Find X using the Angle Sum Theorem

Find X Using The Angle Sum Theorem

Answers

Answer 1
Answer: x = 125 degree

Explanation:

In a triangle the sum of their angles is 180 degree

Find x:

25 + 30 + x = 180
55 + x = 180
x = 180 - 55
x = 125
Answer 2

Answer:

Step-by-step explanation:

x + 30 + 25 = 180

x + 55 = 180

x = 125

y + 125 = 180

y = 55


Related Questions

This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games:

3n+7/n


What is the average cost per game if James bowls 4 games?

Answers

Answer:

13.75 dollars

Step-by-step explanation:

n=4

3n+7/n =3(4) + 7/4

=12 + 1.75

=$13.75

Answer: A) 4.75

Step-by-step explanation:

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

Children = 150

Students = 98

Adults = 75

Step-by-step explanation:

C + S + A = 323

5C + 7S + 12A = 2336

A = 1/2C

C = 150

S = 98

A = 75

Find the value of the test statistic to test for a difference in the areas. Round your answer to two decimal places, if necessary.

Answers

Answer:

hello your question has some missing parts attached below is a picture of the complete question

Answer : 3.59

Step-by-step explanation:

Calculating the standard deviation, mean and standard error of the hourly wages

Area 1 : mean = 12.75 , std = 4.9497 , std error = 1.75

Area 2 : mean = 18.25, std = 4.3671,  std error = 1.54399

Area 3 : mean = 16.25, std = 2.8660, std error = 1.01330

mean = sum of terms / number of terms

std = [tex]\sqrt{}[/tex] (X − μ)2 / n

std error = std / [tex]\sqrt{n}[/tex]

The value of the test statistic to test for a difference in the areas is

3.59 ( using anova table attached below )

what are the steps required to determine the equation of a quadratic function given its zeros and a point?​

Answers

Answer:

Below

Step-by-step explanation:

The quadratic equations form is:

● ax^2+bx+c

Using the zeroes, we can write a factored form.

● a (x-x') (x-x")

x and x' are the zeroes

■■■■■■■■■■■■■■■■■■■■■■■■■■

●y = a (x-x') (x-x")

x' and x" are khown but a is not.

We are given a point so replace x and y with its coordinates to find a.

So the steps are:

● 1) Write the factored form of the quadratic equation

● 2) replace x' and x" with their values.

● 3) replace x and y with the coordinates of a khwon point.

● 4) solve the equation for a.

The steps are write the factored form of the quadratic equation then, replace x' and x" with their values. To replace x and y with the coordinates of a known point. To solve the equation for a.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Using the zeroes, we can write a factored form;

a (x-x') (x-x")

x and x' are the zeroes

y = a (x-x') (x-x")

x' and x" are known but a is not.

We are given a point so replace x and y with their coordinates to find a.

So the steps are:

1) Write the factored form of the quadratic equation

2) To replace x' and x" with their values.

3) To replace x and y with the coordinates of a known point.

4) To solve the equation for a.

Learn more about quadratic equations;

brainly.com/question/13197897

#SPJ2

In the diagram, XY bisects ZWXZ.
Z
Y
2
w
(5x + 3)
(7X - 70°
Х
x=
type your answer...

Answers

Answer:

x = 5

Step-by-step explanation:

Angle Bisector Theorem: When a ray bisects an angle, we get 2 congruent smaller angles

Step 1: Set equation equal to each other (Angle Bisector Theorem)

5x + 3 = 7x - 7

Step 2: Subtract 5x on both sides

3 = 2x - 7

Step 3: Isolate x term (Add 7 to both sides)

10 = 2x

Step 4: Isolate x (Divide both sides by 2)

x = 5

as
8
3) The volume of
a wall, 5 times
high as it is board and 8
times as long as it is high, 12.8
(a.metors) Find The Breadth of the
Wall​

Answers

Answer:

  0.4 meters

Step-by-step explanation:

The volume is ...

