1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddika [18.5K]
3 years ago
6

Find measure of angle M

Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0

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°

WINSTONCH [101]3 years ago
4 0

☃ \large{ \tt{STEP - BY -STEP \: EXPLANATION}} :

☼ 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 :

♨ \large{ \tt{G \: I\: V \: E \: N}}:

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

☥ \large{  \tt{T\: O \:  \: F \: I \: N \: D}} :

  • measure of \angle M

☪ \large{ \tt{S \: O \: L \: U \: T \: I \: O\: N}} :

  • Since MNOL is a parallelogram , MN \parallel OL.

~Set up an equation & solve for x

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

⟿ \large \tt \: 5x \degree + 18 \degree + 4x \degree - 9 \degree = 180 \degree

⟿ \large \tt \: 9x \degree + 9 \degree = 180 \degree

⟿ \large \tt \:9x \degree = 180 \degree - 9 \degree

⟿ \large \tt \: 9x \degree = 171 \degree

⟿ \large \tt \: x \degree = \frac{171 \degree}{9 \degree}

⟿ \large{ \tt{x \:  = 19 \degree}}

  • The value of x is 19°. Again , Finding the value of \angle M :

♕ \large \tt \: REPLACING \: VALUE:

  • { \tt{ \angle \: m = (4x - 9) \degree = (4 \times 19 \degree - 9) \degree} =  \boxed{ \tt{67 \degree}}}

☥ \boxed{ \boxed{ \tt{Our \: Final \: Answer :  \boxed{ \underline{ \tt{67 \degree}}}}}}

✺ 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 ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

You might be interested in
The quotient of a secret number and 4 is 9
Anna [14]
Let's call the 'secret number' <em>x</em>.

A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is <em>x</em>.

<em />Therefore:
<em>x/4=9
</em><em />We need to isolate the variable by the multiplication property of equality.
<em>x=36</em>.

As a result, the "secret number" is 36
4 0
3 years ago
Simplify (x^3)(x^-2)
Charra [1.4K]
Hey there!

When multiplying variables with the same degree, be sure to add the two degrees being multiplied.

For example;

x * x; both of these terms have the degree of "1" as they are "x^1". Since we are multiplying them, we need to add their degrees.
x^1 * x^1 = x^2

Now that we've broken down what we are doing, let's apply this new knowledge to your problem.

(x^3)(x^-2); Remember to just add the degrees; -2 + 3 = 1
This means our product is x^1, or just x.

I hope this helps!
8 0
4 years ago
What do I’m supposed to do ?
vlabodo [156]

Answer: okay so first solve for x which is going to be x=10

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the 4th term of the linear sequence below?<br> -9,-5, -1,3,7,...
Anton [14]

Answer:

The 4th term of the linear sequence = 3

Step-by-step explanation:

First term, a = -9

Common difference, d = -5 - (-9)

= -5 + 9

= 4

d = 4

The 4th term of the linear sequence = a + (n - 1)d

where,

n = 4

a + (n - 1)d

= -9 + (4 - 1)4

= -9 + (3)4

= -9 + 12

= 3

The 4th term of the linear sequence = 3

7 0
3 years ago
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
zalisa [80]

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

7 0
3 years ago
Other questions:
  • In which quadrant does the terminal side of the angle 215° lie?
    5·1 answer
  • How do you use a number line to round 148 to the nearest 10? Explain.
    14·2 answers
  • Five hundred tickets were sold for a play the tickets cost $7.50 for adults and $4.00 for children A total of $3,312.50 was rece
    5·1 answer
  • Which of the following linear equations in standard form contain points (-2,4) and (3,9)
    13·1 answer
  • Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the n
    8·1 answer
  • Alex scored 10% in his math test if the test was out of 30, what was his score
    13·2 answers
  • Explain how to wrie a function rule from the table then write one
    8·1 answer
  • Please help!<br>What is the answer to this question?<br>​
    10·2 answers
  • Please help me<br> I don’t know this
    14·1 answer
  • please help and describe and correct the error in finding a solution of the equation in two variables! i will mark you brainlies
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!