Find measure of angle M

Find Measure Of Angle M

Answers

Answer 1

Answer:

5x+18+4x-9=360

9x+9=360

9x=360-9

9x=351

x=351/9

x=39

therefore, <M=4(39)-9

<M=156-9

<M=147°

Answer 2

☃ [tex] \large{ \tt{STEP - BY -STEP \: EXPLANATION}} : [/tex]

☼ Some Questions and their answers which should be known before you start to solve the given question :

☄Do you know what the figure is ?

⇢ The given figure , MNOL is a parallelogram.

☄ Do you know about co-interior angles ?

⇢A pair of interior angles which lies to the same side of transversal is known as co-interior angles. On parallel lines , co - interior [ C ] angles adds up to 180°.

⇾ Our Q/A part ends up here! Now let's start solving :

♨ [tex] \large{ \tt{G \: I\: V \: E \: N}}:[/tex]

MNOL is a parallelogram , [tex] \angle[/tex] L = ( 5x + 18 ) °& [tex] \angle[/tex] M = ( 4x - 9 ) °

☥ [tex] \large{ \tt{T\: O \: \: F \: I \: N \: D}} : [/tex]

measure of [tex] \angle[/tex] M

☪ [tex] \large{ \tt{S \: O \: L \: U \: T \: I \: O\: N}} : [/tex]

Since MNOL is a parallelogram , MN [tex] \parallel[/tex] OL.

~Set up an equation & solve for x

۵ [tex] \large{ \tt{(5x + 18) \degree + (4x - 9) \degree = 180 \degree}}[/tex] [ Sum of co-interior angles ]

⟿ [tex] \large \tt \: 5x \degree + 18 \degree + 4x \degree - 9 \degree = 180 \degree[/tex]

⟿ [tex] \large \tt \: 9x \degree + 9 \degree = 180 \degree[/tex]

⟿ [tex] \large \tt \:9x \degree = 180 \degree - 9 \degree[/tex]

⟿ [tex] \large \tt \: 9x \degree = 171 \degree[/tex]

⟿ [tex] \large \tt \: x \degree = \frac{171 \degree}{9 \degree} [/tex]

⟿ [tex] \large{ \tt{x \: = 19 \degree}}[/tex]

The value of x is 19°. Again , Finding the value of [tex] \angle[/tex] M :

♕ [tex] \large \tt \: REPLACING \: VALUE: [/tex]

[tex] { \tt{ \angle \: m = (4x - 9) \degree = (4 \times 19 \degree - 9) \degree} = \boxed{ \tt{67 \degree}}}[/tex]

☥ [tex] \boxed{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{67 \degree}}}}}}[/tex]

✺ If you are studying at 3 :00 am , make sure you are STUDYING because you are sacrificing your sleep! ✔

♡ Hope I helped! ✎

Have a wonderful day / night !

# StayInAndExplore ☂

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Related Questions

Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!

Answers

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

CAN SOMEONE HELP ME FAST PLS

Answers

Answer:

Just follow the lines

Answer:

Madison saved more than $16

Step-by-step explanation:

A greater than sign with a line under means its greater than or equal to and 'more than $16' means it either is 16 and some cents or more than $16

Help pls lol everyone says something different and i’m not sure Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tir2
18 inches
Area = [?] inches
Enter the number that
belongs in the green box.
Enter

Answers

Answer:

I think it's 9

Step-by-step explanation:

18÷2=9

9•2=18

I really hope this helps

Answer:

A = πd²/4

A = 3.14(18 in)²/4

A = 3.14(324 in²)/4

A = 1017.36 in²/4

A = 254.34 in²

The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)

Answers

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

Diameter of the circle = 7

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

While developing x-bar and R charts, the manager took 10 samples each of size 6. The average of sample means was 3.2. The average range value was 0.6. What will be the value of UCL for the R-chart?
a. 1.2
b. 1.4
c. 1.5
d. 1.7

Answers

Answer:

Option a. 1.2 is the correct answer

Step-by-step explanation:

Given the data in the question;

sample size n = 10

sub group = 6

The average of sample means x" = 3.2

Average range value R' = 0.6

the value of UCL for the R-chart = ?