  V = LHB

  12.8 m³ = (8(5B))(5B)(B) = 200B³ . . . fill in given values

  0.064 m³ = B³ . . . . . simplify

  ∛0.064 m = B = 0.4 m

The breadth of the wall is 0.4 meters.

Restate the number 4,587,902.453.

Expanded form:

Written form:​

Answers

Answer:

Expanded form: 4,000,000 + 500,000 + 80,000 + 7,000 + 900 + 2 + 0.4 + 0.05 + 0.003

Word form: Four million, five hundred eighty-seven thousand, nine hundred two and four hundred fifty-three thousandths.

Please answer this correctly without making mistakes

Answers

Answer:

1,377/2 and 688 1/17

Step-by-step explanation:

A gift box shown below is packed with small cubic 1/2 inch blocks. The blocks are packed tightly with no spaces between them.
A. How many blocks are in the gift box?
B. What is the volume of the gift box?
C. Find how much wrapping paper will be needed to wrap the gift box (hint: find surface area).

Answers

Step-by-step explanation:

the box is

9 in × 3.5 in × 4.5 in = 141.75 in³

each block is

0.5 in × 0.5 in × 0.5 in = 0.125 in³ (1/8 in³)

so, we can fit

141.75 / 0.125 = 1134

blocks into the box.

and they fit neatly, as the dimensions of the box and the cubes allow a tight packing without any empty left over space in the box.

Ava started her hw at 7:20pm she finished it at 8:05 pm how long did she take to her hw?

Answers

Answer:

45 mins

Step-by-step explanation:


What is the expression

Answers

Answer:

3

Step-by-step explanation:

z - 2x

--------

y

Let x = 3  y = -4 and z  =-6

-6 - 2(3)

--------

-4

-6 -6

---------

-4

-12

-----

-4

3

Answer:

3

Step-by-step explanation:

To solve this, we need to plug in each of the numbers to the equation.

x = 3, y = - 4, z = - 6

[tex]\frac{z-2x}{y} = \frac{-6-2(3)}{-4}[/tex]

Let's solve the parenthesis first. - 2 * 3 = - 6.

[tex]\frac{-6-6}{-4}[/tex]

We then subtract -6 - 6.

[tex]\frac{-12}{-4}[/tex]

Then, we divide (cancel out the negatives).

[tex]-12 / -4 =3[/tex]

Our final answer is 3. Hope this helps!

Which of the following inequalities matches the graph?
10
6
-10
Oxs-1
Ox>-1
Oys-1
Oy 2-1

Answers

Answer:

y > -1

Step-by-step explanation:

the line is going across the y axis and is everything above -1

PLEASE HELP ! (4/4) - 50 POINTS -

Answers

Answer:

The correct answer, again, is A; Z = -0.6

Answer:

im pretty sure its A; Z = -0.6 sorry if im wrong

Step-by-step explanation:

PLS HELP ASAP Solve the inequality and enter your solution as an inequality in the box below 8>4-x>6

Answers

Answer:

−4<x<−2

Step-by-step explanation:

8 > 4 − x > 6

8 > −x + 4 > 6

8 + −4 > −x + 4 + −4 > 6 + −4

4 > −x > 2

Since x is negative we need to divide everything by -1 which gives us...

−4 < x < −2

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained. Construct 95% confidence interval for the difference of the two proportion. Round your answer to nearest ten-thousandth. Interpret the result.

Answers

Complete Question

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained.

Men. 43 patients had high blood pressure

Woman. 52 patients had high blood pressure.

Answer:

The  95% confidence interval is  

      [tex]- 0.1651 < p_m - p_f <0.0451[/tex]

This mean that there is a 95 % confidence that the difference between the true proportions of male and  female that are hypertensive  is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive        

Step-by-step explanation:

From the question we are told that

    The  sample size for male is  [tex]n_1 = 150[/tex]

    The  number of male that are hypertensive is  [tex]m = 42[/tex]

    The  sample size of female is  [tex]n_2 = 150[/tex]

     The  number of female that are hypertensive is [tex]q = 52[/tex]

The proportion of male that are hypertensive is mathematically represented as

         [tex]\r p_m = \frac{43}{150}[/tex]

