If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.

Answers

Answer 1

Given :

m1 = ( 7x - 19 )° .

m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle m1 and m2 is not given .

Let , us assume that sum of m1 and m2 is 180° .

So ,

[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]

Angle m2 = (24.25  + 5 )° = 29.25° .

Therefore , m2 = 29.25° .

Hence , this is the required solution .

Answer 2

Answer:

Given :

∠m1 = ( 7x - 19 )° .

∠m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle ∠m1 and ∠m2 is not given .

Let , us assume that sum of ∠m1 and ∠m2 is 180° .

So ,

Angle ∠m2 = (24.25  + 5 )° = 29.25° .

Therefore , ∠m2 = 29.25° .

Hence , this is the required solution .

Step-by-step explanation:


Related Questions

May you please answer question #9

Answers

Answer: Approximately 0.78388 seconds

==========================================

Explanation:

Plug in t = 0 to find that

h = -16t^2 - 64t + 60

h = -16(0)^2 - 64(0) + 60

h = 60

The starting height is 60 feet.

-----

Now plug in h = 0 and solve for t.

h = -16t^2 - 64t + 60

0 = -16t^2 - 64t + 60

-16t^2 - 64t + 60 = 0

From here use the quadratic formula

[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-64)\pm\sqrt{(-64)^2-4(-16)(60)}}{2(-16)}\\\\t = \frac{64\pm\sqrt{7936}}{-32}\\\\t = \frac{64+\sqrt{7936}}{-32} \ \text{ or } \ t = \frac{64-\sqrt{7936}}{-32}\\\\t \approx -4.78388 \ \text{ or } \ t \approx 0.78388 \\\\[/tex]

We ignore the negative t value as a negative time doesn't make sense.

The only practical answer is roughly t = 0.78388 seconds.

solve it............

Answers

Answer:

7

Step-by-step explanation:

1) for '8'; '3'; and '10':

8/2+3+3=10

2) for '2'; '5' and '11':

2/1+5+5=11

3) for '6'; '2' and '?':

6/2+2+2=7

15 – 2x=3x

the solution is x =​

Answers

Answer:

x=3

Step-by-step explanation:

15 – 2x=3x

Add 2x to each side

15 – 2x+2x=3x+2x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

3

Step-by-step explanation:

15 - 2x = 3x

Add 2x to both sides

15 = 5x

Divide 5 to both sides

3 = x

Best of Luck!

Como se ecribe 8 de 10
en decimale​

Answers

8/10 es 0.8 en decimale :)

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Answers

Answer:

$127,618,279.99

Step-by-step explanation:

Adjusted for inflation, $163,882,660.00 in 1993 is equal to $127,618,279.99 in 1987.

Annual inflation over this period was 4.26%.

BRAINLIEST PLEASE HELP Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).

Answers

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5= 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

The area of a square garden is A= 121ft2 how long is each side of the garden?

Answers

it would be about 3.5 but it’s not exact. the exact measurement would be 3.49285 hope this helped!

Answer:

11ft.

Step-by-step explanation:

121 is the square root of 11, but that's not important. basically, you just find out what multiplies to be 121, since it's just side * side. long division can help if you're not allowed to use a calculator. I hope I was at least somewhat helpful. I feel like this wasn't the best explanation out there.

I need help please helpp

Answers

Answer:

I believe it's B.Let me know if it's right,if it not,i'm so sorry

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The other statements incorrectly describe the transformations.  C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.

write 24.23 as a mixed number in simplest form

Answers

24.23 =

24 23/100

It doesn't simply because 23 is a prime number.

Answer:

24 23/100

Step-by-step explanation:

Which of the following math statements contains variables check all that apply A.3+6=x B.3+6=9 C. X+___=9 D.3+__=9
Answers
B.
D.

Answers

It is b because b is the most logical answer

Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.

Answers

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

  (iii),(iv),(v)-False

B(i),(ii),(iii) -True

  (iv),(v)-False

C   (i),(ii) -False

     (iii),(iv),(v)-True

D  (i),(ii),(iii) -False

    (iv),(v)-True

Answer:

The  correct option is  C

Step-by-step explanation:

    i is false because several lines can pass through a single point

    ii is false because only one line can pass through two distinct points

    iii is true because you can extend a line from both points (start and  end points )

      iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

       v is true because from Euclid's First Axiom , if a=  c and c =  d  the  a =  d

     

     

Need help please ASAP ! The options for the first blank is A.close B.open price C.volume the options for second blank is A.day B.month

Answers

Hhhhhhhhhhhhhhhhhhhhhhhhh

Find the straight time pay if you earn $7.90 per hour and worked 37 hours.

Answers

Answer: $292.30

Step-by-step explanation:

If a person drives his car in the speed 50 miles per hour, how far can he cover the distance in 2.5 hours ?

Answers

Answer:

Hey there!

50 miles = 1 hour

x miles = 2.5 hours

50/1= x/2.5

x=2.5x50

x=125

The car can go 125 miles.

