If m<2 = (2x)° and m<5 = (x+6)°, find the value

of ‘x’ and the m<4.

If M&lt;2 = (2x) And M&lt;5 = (x+6), Find The Value Of X And The M&lt;4.

Answers

Answer 1

Answer:

x = 58

[tex] m\angle 4 = 116\degree [/tex]

Step-by-step explanation:

[tex] m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\

m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\

\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\[/tex]

From equations (1) & (2)

[tex] m\angle 2 =180\degree-m\angle 5\\\\

\therefore (2x)\degree =180\degree-(x+6)\degree \\\\

\therefore (2x)\degree +(x+6)\degree =180\degree\\\\

\therefore (2x+x+6) \degree =180\degree\\\\

\therefore (3x+6) \degree =180\degree\\\\

3x + 6 = 180\\\\

3x = 180-6\\\\

3x = 174\\\\

x = \frac{174}{3} \\\\

\huge \purple {\boxed {x = 58}} \\\\

\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\

\therefore m\angle 4 = (2x)\degree \\\\

\therefore m\angle 4 = (2\times 58)\degree \\\\

\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} [/tex]


Related Questions

A movie theater has a seating capacity of 233. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1692, How many children, students, and adults attended? I kinda need to know these answers asap. I have tried everything to try and solve it but nothing worked. Please help.

Answers

Answer:

49 adults;  2*49 = 98 children  and  (207-3*49) = 60 students.

Step-by-step explanation:

hope this helps!! :))

122 children, 50 students, and 122 adults attended the movie theatre.

What is an equation?

A mathematical expression with an equality sign between two mathematical expressions is an equation.

How to solve it?

Let the number of students in the theater = x and the number of children in the theater = 2y

Since the number of adults in theater = Half of the number of children = 2y/2 = y

Given that the total seating capacity in the theater = 233

So, we can write

x  + 2y + y =  233

i.e.  x + 3y = 233 ...(1)

Given that the cost of 1 children's ticket = $5

i.e. the cost of 2y children tickets = 5 x (2y) = $10y

The cost of 1 student ticket = $7

i.e. the cost of x student ticket = $7x

The cost of 1 adult ticket = $12

i.e. the cost of y adult tickets = $12y  

Since the total ticket sales was $1692,

So, we can write

10y  + 7x + 12y =  1692

i.e. 7x + 22y = 1692 ...(2)

Now we have to solve the two equations (1) and (2).

multiplying (1) by 7,

7x + 21y = 1631 ...(3)

Subtracting (3) from (2),

7x + 22y - 7x - 21y = 1692 - 1631

i.e. y = 61

then 2y = 122

and x = 233 - (3 x 61) = 233 - 183 = 50

Therefore 122 children, 50 students, and 122 adults attended the movie theatre.

Learn more about the equations here -

https://brainly.com/question/13980943

#SPJ2

PLEASE HELP, MARKING BRAINLIEST!!!!

Which congruence statement do the triangles show?

A. SAS
B. AAS
C. ASA
D. SSS
E. HL
F. Not enough information

Answers

Answer:

side angle side SAS because it includes one angle and two sides.

Step-by-step explanation:

not sure but

What is the value of the expression (23 — 1) + 32?​

Answers

Answer:

54

Step-by-step explanation:

Since there are parantheses or however you spell them, by using PEMDAS, we do the parantheses first.

23 - 1 = 22

Now, we do the addition.

22 + 32 = 54

Answer:

54

Good luck! And have a great day!

(03.06)
Given the equation y - 4 = (X + 8) in point-slope form, identify the equation of
the same line in standard form.

Answers

Slope-intercept form: y=mx+b
Standard form: Ax+By=C


Answer: 3x-4y=-40

I hope this helps you :)

The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and explain what it means.

Answers

Answer:

-1250/1 or -1250

This tells us that the car depreciated in value by $1250 every year.

Step-by-step explanation:

11,095-13,595= -2500

This is the value that the car has depreciated over 2 years (from the first year to the third year)

Since we need to find the slope we divide this value by two.

That value would be -1250

Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year

Hope this helps!


HELP ME PLLZZZ+GOD LOVES YOU!
Last year at a certain high school, there were 80 boys on the honor roll and 88 girls on the honor roll. This year, the number of boys on the honor roll increased by 15% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).​

Answers

Answer:

40%

Step-by-step explanation:

15% + 25% = 40%

PLEASE HELP FAST
The proof that TriangleMNG ≅ TriangleKJG is shown.