To get the value of UCL for the R-chart, we say;

[tex]UCL_R[/tex] = D₄ × R'

from table of constants "Tabular values for x-bar and range charts

for size 6, the factor for control limits for range D₄ = 2.004

so we substitute  

[tex]UCL_R[/tex] = 2.004 × 0.6  

[tex]UCL_R[/tex] = 1.2024 ≈ 1.2  

Hence, Option a. 1.2 is the correct answer.

Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

From a given vertex, two of the vertices are adjacent, so a "diagonal" to those will not form a triangle. The number of diagonals that can be drawn is 3 fewer than the number of sides. The number of triangles is 1 more than the number of diagonals.

For a 5-sided figure, 2 diagonals can be drawn from a common vertex.

  3 triangles will be formed.

Ling wants to determine the average distance she travels each day in her car. She records the odometer reading, which measures the distance the car has traveled, each morning for a week. What is the mean distance Ling travels each day? Show your work.( Will Mark Brainliest if answer is correct)​

Answers

Answer:

[tex]Mean = 10724.29\ mi[/tex]

Step-by-step explanation:

Given

[tex]n = 7[/tex] --- days

See attachment for odometer readings

Required

The mean of the distance

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean = \frac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477}{7}[/tex]

[tex]Mean = \frac{75070}{7}[/tex]

[tex]Mean = 10724.2857143[/tex]

Approximate

[tex]Mean = 10724.29\ mi[/tex]

Answer:

Yeah I’m completely stuck on this question I’m just gonna go with 61 because 10,211-10,115 is 61 miles and that’s the only realistic answer I can get.

What is the area of this figure?

Answers

Answer:

416

Step-by-step explanation:

since this is a trapezoid, you would calculate the area by the formula

(a+b )h/2 where h is the height and a and b are the 2 bases

When you plug the values in you get the answer as 416

Hope this Helps!

3 2/3 - 1 1/4 what’s the answer

Answers

Answer:

95/12 as an improper fraction.

Answer:

[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Factor 6x^2 + x − 2

Answers

Answer:

(2−1)(3+2)

Step-by-step explanation:

Rewrite in product form

2x(3x+2) - 1(3x+2)

(2x-1) (3x+2)

Please answer number 9 I’ll give brainliest

Answers

Answer:

2/3 or 66.7%

Step-by-step explanation:

there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3

Help meeeeeee ASAP helppppppp

Answers

Answer:

45 × 1/3 = 15

Step-by-step explanation:

15 / (1/3) = (3×15)/1 = 45

so, from 15 / (1/3) = 45

we can then adapt the equation by multiplying both sides by 1/3

15 = 45 × (1/3)

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sqrt41

Step-by-step explanation:

a^2+b^2=c^2

25+16=41

sqrt41

Answer:

6.40312

Step-by-step explanation:

Why did the farmer open a bakery?

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

What is the x coordinate for { -6,0)

Answers

Answer:

-6

Step-by-step explanation:

because it is the first coordinate in the bracket

Determine whether the data set represents a direct variation, an inverse variation, or neither?

A.direct variation

B. Inverse variation

C. Neither

Answers

The data set represents an inverse variation. When x increases, y decreases, and vice versa. This is the hallmark of an inverse variation. So, the correct answer is B: Inverse variation.

What do you mean by Inverse Variation?

Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other and vice versa. In other words, the product of the two variables remains constant as the values of the variables change. This relationship is represented by the equation y = k/x, where y and x are the two variables, and k is a constant.

For example, consider the situation where the speed of a car is inversely proportional to the time it takes to cover a certain distance. If a car covers a distance of 60 miles in 1 hour, it would cover a distance of 30 miles in 2 hours, because the speed has halved. This relationship can be represented mathematically as s = k/t, where s is the speed, t is the time, and k is a constant.

