work out the size of angles x, y and z.

Work Out The Size Of Angles X, Y And Z.

Answers

Answer 1

Answer:

x = 41° , y = z = 74°

Step-by-step explanation:

x and 41 are alternate angles and are congruent , then

x = 41°

the 2 sides of the triangle with vertex = 32° are congruent so the triangle is isosceles with base angles being congruent , then

y = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

y and z are vertically opposite angles and are congruent so

z = 74°


Related Questions

Please help pre Algebra question

Answers

Answer:

4=No

-3=No

2=Yes

0=No

Step-by-step explanation:

enter enter all the factors into the equation and see which one equals -28 on both sides at the end.

if negative y = 0, what would positive y be?

Answers

Answer:

positive y would be also 0

Step-by-step explanation:

y = 0

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean. The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean. Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds). Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (Note: the standard deviation of the long jumps was 30 cm). Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.

Answers

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = [tex]\frac{x-\mu}{\sigma}[/tex]

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = [tex]\frac{129-137}{5}[/tex]

z-score = [tex]-1.6[/tex] (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = [tex]\frac{660-600}{30}[/tex]

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

A stadium has 45,000 seats. Seats sell for ​$30 in Section​ A, ​$24 in Section​ B, and ​$18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1,168,200 from each​ sold-out event. How many seats does section​ A hold?

Answers

Answer:

should be 90 seats each section hope that helped

Which of the following is equivalent to 5x + 7 = 6y?
А
5z+6 = 7
B
5z+6y = -7
C
5X- 6y =7
D
5x - y = -7

Answers

Answer:

c

Step-by-step explanation:


how do you write this in slope intercept form i don’t know

Answers

Answer:   y = [tex]-\frac{2}{1.5}[/tex]x + 15

Step-by-step explanation:

Slope intercept form is written as y = mx + b, where m is the slope and b is the y- intercept.

2.00x + 1.50y = 15

             1.50y = -2.00x + 15

                    y = [tex]\frac{-2}{1.5}[/tex]x + 15  

This graph shows the number of tickets for a new movie sold at a theater
during the first 8 weeks of the movie's release.
The company determined that the equation y = 7,500 - 850x modele
data fairly well. What is the meaning of the slope of the linear model?
Ticket Sales
(A)
the number of tickets sold each week
(B) the weekly change in the number of tickets sold
.
Tickets Sold
8,000
7,000
6,000
5,000
4,000
23,000
2,000
1,000
©
the smallest number of tickets sold in a week
0
the number of tickets sold on the first day the movie was
released
1 2 3 4 5 6 7 8
Week

Answers

Using linear function concepts, it is found that the meaning of the slope is given by:

(B) the weekly change in the number of tickets sold.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

From this, we have that the slope represents a rate of change, hence, option B is correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124

determine the y- intercept of 3x+2y=9

Answers

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Answer:

[tex]\boxed{(0 , 4.5)}[/tex]

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5

Solve 2y−18x=−26 for y.

Answers

divide by two on both sides. y=-13+9x
Answer:
y=-13+9x

Explanation:
Please see the picture attached!
I hope this helps! Please comment if you have any questions.

On the number line, which two numbers are a distance.20 away from the number 5

Answers

Answer:

4.8 and 5.2

Step-by-step explanation:

5+.2=5.2   5-.2=4.8

Hopes this helps!

For me i got the awnser -15 and 25

Examine this multiplication problem. 3 2 5 × 1 2 Which are equal to the product? Check all that apply.

Answers

Answer:

17/10, 1 and 7/10

Step-by-step explanation:

PLS HELP I WILL AWARD BRAINLY

If f(x)=1−x² and g(x)=x²−1, then for which of the following values of b does
f(3b)+8=g(3b)−8?

A) 1
B)√8
C) 8
D) √3
E) 0

Answers

Answer:

A

Step-by-step explanation:

We have the two functions: [tex]f(x)=1-x^2[/tex] and [tex]g(x)=x^2-1[/tex].

And we want to find the value of b such that [tex]f(3b)+8=g(3b)-8[/tex] is true.