Given: AngleN and AngleJ are right angles; NG ≅ JG
Prove: TriangleMNG ≅ TriangleKJG

Triangles M N G and J K G share point G. Angles M N G and G J K are right angles. Sides N G and G J are congruent.
What is the missing reason in the proof?

A 2-column table has 5 rows. Column 1 is labeled Statement with entries line segment N G is-congruent-to line segment J G, angle N and angle J are right angles, angle M G N is-congruent-to angle K G J, angle N is-congruent-to angle J, triangle M N G is-congruent-to triangle K J G. Column 2 is labeled reason with entries given, given, vertical angles are congruent, right angles are congruent, and question mark.
the reflexive property
ASA
AAS
the third angle theorem

Answers

Answer:

ASA

Step-by-step explanation:

Option B

Answer:

ASA (B)

Step-by-step explanation:

the edge

20 POINTS. PLZ HELP!!!!!
What is value of x?



Enter your answer in the box.

x=

Answers

Answer:

[tex]x=27[/tex]

Step-by-step explanation:

Notice that Angle A is being bisected.

Hence, we can use the Angle Bisector Theorem to write the following proportion:

[tex]\frac{x+8}{10}=\frac{2x-5}{14}[/tex]

Solve for x. Cross-multiply:

[tex]10(2x-5)=14(x+8)[/tex]

Distribute:

[tex]20x-50=14x+112[/tex]

Subtract 14x from both sides:

[tex]6x-50=112[/tex]

Add 50 to both sides:

[tex]6x=162[/tex]

Divide both sides by 6. Hence, the value of x is:

[tex]x=27[/tex]

The most Julius can afford to pay per year in mortgage payments is $11,500,
and his credit score is currently 463. According to the following table for a
$150,000 mortgage, by how many points would he need to improve his credit
score in order to take a mortgage for $150,000?

Answers

Answer:

212 points

Step-by-step explanation:

He can only afford $11500 per year so divide that by 12, gets you 958 so he’s in the 675-699 range subtract 675- his current credit score to get the number of points he will need.

which one is not a function

Answers

Answer: C

Step-by-step explanation:

C because one x values cant have two y values

pl help me to do it​

Answers

Answer:

Step-by-step explanation:

Assuming you want to find the value of n.

[tex]\sqrt{\frac{p}{q} } =(\frac{q}{p}) ^{1-2n} \\[/tex]

Remember when bases are same exponents can be made equal

Here the bases are different

because notice on one side there is p/q and on the other q/p

what can we do to make them same?

You can invert the any side you want either make leftside as q/p or make right one as p/q

I will make left side as q/p

All you do is flip the denominator and numerator to do so. But that can only be done if you put a (-1) in the exponent

so underroot p/q means (p/q)^1/2 when i make it q/p

a negative one needs to be put in the exponent. That -1 when multiplied by 1/2 makes it -1/2

Now the bases are same such like.

[tex](\frac{q}{p} )^{-1/2} = (\frac{q}{p}) ^{1-2n}[/tex]

See now the bases are same, the powers can be made equal

so

-1/2=1-2n

here n is the variable we need to find

rearrange the equation

n=3/4

Which angles are alternate interior angles?

Answers

Answer:

kjm and lmj

Step-by-step explanation:

Answer:

A) Angle KJM and Angle LMJ

Step-by-step explanation:

Alternate Interior Angles are Interior Angles lying in the opposite side of the transversal.

As JM is the transversal.

The Interior Angle in pair with Angle KJM is Angle LMJ

Molly and Cody are selling pies for a school fundraiser. Customers can buy apple pies and
pumpkin pies. Molly sold 1 apple pie and 13 pumpkin pies for a total of $160. Cody sold 14
apple pies and 7 pumpkin pies for a total of $140. What is the cost each of one apple pie and one
pumpkin pie?

Answers

Answer:

12 dollars and 6

Step-by-step explanation:

12 divided by 160 = 12

Area
What is the area for this shape??

Answers

20 times 10 is 200 divided by 2 is 100. so 100 cm squared

Answer:

100cm² is the area of this shape

Does anyone know how the app remind works? my math teacher told us to sign up for it, i did but idk how to use it.

Answers

Answer:

you can ask questions and answer questions the more questions you answer the higher your rank gets and the more points you earn

Step-by-step explanation:

On remind the teachers tell u like what u have to do for like homework , and you should ask ur teacher for like the class code to kinda make it easier if u get what I mean hope this helps .