         [tex]\r p_m = 0.287[/tex]          

The proportion of female that are hypertensive is mathematically represented as

       [tex]p_f = \frac{52}{150}[/tex]

      [tex]p_f = 0.347[/tex]

From the question we are told that confidence level is 95%, hence the level of significance is mathematically represented as

       [tex]\alpha = 100 -95[/tex]

      [tex]\alpha =5\%[/tex]

     [tex]\alpha =0.05[/tex]

Next we obtain the critical value of  [tex]\frac{ \alpha }{2}[/tex] from  the normal distribution table, the value is  

           [tex]Z_{\frac{ \alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

          [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p_m (1- \r p_m )}{n_1} + \frac{ \r p_f (1- \r p_f )}{n_2} }[/tex]

substituting value

         [tex]E = 1.96 * \sqrt{\frac{ 0.287 (1- 0.287 )}{150} + \frac{ 0.347 (1- 0.347 )}{150} }[/tex]

         [tex]E = 0.1051[/tex]

The  95% confidence interval is mathematically represented as  

           [tex](\r p_m - \r p_f ) - E < p_m - p_f < (\r p_m - \r p_f ) + E[/tex]

substituting values

          [tex]( 0.287 - 0.347 ) - 0.1051 < p_m - p_f <( 0.287 - 0.347 ) + 0.1051[/tex]    

           [tex]- 0.1651 < p_m - p_f <0.0451[/tex]

This mean that there is a 95 % confidence that the difference between the true proportion is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive.

you pick a card at random from an ordinary deck of 52 cards. If the card is an ace, you get 9 points; if not, you lose a point​

Answers

Answer: a = 9, b = 48, c = -1

Step-by-step explanation:

"a" represents the points you receive if an Ace is picked.  It is given that you get 9 points ----> a = 9

"b" represents the number of cards that are Not an Ace.  4 cards in the deck are Aces so 52 - 4 = 48 cards are Not an Ace -----> b = 48

"c" represents the points you receive if Not an Ace is picked.  It is given that you lose 1 point ----> c = -1

Answer:

Here is the rest of the page

Step-by-step explanation:

Click on the picture for the answer

Answers

Answer:

the answer is 1/14

hope this helps you

9514 1404 393

Answer:

  (a)  1/14

Step-by-step explanation:

Fractions are multiplied by multiplying numerators and denominators. They are reduced by cancelling common factors. When a product has an even number of minus signs, it is positive.

  [tex]\left(-\dfrac{3}{7}\right)\cdot\left(-\dfrac{1}{6}\right)=\dfrac{(-3)(-1)}{7\cdot6}=\dfrac{3}{7\cdot2\cdot3}=\dfrac{1}{7\cdot2}=\boxed{\dfrac{1}{14}}[/tex]

A square has a side length of 520
meters. What is the perimeter of
the square in kilometers?

Answers

Answer: 2.08 km

Step-by-step explanation:

Side of Square = 520 m

Perimeter of Square = Side × 4

                                  = 520 × 4

                                  = 2080 m

1000 m = 1km

2080 m = 2080 ÷ 1000

              = 2.08 km

Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts of the expression in terms of the given context.

The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8.

The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.

Part A
What is the constant term in the polynomial expression, and what does it represent?

Answers

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

Log 1/10 how do you convert this without a calculator

Answers

Answer:

  log(1/10) = -1

Step-by-step explanation:

Use the law of exponents and the meaning of logarithm.