Notice that we can multiply f(x) by -1. This yields:

[tex]-f(x)=x^2-1[/tex]

Notice that this is the same as g(x). Therefore:

[tex]-f(x)=g(x)[/tex]

If we substitute 3b for x:

[tex]-f(3b)=g(3b)[/tex]

So, we can go back to our equation. We have:

[tex]f(3b)+8=g(3b)-8[/tex]

Substitute -f(3b) for g(3b):

[tex]f(3b)+8=-f(3b)-8[/tex]

Solve. Subtract 8 from both sides and add f(3b) to both sides:

[tex]2f(3b)=-16[/tex]

Divide both sides by 2:

[tex]f(3b)=-8[/tex]

Now, we can use the function of f(x). Substitute 3b into f(x). So:

[tex]1-(3b)^2=-8[/tex]

Subtract 1 from both sides:

[tex]-(3b)^2=-9[/tex]

Divide both sides by -1:

[tex](3b)^2=9[/tex]

Take the square root of both sides:

[tex]3b=\pm 3[/tex]

Divide both sides by 3. So, the value of b can be:

[tex]b=-1, 1[/tex]

Therefore, our answer is A.

And we're done!

Answer:

A.1

Step-by-step explanation:

f(x) = 1 - x² ⇒ f(3b) = 1 - (3b)² = 1 - 9b²

g(x) = x² - 1 ⇒ g(3b) = (3b)² - 1 = 9b² - 1

f(3b) + 8 = g(3b) - 8 ⇒ (1 - 9b²) + 8 = (9b² - 1) - 8

⇔ 9 - 9b² = 9b² - 9

⇔ 9 + 9 = 9b² + 9b²

⇔ 18 = 18b²

⇔ b² = 1

⇒ b = 1; - 1

PLEASE HELP PLEASE HELP

Answers

Answer:

x = 80

Step-by-step explanation:

the total of interior angles in a quadrilateral (any shape with only 4 sides) is 360

add the angles you're given

105 + 100 + 75 = 280

subtract that number from the total interior angles (360)

360 - 280 = 80

therefore, x = 80

hope this helps! have a lovely day!!

Find the difference: 3 4/6 - 1/6

Answers

Answer:

7/2  but as a mixed number 3 1/2

Step-by-step explanation:

Answer:

3 1/2 or 3 3/6

Step-by-step explanation:

PLEASE HELPPPPP ASAPPPPP

Answers

Try this and if it doesn't help you I will give you the answer straight to you

The formulas for calculating changes in the money supply are as follows. Firstly, Money Multiplier = 1 / Reserve Ratio. Finally, to calculate the maximum change in the money supply, use the formula Change in Money Supply = Change in Reserves * Money Multiplier.

What is 24 times 2 equal to?

Answers

Answer:

The answer is 48 :)


If 10 is decreased to 5, the decrease is what percent of the original number?

Answers

Answer:

50

Step-by-step explanation: love uuuuuu

here is a list 31 29 33 37 43 38 33 40 find the mode in number of list and work out on mean

Answers

Answer: Mode = 33, Mean = 35.5

Step-by-step explanation: The mode is whatever number appears the most.

To find the mode, first put the numbers in order from least to greatest.

29, 31, 33, 33, 37, 38, 40, 43

In this case, 33 appears the most, so the mode is 33.

The mean is the average of all of the numbers.

Firstly, add up all of the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.

284/8 = 35.5

Your mean is 35.5

Answer:

Mode = 33

Mean = 35.5

The mode is whatever number appears the most.

to find the mean:

add all the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

divide that by the number of numbers you have in the list.

284/8 = 35.5

mean = 35.5

need more points ??? solve this .....only first part for 50 points .....and follow me also!​

Answers

Answer:

see below

Step-by-step explanation:

i.

= √(3 + 4i)

= 2 + i

ii.

= √(-8 + 6i)

= √2(-4 + 3i)

iii.

= √(-40 - 42i)

= √-2(20 + 21i)

iv.

= √i

= √i

v.

