-by-step explanation:asked Siri

Somebody please help me I’ll give you brainiest if you’re right

Answers

Answer: I belive the answer would be 18 the only number we have is 52 and 36 the other answers just don't make sense, I am only taking 9th grade but hey I try!

Step-by-step explanation:

explain how to convert decimal form into fractional form​

Answers

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

Answer:

[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]

One-fourth of a number is 22. Find the number.

Answers

Answer:

5.50

Step-by-step explanation:

I am smart

32x – 14x = 288

with solution please and thank you

Answers

Answer:

x=16

Step-by-step explanation:

32x−14x=288

Step 1: Simplify both sides of the equation.

32x−14x=288

32x+−14x=288

(32x+−14x)=288(Combine Like Terms)

18x=288

18x=288

Step 2: Divide both sides by 18.

18x18=28818

x=16

Answer: x = 16

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Simplify 32[tex]x[/tex] − 14[tex]x[/tex] to 18[tex]x[/tex].

18[tex]x[/tex] = 288

Step 2: Divide both sides by 18.

[tex]x = \frac{288}{18}[/tex]

Step 3: Simplify [tex]\frac{288}{18}[/tex] to 16.

[tex]x[/tex] = 16

~I hope I helped you! :)~

A plot of land is valued at $18,000.Land tax is charged at the rate of 0.70 per $100. What is the total amount of tax paid for the land?

Answers

Answer:

The total amount of tax paid for the land was $126

Step-by-step explanation:

Proportions

The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:

0.7 / 100 =0.007

This factor can be used to obtain the tax charged for a given value of the land.

The plot of land of the question is valued at $18,000.

The tax charged is, then:

0.007*18,000 = 126

The total amount of tax paid for the land was $126

It takes 12 men 5 days to complete a job
Work out how many days it would take 3 men to complete the same job

Answers

Answer: 8

Step-by-step explanation: i took the test

1.25 days would be taken for 3 men to complete the same job.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that 12 men 5 days to complete a job

We have to find for how many days three men can complete the same job.

Let x be the time taken by 3 men to complete the job.

Formulate a proportional equation.

12/5=3/x

Apply cross multiplication

12x=15

Divide both sides by 12

x=15/12

both 15 and 12 are multiples of 3

x=5/4

x=1.25

Hence, 1.25 days would be taken for 3 men to complete the same job.

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Find the measure of the exterior angle.
64
76

Answers

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

How to find the exterior angles of a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

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halp plz am really dumb my brain doesnt work today

Answers

Answer:

4

Step-by-step explanation:

Answer:

0.4

hope this is usefull to you

a ball is dropped from a height of 144 inches. it's hight on the 1st bounce is 72 inches. on the 2nd and 3rd bounce, the height of the ball is 36 inches and 18 inches, respectively. the heights from a geometric sequence. what is the height of the ball on the 6th bounce to the nearest tenth of an inch?

Answers

Answer:

[tex]2.25[/tex]

Step-by-step explanation:

[tex]the \: n {}^{th} \: term \: of \: a \: gs = {a(r)}^{n - 1} = \\ 72( 0.5) {}^{6 - 1} = 72 \times 0.03125 = \\ 2.25[/tex]

264 equals the sum of 96 and t
Write the sentence as an equation.

Answers

Answer:

96+t=264

Step-by-step explanation:

ANSWER: t+96=264
No explanation needed!

If multiple people answer i will mark the the first brainliest

Answers

Answer:

nice

Step-by-step explanation:

Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.

Answers

Answer: 3x + x = 67To solve: 4x = 67                  /4.   /4x = 16.75

4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Together, Matthew and Daniel have 67 DVDs.

M+D=67

Let x represents the number of DVDs

Matthew's collection has 3 times as many DVDs as Daniel's collection.

M=3D

Now M=D=x

As Matthew and Daniel have 67 DVDs.

3x+x=67

4x=67

Hence, 4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

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Please help. I do not understand and I have limited time to do so

Answers

Answer:

D would be the answer

Step-by-step explanation:

since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)

Farrah, Alice, and Pia each bought between 5 and 8 feet of yarn. Farrah bought 7 pieces of yarn. Alice bought 6 pieces of yarn. Pia bought 9 pieces of yarn. The lengths of yarn are given below.

Drag yarn to the box below each person's name to show what they could have bought.

