LAST ONE \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle

LAST ONE \small \angle L And \small \angle M Are Supplementary, \small M\angle L=12x+45 And \small M\angle

Answers

Answer 1

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]


Related Questions

Algebraic equations with two or more operations can be solved by undoing them in reverse order of operations. True or false?

Answers

Answer:

false you would do it in order of operations

34.5 km to miles?? Pls help

Answers

the answer is 21.43 miles !

Answer: 21.44 miles

Step-by-step explanation:hope it helps!

what is the domain of f(x)=9-x²
A(.fx)≥9
B.All real numbers
C.-3≤x≤3
D. x≤9

Answers

Answer:

B. all real numbers

Step-by-step explanation:

hope that helps

Answer:

B  hope this helps :)

Step-by-step explanation:

Number 5 please help need answers thanks!!!!Have a great day!


Answers

Answer:

3 = 275, 5 = 305, 8= 350, 12 = 410

Step-by-step explanation:

3x15+230, (305-230)/15, im bored plz just take the answer

Solve the equation 4+x/-9=6

Answers

Answer:

x = -18

Step-by-step explanation:

4+ x / -9 = 6

x / -9 = 6 - 4

x / -9 = 2

x = 2*-9

x = -18

found this deimos Google hope this helps -

x in (-oo:+oo)

x/4-9 = 6 // - 6

x/4-9-6 = 0

1/4*x-15 = 0 // + 15

1/4*x = 15 // : 1/4

x = 15/1/4

x = 60

What whole number power of 2 is 16384?

Answers

We just take the square root of 16384.

√16384 = 128

128^2 = 16384

Best of Luck!

10. A movie theater sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 4 different topping choices: butter, cheese, caramel, or salt. [4 points] How many unique ways can you order a bag of popcorn? (You can only select one topping.) Ans:_ What is the probability that a randomly selected popcorn is large with either butter or salt?

Answers

Answer: 12

Step-by-step explanation:

The answer is 12 because:

sizes are 3

toppings are 4

Using the Fundamental Counting Principal you multiple the selections

( 3 x 4=12)

So just learn the fundamental counting principal and it'll be easier. :)

The number of unique ways that you can order a bag of popcorn if you can only select one topping is 12 ways.

How do solve probability combinations?

Combinations in probability refer to sequences of outcomes where the order does not matter.

Combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! × (n - r)! where n represents the total number of items, and r represents the number of items being chosen at a time.

We are given the 3 different sizes of popcorn as;

Small

Medium

Large

Now, we are told that an order of popcorn comes with 4 different topping choices. Thus;

A number of unique ways that you can order a bag of popcorn are;

N = 3×4 = 12 unique ways

Read more about the probability combinations at; brainly.com/question/24756209

#SPJ2

1-2 +4.32 - 6
a.-16
b
-14
2. 5 + 422(3)
C28
3. -5- (32 +2)
d. 29
4 22 3.6

Answers

Answer:

-16

Step-by-step explanation:

did the math

Consider the function g(x) = -3x - 4 if the domain value is selected from the set {-8, -2, 0, 3}, which of the following is a corresponding range value?

A. 18
B. -10
C. -13
D. -5

Answers

Answer:

C. -13

Step-by-step explanation:

Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:

{20, 2, -4, -13}

-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13

C. [tex]-13[/tex] is a corresponding range value.

The domain of a function refers to the set of all values for which the function is defined.

The range is the set of all values that function takes for the given values of domain.

Domain is [tex]\boldsymbol{\left \{ -8,-2,0,3 \right \}}[/tex]

[tex]g(x)=-3x-4[/tex]

[tex]g(-8)=-3(-8)-4[/tex]

         [tex]=20[/tex]

[tex]g(-2)=-3(-2)-4[/tex]

         [tex]=2[/tex]

[tex]g(0)=-3(0)-4[/tex]

       [tex]=-4[/tex]

[tex]g(3)=-3(3)-4[/tex]

       [tex]=-13[/tex]

Range is [tex]\boldsymbol{\left \{ 20,2,-4,-13 \right \}}[/tex]

So, [tex]\boldsymbol{-13}[/tex] is a corresponding range value.

For more information:

https://brainly.com/question/21853810?referrer=searchResults

work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie store. how many movies must u rent to spend the same amount at each movie store" then there's 2 pics one says "all rentals $1.50, membership fee $15" other says "membership free, all rentals $2.25"

Answers

Answer:

  20

Step-by-step explanation:

Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.

  15 = 0.75r

  15/0.75 = r = 20

You must rent 20 movies for the costs to be the same.

PLEASE CHECK MY ANSWERS!! 30 POINTS!

Answers

From what I’m thinking, I’m sure they’re all correct.

what is the slope of a line that passes through (-4,1) and (5,2)

Answers

basically use the formula y1-y2 over x1-x2 and just plug in the number

The Mp of coke is 20%more than its purchased price.if the coke was sold after 15%duscount,there will be gain of rs.40,find the M.p and Cp

Answers

Answer:

let cp be x

mp= x+ (20% 0f x)= 1.2x

sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x

profit = 40

sp-cp =40

1.02x-x=40

x=2000

cp =2000

mp= 1.2*2000=2400

Step-by-step explanation:

Why mathematics is important for artificial intelligence and machine learning?

Answers

Answer:

it helps us understand the more of the society around us and how ir works

HOPE IT HELPS :)

Step-by-step explanation:

AI is essentially just math and programming.

Math and programming is also necessary for machine learning.

Mathematics is at the core of AI and machine learning because it provides means of implementing [put (a decision, plan, agreement) etc into effect] how their goals can be reached.