HELP PLEASE. GIVEN AB, EXPLAIN HOW TO CONSTRUCT A SQUARE WITH SIDES OF LENGTH AB.​

Answers

Answer:

all sides = AB

Step-by-step explanation:

all sides of a square is equal so if one is AB then the rest is AB too

the person above me is correct

The prime factorization of
is 24 x 5

Answers

Answer:

5 x 24 = 120

120 pf= 2 x 2 x 2 x 3 x 5

or the answer is

2^3    x 3 x 5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

f(x)=-x^2+x+14
Find f(2)

Answers

The answer is 20

Step-by-step explanation:

-2^2=4

x=2

4+2+14

6+14

20

Franklin is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 10.1 ounces of almonds, and 25.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

(23+10.1+25.4)÷25

2.34

Using the following uniform density curve, answer the question.



What is the probability that the random variable has a value between 4.1 and 7.4?

0.5375

0.4125

0.2875

0.6625

Answers

Answer:

The answer is "0.4125"

Step-by-step explanation:

[tex]\to 7.4 -4.1= 3.3 (0.125)= 0.4125[/tex]

What is the slope of points (11,13) and (-8,-19)?

Answers

The answer is 32/9 , or 1.68.

Answer:

The answer is 32/19

Step-by-step explanation:

rise over run.

6630 was rounded to the nearest ten. What is the lower bound? this is urgent plz answer fast​

Answers

Answer: 6630

Step-by-step explanation:

When rounding to the nearest ten, like we did with 6630 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

To anybody who is really good at math can you click on the image and answer the 4 questions please and thanks!

Answers

Answer:

1) Wallmart

2)16 Oz

3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.

4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.

Step-by-step explanation:

You divide the price by size.

Exaple:

3.99/12

determine the intercepts of the line x intercept ...... y intercept ?​

Answers

Answer:

Step-by-step explanation:

x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40

y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15

Answer:

x-intercept: [tex](-40,0)[/tex]

y-intercept: [tex](0,15)[/tex]

Step-by-step explanation:

The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.

The line intersects the y-axis at [tex]15[/tex], so the y-intercept is [tex](0, 15)[/tex].

The line intersects the x-axis at [tex]-40[/tex], so the x-intercept is [tex](-40, 0)[/tex].

Hope this helps :)

what are the intercepts for 7x - 5 = 4y -6

Answers

Answer:

The x-intercept is -1/7 and the y-intercept is 1/4

Step-by-step explanation:

Hope this helps!!

Answer:

x-intercept(s): [tex](-\frac{1}{7} ,0)[/tex]

y-intercept(s): [tex](0,\frac{1}{4})[/tex]

Step-by-step explanation:

QUESTION OF THE DAY: At home, Trevor has a big box of chips. Inside the box there are 5 Cheetos bags, 3 Takis bags, 6 Lays bags, and 1 Ruffles bag. If Trevor chose a bag of chips at random, what would the probability of him selecting a Cheetos bag? *Write your answer as a fraction*

Answers

Answer:

3/5?

Step-by-step explanation:

Answer:

6/10?

Step-by-step explanation:

Which has a slope of -2?

Answers

Answer:

The answer would be line be because it goes down 2 and forward one.

13. A local car wash is open 8 hours each day.

It uses 2/3 of a container of wax for each car.
The car wash waxes an average of 8.5 cars per hour.
According to the given information, how many containers of wax does the car wash use in one day?

Answers

68 containers because 8.5 * 8 is 68

Find the distance between (8,3) and (0, -3).
The distance is:

Answers

Answer:

(8,3) = {4,5,6,7}

(0,3) = {1,2}

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Using the distance formula, you would get this answer.

Distance formula:  square root of (2−1)^2 + (2−1)^2

Simplify the expression. (−0.75x − 5) − (6.5x + 5.4)

Answers

Answer:

−7.25x−10.4

Step-by-step explanation:

Let's simplify step-by-step.

−0.75x−5−(6.5x+5.4)

Distribute the Negative Sign:

=−0.75x−5+−1(6.5x+5.4)

=−0.75x+−5+−1(6.5x)+(−1)(5.4)

=−0.75x+−5+−6.5x+−5.4

Combine Like Terms:

=−0.75x+−5+−6.5x+−5.4

=(−0.75x+−6.5x)+(−5+−5.4)

=−7.25x+−10.4

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