Answers

Answer:

Farrah: 5 pieces of (3/4) blue yarn, 1 piece of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Alice:  3 pieces of (3/4) blue yarn, 2 pieces of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Pia: 9 pieces of (3/4) blue yarn

Explanation: Farrah: (0.75*5)+1 3/5+2.5 = 7.85 ft

Alice: (0.75*3)+(1 3/5*2)+2.5= 7.95 ft

Pia: 0.75*9 = 6.75 ft

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

Step-by-step explanation:

Farrah

5 pieces of (3/4) blue yarn,

1 piece of (1 3/5) red yarn,

1 piece of (2 1/2) green yard

Alice

3 pieces of (3/4) blue yarn,

2 pieces of (1 3/5) red yarn

1 piece of (2 1/2) green yard

Pia

9 pieces of (3/4) blue yarn

2. In the tournament, the Tigers scored 44,
56, and 47 points in the first three games.
If their four-game tournament average
score was 52 points, how much did they
score in their final game?
B. 55
C. 58
E. None of the above

Answers

Answer:

58

Step-by-step explanation:

Elizabeth her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?

Help me please

Answers

Answer:

29.11

Step-by-step explanation:

2x-2y= 14 standard to slope and intercept form

Answers

2x - 2y = 14

-2y = 14-2x

y= -7 + x

y = x - 7

i need help on math

Answers

x=2
2x-3=-x+3

add three to both sides
add 1x to each side
should be left with 3x=6
divide both sides by 3 to get x alone
your answer then is x=2

Pls someone help me please

Answers

2

1

3

5/8 = 0.625

1/3 = 0.3333...

17/24 = 0.70833333

Matrix elements! Can someone help

Answers

Answer:

2

Step-by-step explanation:

The number is in the fifth row  and first column so 2

Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.
2, 6, 10, 14, 18,

Answers

Answer:

[tex]a_{n}[/tex] = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

the sum of three consecutive odd integers is 57. what are the three integers

Answers

Answer:

17,19,21

Step-by-step explanation:

let the first odd number be "x"

formular : (x)+(x+2)+(x+4).

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

apply the formular.

17,(17+2),(17+4)

17,19,21.

What is the slope of the line that passes through the point (8, - 4) and (6, 2) ? Write your answer in simplest form.

Answers

Answer:

y= -3x + 20

Step-by-step explanation:

just graph it out

4. Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.

Answers

Answer:

hey! You have to use the trigonometric formula because it's a rectangle triangle:

(a^2)+(b^2)=(c^2)

(11^2)+(11^2)=(c^2)

√(242)=√(c^2)

15.56=c

So basically, the answer is D!

The square ABCD has equal sides, and the length of the diagonal AC is 15.6 centimeters

How to determine the length of the diagonal?

The side length of the square is given as:

l = 11 cm

The length of the diagonal is calculated using:

Diagonal = l * √2

This gives

Diagonal = 11 * √2

Evaluate

Diagonal = 15.6

Hence, the length of the diagonal AC is 15.6 centimeters

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answer for these. this is not any kind of test.

Answers

Step-by-step explanation:

12) 42

13) 10.4

14)

a) 0.25

b) 0.39

15) 2.1

16) 35.7

17) 270£

tge answer for b the fraction id 7/18

(-6x^2-x)-(-4x^2+10x-1)
will give brainlest and 20 points and please hurry

Answers

Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried

Step-by-step explanation:

f(x) = 4x-1
g(x)=4- x
11) f(-4)=
12) For what value of x is g(x)=-4?
13) f(2)• g(2) =
14)
f(-3)

Answers

Step-by-step explanation:

11. f(-4)= 4x-1

11a. f(-4)= 4(-4)-1

11b. f(-4)= -16-1

11c. f(-4)=-17

12. For what value of x is g(x)=-4

12a. 4-? = -4

12b. 4-8= -4

12c. x = 8

13. (f(2)= 4x-1)×(g(2)= 4-x)

13a. (f(2)= 4(2)-1)×(g(2)= 4-(2)

13b. (f(2)= 8-1)×(g(2)= 4-2)

13c. (f(2)= 9)×(g(2)= 2)

13d. 18

14. f(-3)= 4x-1

14a. f(-3)= 4(-3)-1

14b. f(-3)= -12-1

14c. f(-3)= -13

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