1.BINOMIAL: A POLYMOMIAL WITH EXACTLY..................... TERMS


2. TRINOMIAL: A POLYMOMIAL WITH EXACTLY......................... TERMS


3. COEFFICIENT: A............. IN A TERM OF AN ALGEBRAIC EXPRESSION.​

Answers

1. Bi means two
2. Tri means 3
3. Coefficient: a constant in a term of an algebraic expression. FYI coefficient is 5 in 5x

How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .

Answers

➢ Answєr :

[tex]\Huge{\boxed{\sf{\red{22.98m}}}}[/tex]

➢ Explαnαtion :

Givєn :

Radius of the tent,r = 3.5 mHeight of the tent, h = 8.4 m

To Find :

length of the cloth required.

Solution :

According to the question,

Slant height, l = [tex]\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ = 9.192m}}[/tex]

curved surface area = [tex]\displaystyle{\sf{ \pi rl}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 101.112}}[/tex]

i.e., Area of the cloth is 101.11m²

Now, length of the cloth required = [tex]\displaystyle{\sf{ \frac{area}{width}}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{101.11}{4.4}}}[/tex]

[tex]\implies[/tex] [tex]\large{\boxed{\sf{\red{22.98m}}}}[/tex]

3: Mary has 26 sweets and is able to share them evenly between her friends.
Mary has more than 1 friend.
Write down how many friends Mary might have.​

Answers

Answer:

Mary has 12 friends, and a total of 13 people including her. Or, she has 25 friends, and a total of 26 people including her.

Step-by-step explanation:

First, we know that 26 is divisible by 1, 2, 13, and 26 because (2x13) and (1x26) both equal 26 but we know that Mary has more than 1 friend and if Mary is also added to the group where the candy is divided, that means that 1 and 2 are both out because Mary has more than 1 friend so 1 cannot be the answer and if Mary has 2 friends, that means that the candy would have to be divided 3 ways which is not possible evenly so the answer is either 12 friends or 25 friends.

What is P= I^2r when solving for I?​

Answers

Answer:

  [tex]I=\sqrt{\dfrac{P}{r}}[/tex]

Step-by-step explanation:

Divide by r and take the square root.

  [tex]P=I^2r\\\\\dfrac{P}{r}=I^2\\\\\boxed{I=\sqrt{\dfrac{P}{r}}}[/tex]

RS=2x-8, ST= 11, RT= x+10

Answers

Answer:

X=7 ST=11 RT=17

Step-by-step explanation:

RT=RS+ST. RS= 2(7)-8. ST=11

X+10=2x-8+11. =14-8=6. RT= x+10

X+10=2x+3. RS=6. 7+10=17

10=x+3. RT=17

X=7

can someone help solve this math problem with steps and detail pls :) I really confused

Answers

Division first:

-2/5 / 8/15

When dividing two fractions flip

The second one over and multiply:

-2/5 x 15/8 = (-2x15)/(5x8) = -30/40 = -3/4

Now you have:

2-3/4-3/4

2-3/4 = 1 1/4

1 1/4 - 3/4 = 1/2

The answer is 1/2

2. Old folks Here is a stemplot of the percents of residents
aged 65 and older in the 50 states:
Key: 152 means 15.2% of
this state's residents are 65
or older.
7
8
9
10
11
12
13
14
15
16
0
8
8
019
16777
01122456778999
0001223344455689
023568
24
9
(a) Find the percentile for Colorado, where 10.1% of the
residents are aged 65 and older.
(b) Rhode Island is at the 80th percentile of the
distribution. Interpret this value. What percent of
Rhode Island's residents are aged 65 and older?

Answers

Answer:

34

Step-by-step explanation:

The temperature dropped 6 °F every hour for 5 hours. What was the total number of
degrees the temperature changed in the 5 hours?

Answers

Answer:30 degrees

Step-by-step explanation:

6 degrees times 5 hours

Write an expression for 4 more than -5x

Answers

Answer:

- 5x + 4

Step-by-step explanation:

Step 1:

- 5x

Step 2:

- 5x + 4

Answer"

- 5x + 4

Hope This Helps :)

what can be a segment bisector​

Answers

Answer:  A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts. Points, lines, segments, and rays are all types of segment bisectors. If either a ray or a line serves as a segment bisector, it will be infinite.

Hello your very welcome :)

Answer:A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts. ... Points, lines, segments, and rays are all types of segment bisectors. It will be infinite.

Step-by-step explanation:

Mary and her band are performing a concert. They need to make $1,963.50 to cover their travel, lodging, and meal costs. If they charge $8.50 for each ticket, how many tickets do they need to sell to cover their costs?

Answers

1963,50/8,50= 231
they need to sell 231 tickets

Answer:

231

Step-by-step explanation:

I got the answer right

Plot the image of point Q under a reflection across the -axis.
please help, I don’t know this question!

Answers

Answer:

pit it on -4 because your reflecting it on x

14. The measures of two complementary angles are 12x-9 and 8x+14. Find the
measures of the angles.

Answers

Step-by-step explanation:

Since they are complementry angles :

(12x-9) + (8x + 14) = 90°

20x + 5 = 90°

X = 4.25 °

Angles are 42° and 48°.

PLEASE HELP THIS IS DUE IN LIKE AN HOUR


What is the slope of the line that passes through the points shown in the table?

Answers

I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps

Find the surface area of each solid to the nearest tenth if necessary

Answers

Where’s your question? Like ...the numbers

A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve equation to find the number of hours T of labor spent repairing the car

Equation : __ =553

T= ___ hours

Answers

Answer:

6

Step-by-step explanation

265+48=313

553-313=240

240/60=6

Answer:

equation : 265 + 48T = 553

T = 6 hours

Step-by-step explanation:

equation

553 - 265 = 288

288 /48 = 6

the number of hours spent is 6

equation : 265 + 48T = 553

T = 6 hours

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