= [tex]\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }[/tex]

= [tex]\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }[/tex]

Answer:

ok iam follow

Step-by-step explanation:

Mark as brainleist answer

Will give brainliest to first answer !! What is 2 to the power of 44 multiplied by 84

Answers

2 to the power of 44 multiplied by 84 equals
1477743627730944

Find the quotient: 60 ÷ 30 =

Answers

Answer:

2!!!!!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

do 6/3 easy as pie! (not pi)

express as a single logarithm 3 loga (2x+1) - 2 loga (2x-1) +2

Answers

Answer:

Step-by-step explanation:

[tex]3 \log_{a} (2x+1)=\log_{a}(2x+1)^{3}[/tex]

[tex]2 \log_{a}(2x-1)=\log_{a}(2x-1)^{2}[/tex]

[tex]2=\log_{a}(a^{2})[/tex]

So the expression can be expressed as a single logarithm as follows:

[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}(2x+1)^{3}-\log_{a}(2x-1)^{2}+\log_{a}a^{2}[/tex]

[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}\left(\frac{(2x+1)^{3}a^{2}}{(2x-1)^{2}}\right)[/tex]

Susie has a bag with 10 hair pins, 6 pencils, 3 snacks, and 4 books. What is the ratio of books to pencils? (This question made my teacher heart sad)
Question 1 options:


A.64



B.46



C.106



D.410

Answers

Answer:

B. 4/6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLEASE ANSWER BUT TAKE YOUR TIME.

Write an equation for a polynomial with all the following features:


a. The degree is 5.


b. The polynomial has 4 terms.


c. The graph of the polynomial crosses the vertical axis at Y = 12 .


Identify the approximate input values of any relative maximums and minimums of this 5th degree polynomial.

Answers

Answer:

Step-by-step explanation:

(x-1)^5 = x^5 - 5x^4 + 15x^3 - 15x^2 + 5x - 1

That has 6 terms, so let's get rid of the two middle ones.

f(x) = (x-1)^5 - 15x^2(x-1)

Now, f(0) = 1, but we want f(0) = 12

So, let

f(x) = 12((x-1)^5 - 15x^2(x-1)) = 12x^5 - 60x^4 + 60x - 12

As for the graph, it looks like

y = (x+4)(x+2)(x-1)^2(x-6)

The extrema appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial is 5.

The polynomial has 4 terms

So (x-1)⁵ = x⁵ - 5x⁴ + 15x³ - 15x² + 5x - 1

Let's eliminate the two middle terms from it, which has six.

f(x) = (x-1)⁵ - 15x²(x-1)

Given that the graph of the polynomial crosses the vertical axis at Y = 12

So, substitute f(0) = 1, but we determine f(0) = 12

So, let f(x) = 12((x-1)⁵ - 15x²(x-1)) = 12x⁵ - 60x⁴ + 60x - 12

As for the graph, it looks like

So the approximate input values of relative maximums and minimums of this 5th-degree polynomial :

y = (x+4)(x+2)(x-1)²(x-6)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

Which equation represents this sentence?
Four times the sum of a number x and a number y is equal to 20.
4xy = 20
4x + y = 20
O 4(x + y) = 20
4 + x + y = 20

Answers

Answer:

4(x+y)=20

Step-by-step explanation:

radius of a cylideical water tank is 5ft, and it's height is 9ft. What is the exact volume of the tank in terms of π

Answers

Answer:

225 pi

Step-by-step explanation:

Take note.

V= volume

r = radius

h = height

Formula for Volume of Cylinder

[tex]V=\pi r^{2}h[/tex]

[tex]V=\pi* 5^{2}*9[/tex]

[tex]V=706.85835[/tex]

Now in terms of pi.

[tex]\frac{706.85835}{\pi } =225[/tex]

225 pi

What is the value of p in this proportion?

5/6 2/3
----- = ------
P 1/2

Enter your answer as a simplified
fraction.

p=

Answers

If the formatting should be [tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex], then this should be correct.

Answer:

p = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex]                 [Given]

[tex]\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex]            [Keep, change, and flip on the left side]

[tex]\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}[/tex]       [Keep, change, and flip on the right side]

[tex]\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}[/tex]            [Simplify the right side]

[tex]\frac{5}{6p}=\frac{4}{3}}[/tex]                [Simplify the left side]

6p * 4 = 5 * 3    [Cross multiply]

24p = 15            [Simplify]

p = [tex]\frac{15}{24}[/tex]                 [Divide both sides by 24]

p = [tex]\frac{15/3}{24/3}[/tex]              [Simplify the fraction]

   p = [tex]\frac{5}{8}[/tex]              [Answer]

Person A can paint the​ neighbor's house 3 times as fast as Person B. The year A and B worked​ together, it took them 10 days. How long would it take each to paint the​ house?