Hope this helps :)

Answer:

125miles

Step-by-step explanation

distance=speed *time

d=50*2.5

d=125m

Use the slope formula to find the missing coordinate.
m= 3, P(3, 2) and Q(8,_)
O-1
1
05

Answers

Let the missing value = x

Slope is the change in y over the change in x:

3 = (x-2)/ (8-3)

3 = (x-2) / 5

Multiply both sides by 5:

15 = x-2

Add 2 to both sides:

X = 17

The missing coordinate is 17

The bill at a restaurant was $52.45. You want to leave an 18% tip. What is the
dollar amount of the tip that you will leave? (Enter your answer in the from x.xx or
$x.xx)

Answers

Answer:

$9.44

Step-by-step explanation:

51.45 x 0.18 = $9.44

Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?

Answers

Explanation: 216 quarters/8 quarters per bottle = 27

State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?

Answers

Answer:

Step-by-step explanation:

C

The lines are have one solution and are consistent and Independent.

What is Consistent and Inconsistent?

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]

Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]

Then, the lines are have one solution and are consistent and Independent.

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1 point
If one person can stand on a 4 square feet floor area, how many persons
can stand on 64 square foot floor area? Which proportion accurately solves
this problem? *

A) 1/4= X/64
B) 1/4= 64/x
C)1/64= 4/x
D)4/64= x/1

Answers

The answer is A 1/4=X/64

Answer:

A) 1/4=X/64

Step-by-step explanation:

It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.

Hope that helps!

Select all that apply.

Which of the following are linear factors of p(x) = x 3 - 2x 2 - 5x + 6 ?

x + 1
x + 2
x - 1
x - 3

Answers

X+1
I hope that right

Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
Next
Submit
Mark this and return

Answers

Answer: C D B

Step-by-step explanation:

JUST TOOK THE TEST ON ENDEGENUITYYYYY

The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

What are ratios?

Ratios are fractional values representing relations between two quantities.

What are proportions?

When two ratios are equal, they are said to be in proportion.

What is a scale factor?

The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.

How to solve the given question?

In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.

We analyze each statement:

Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.

∴ The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

Learn more about Proportions at

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midpoint of (5, 8) (-1, -4)

Answers

Answer:

(2,2)

Step-by-step explanation:

mid point formula: x1+x2/2      y1+y2/2

5+(-1)=4/2=2

8+(-4)=4/2=2

(2,2)

Which of the following is equivalent to 15.45 + ( − 98.25 ) 15.45+(-98.25)

Answers

Answer:

-82.8

Step-by-step explanation:

15.45 + ( − 98.25)

15.45 - 98.25

= -82.8

Since the two terms are of opposite signs, you have to subtract and use the sign of the greater term (positive or negative)

A new computer is on sale for 1/5
off the original price. If the original price of the computer is $1495, what is the
sale price?
$1794
$1196
$1288
$299

Answers

Answer: $299

Step-by-step explanation:

divide the original price by 5

Sale price of the computer is equals to $299.

What is sale price?

" Sale price is defined as the discounted price at which goods are sold."

According to the question,

Original price of the computer = $1495

Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer

Substitute the value to get the sale price of a computer we get,

Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]

                                          = $299

Hence, sale price of the computer is equals to $299.

Learn more about sale price here

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Look at the photo HELPPPP I NEED IT RNN!!!

Answers

Answer:

-150

Step-by-step explanation:

Find 5.5x when x=7.5

Answers

Answer:

41.25

Step-by-step explanation:

if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5

=41.25

Answer:

41.25

Step-by-step explanation:

5.5(7.5) Stubstitue the varuable for the value

41.25 Multiply

Markel said he has 4 times
as many yellow cars as
blue cars. What is the ratio
for blue cars to yellow
cars?

Answers

Answer:

4:1

Step-by-step explanation:

Find all excluded values for the expression. That is, find all values of x for which the expression is undefined.

x+6/x² - 6x-27

Answers

Answer:

The values of x for the expression is undefined is -3 or 9

Step-by-step explanation:

Given function,

[tex]f(x) = \frac{X +\ 6}{X^2 - 6X-27}[/tex]

The values of x for which the expression is undefined is obtained when the denominator is equal to zero, from the expression it is given by;

x² - 6x - 27 = 0

Factorize the equation

x² + 3x - 9x - 27 = 0

x (x + 3) -9(x + 3) = 0

(x + 3)(x - 9) = 0

x = -3   or  x = 9

Therefore, the values of x for the expression is undefined is -3 or 9

100 POINTS!!! ASAP-- Pls show work too TY

Answers

Answer:

I will help you but is there any picture that can help me answer the question?

Answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

Step-by-step explanation:

So we know that Θ is acute and that:

[tex]\cos(\theta)=6/7[/tex]

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We know that cosine is 6/7. Substitute:

[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]

Square:

[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]

Subtract:

[tex]\sin^2(\theta)=\frac{13}{49}[/tex]

Take the square root of both sides:

[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]

Simplify:

[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

and we're done!

Question 4: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.

76 61 74 62 73 63 73 64 72 64
72 65 72 66 71 66 71 67 70 67
70 68 69 68 68

Determine the (approx) value of the 53rd percentile Round answer to nearest integer:

Answers

Answer:

69

Step-by-step explanation:

Since there are 25 values, then n=25.

Now, calculate the index: 

i=p/100n=53/100⋅25=53/4.

Since the index i is not an integer, round up: i=14

The percentile is at the position i=14. So, the percentile is 69.

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