  1/10 = 10^-1

  log(10^x) = x

So, you have ...

  log(1/10) = log(10^-1)

  log(1/10) = -1

I need help with this please

Answers

Answer:

26. 35

27. 65

28. 13

Step-by-step explanation:

26. The big angle POR is given as 59 and the smaller angle inside it (POQ) is given as 24. Since the angles POQ and QOR add up to the angle POR,

QOR = POR - POQ    |     59-24 = 35

27. We are given the angles of all the smaller angles in the large angle POS. POQ, QOR and ROS are 19, 31 and 15 respectively. Since all of them add up to create the angle POS, POS = 19+31+15 = 65

28. We can use the second and third given angles (POR and POQ) to find the QOR which we can then use to find ROS. This first step is very similar to 26. We are given POR as 61 and POQ as 28, therefore QOR = 61-28 = 33

Since we now know QOR and QOS, we can repeat the process and deduct that because the two smaller angles add up to the bigger one (QOS), we can find ROS by subtracting QOR (from above) from the given QOS (46):

46 - 33 = 13

Hope this helped!

graph the linear equation using the slope and y-intercept y=1/9x+5

Answers

Answer:

Slope= 1/9

Y-Intercept= 5

-3x=6x + 2 solve for x

Answers

Answer:

Step-by-step explanation:

6x+3x= -2

9x= -2

x= -2/9

Answer:

-3x=6x+2

⇒-9x=2

⇒x=-2/9

Step-by-step explanation:

A scatter plot is shown below.. PLEASE HELPPP!!

Answers

Answer:

(0,9.8) and (10, 1.2)

Step-by-step explanation:

These are the only points that are the best fit for the garph correlation.

Answer:

(0, 9.8) and (10, 1.2)

Step-by-step explanation:

:) hope this helped

please help! algebra 2 work

Answers

Well, there are several possible answers.

One such answer is y=-2.1x, which when plugging in the corresponding values will give -8.4 for y.

Another one is y=x-12.4. It really depends on other values

Translate the statements into a confidence interval for p. Approximate the level of confidence. In a survey of 8451 U.S. adults, 31.4% said they were taking vitamin E as a supplement. The survey's margin of error is plus or minus 1%.

Answers

Answer:

The  confidence interval is  [tex]0.304 < p < 0.324[/tex]

Step-by-step explanation:

From the question we are told

      The sample proportion [tex]\r p = 0.314[/tex]

      The margin of error  is [tex]E = 0.01[/tex]

The confidence interval for  p is mathematically represented as

       [tex]\r p - E < p < \r p + E[/tex]

=>    [tex]0.314 - 0.01 < p < 0.314 + 0.01[/tex]

=>   [tex]0.304 < p < 0.324[/tex]

Here is a number sequence. The rule for finding the next term is to add
a, where a is an integer. ! ! 8 ........! ! ........! ! 29 Work out the two
missing terms.

Answers

Answer:

8,15,22,29

Step-by-step explanation:

the interger a is 7,so to find the next term you have to add 7 plus the 8,

8+7=15

15+7=22

22+7=29

8,15,22,29

I hope this helps

Complete the table using the equation w = m + 4

Answers

Answer:

5+4 = 9

6+4 = 10

7+4 =11

Step-by-step explanation:

Answer:

(5,9)

(6,10)

(7,11)

Step-by-step explanation:

w = m + 4

when m = 5,

w = 5 + 4 = 9

when m = 6

w = 6 + 4 = 10

when m = 7

w = 7 + 4 = 11

Solve x2 + 9x + 8 = 0 by completing the square. What are the solutions?
O (1.-8)
O (1.8)
O (-1-8)​

Answers

Answer: (-1,-8)

Explanation:

x^2 + 9x + 8 = 0
x^2 + 9x = -8

Add (9/2)^2 to both sides

x^2 + 9x + (9/2)^2 = -8 + (9/2)^2
(x + 9/2)^2 = -8 + 81/4
(x + 9/2)^2 = -32/4 + 81/4
(x + 9/2)^2 = 49/4

Square root both sides

Sqrt (x + 9/2)^2 = sqrt 49/4
x + 9/2 = plus or minus 7/2

Set x + 9/2 = 7/2:

x + 9/2 = 7/2
x = 7/2 - 9/2
x = -2/2 = -1

Set x + 9/2 = -7/2:
x + 9/2 = -7/2
x = -7/2 - 9/2
x = -16/2 = -8

What is the value of s?​

Answers

Answer:

s = 8

Step-by-step explanation:

2s = s + 8

2s - s = 8

s = 8

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