Bro I don't know if I'm dumb or not but I literally can't figure this out. Please help my struggling self wcdfvrd

Answers

Answer:

A: 13 1/3 daysB: 40 days

Step-by-step explanation:

If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...

  1/a + 1/(3a) = 1/10

  4/(3a) = 1/10 . . . combine terms

  40 = 3a . . . . . . . cross multiply

  a = 40/3 = 13 1/3 . . . . . divide by 3

A can paint the house in 13 1/3 days.

B can paint the house in 40 days.

I just need the answer please n thank u<3

Answers

Answer:

C.  [tex]x=-9 \textsf{ and }x=1[/tex]

Step-by-step explanation:

[tex](x+4)^2=25[/tex]

[tex](x+4)(x+4)=25[/tex]

expand the brackets:

[tex]x^2+8x+16=25[/tex]

subtract 25 from both sides:

[tex]x^2+8x-9=0[/tex]

factor:

[tex]x^2+9x-x-9=0[/tex]

[tex]x(x+9)-1(x+9)=0[/tex]

[tex](x-1)(x+9)=0[/tex]

solve for x:

[tex]x-1=0 \implies x=1[/tex]

[tex]x+9=0 \implies x=-9[/tex]

(a+4)-[12-(a+2)-(a+2)

Answers

Answer:

a=4/3

Step-by-step explanation:

Opening the brackets,

a+4-12+a+2+a+2

3a=4

∴a=4/3

Other Questions
Crunches are principally a(n) __________ exercise. Cube the following numbers.a. 1b. 2c. 4d. 8 can someone help with this problem 19r+1=20 need help i need a summary on a book about dolphins it dosent matter just make it a few sentences like 5 or 4 or 6 just include the auther and title thaank u will get brailiest 5 star rating and a follow and like Question 12 Multiple Choice Worth 5 points)(05.05 MC)Shine has some money in his account. Every month, he uses the same amount of money from his account to pay for his music classes. The table below shows the amount ofmoney left in his account after a certain amount of time, in monthsShine's SavingsMonth (x) Amount (dollars) (y)01901145N100355What is the balue of the rate of change of the function for this table and what does it represent in this situation?O S45 per month, the initial amount of money in the accountO-S190 per month, the amount of money withdrawn per monthO $190 per month, the initial amount of money in the account0-S45 per month, the amount of money withdrawn per month Given that (x+3)= 16, determine the value of x2 + +without solving the equation.. HELP ME PLZZ I NEED HELP WITH THIS!! A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.Use = 3.14.What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. The warm air rises and cool air sinks conduction convection or radiation the screen shots are attatches please help i will give brainliest. inches to miles Where did the first major civil war battle with heavy causalities occur?. Question 6 of 10 How many glucose molecules can be formed by 6 molecules of carbon dioxide? OA. 18 O B. 1 O c. 12 OD. 6 Driver's Delight is considering building a new circular track with a diameter of 150 feet, what is the circumference of the track Hi, Can someone give me some points on this topic minors (persons under 18) should be able to enter a contract Using complete sentences, describe three characteristics that are signs of urban sprawl. How can we tell if a city is sprawling? (BRAINLIEST) Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 student tickets for a total of $198. The school took in $156 on the second day by selling 10 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket. Which is an example of the body maintaining homeostasis using a positive feedback loop? Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.CAN SOMEONE PLEASE ACTUALLY ANSWER THIS, PEOPLE JUST PUT RANDOM ANSWERS UNDER THE QUESTION I KEEP ASKING... What historical event contributed to Bourbon St and Preservation Hall becoming the epicenter of traditional New Orleans jazz? HELP ME NEED IT ASAPWhat can an ophthalmologist do that an optometrist cannot?A.examine eyesB.prescribe eyeglassesC.meet with patientsD. perform surgeries