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ1

what expressions are equivalent to 1/5•1/5•1/5•1/5

Answers

Answer:

Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

c because if you put them both in the calculator they are the same

Is 4_4 greater than 7_8

Answers

Answer:

Yes

Step-by-step explanation:

4/4 is the same thing as 4 divided by 4 which equals 1

7/8 is the same thing as 7 divided by 8 which equals 0.875

Since 1 > 0.875, 4/4 > 7/8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the area of the trapezoid shown below? 5 units 6 units 9 units

Answers

Answer:

N/A

Step-by-step explanation:

Please be more specific, which is base and which is height

66. The quadrilaterals below are similar.
What is the length of FG?

Answers

Answer: 9

Step-by-step explanation:

18/6 = 3

3 x 3 = 9

Solve this equation for x. Round your answer to
the nearest hundredth.
6 = ln(x + 4)

Answers

Answer:

x ≈ 399.43

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{e}[/tex] (x + 4) = 6 , then

x + 4 = [tex]e^{6}[/tex] ( subtract 4 from both sides )

x = [tex]e^{6}[/tex] - 4 ≈ 399.43 ( to the nearest hundredth )

HELPP!!! Which expression is equivalent to

Answers

Answer:

answer is the first option

Step-by-step explanation:

double checked all and the first one is the correct one

(15) A – 2 2/9 = 1 1/2

16) C – 6.0005 = 2.5

17) B + 55 = 83

Answers

Answer:

A= 67/18

C= 8.5005

B= 28

Step-by-step explanation:

PLZ AWNSER I HAVE 10 MIN TO COMPLETE

Answers

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

Find the Area of the figure below, composed of a parallelogram and one
semicircle. Rounded to the nearest tenths place

Thanks!

Answers

Answer:

300.5 = 300

Step-by-step explanation:

area= base x height (parallelogram)

area= [tex]\frac{\pi r^2}{2}[/tex] (semicircle)

parallelogram: 11 x 20 = 220

semicircle: [tex]\left[\begin{\frac{22(8^2)}{7}}\right] \frac{1}{2}[/tex]

=> [tex]\frac{1408}{14}\\[/tex]

=> 100.5

therefore 100.5 + 220 = 300.5-ans.

3^3 x 3 ^ (y-2) = 3 ^-2 , the value of y is

Your answer​

Answers

Answer:

y = -3

Step-by-step explanation:

TO FIND :-

Value of y

FACTS TO KNOW BEFORE SOLVING :-

A simple law of exponents which will be used to solve the problem :-

[tex]x^a \times x^b = x^{a+b}[/tex].

SOLUTION :-

[tex]3^3 \times 3^{(y-2)} = 3^{-2}[/tex]

[tex]=> 3^{3+y-2} = 3^{-2}[/tex]

[tex]=> 3^{y+1} = 3^{-2}[/tex]

Bases are same in both sides of equation. So , their powers must be equal to each other.

[tex]=> y + 1 = -2[/tex]

[tex]=> y = -2 - 1 = -3[/tex]

HELP ME PLEASEEEEEEEEEEEEE

Answers

Answer:

406

Step-by-step explanation:

hii :)

so to find the area we're going to find the area of the shapes and add them.

both 14 by 7 faces: 98*2=196

both 5 by 14 faces: 70*2=140

both little squares: they are 7 by 5 because the first shape would fold over so they would be equal. 35*2=70

adding them together: 196+140+70=406

hope this helped!

Why did the physiocrats oppose mercantilism?

The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answers

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

What is the volume of a cylinder with a height of 16.5 in and a base with a diameter of 17.2 in, to the nearest tenth of a cubic inch?

Answers

V=S(base)*h=pi*r2
V=pi*r2*h
V=3,14*(half of diameter in square)8,75in square*16,5
V=3,14*8,75(in square)*16,5in
===3966,7
This is correct!!!Im pretty sure!!!☺️

Answer: 3833.8 in^3

Step-by-step explanation:

trust me bro i pinky promise

in Carla's backyard there are four trees whose measurements she records as 13 feet 7 feet 9 feet and 6 feet determine the mean height of trees in Carla's back yard​

Answers

Answer:

ok sure

Step-by-step explanation:

So 'mean' basically just means average, and to get the average you must first add together all of the measurements. Then you have to divide that number by how many measurements you have, and in this case that would be 4.

       13 + 7 + 9 + 6 = 35

           35 ÷ 4 = 8.75

So  the answer to this question is 8.75

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