in isosceles triangle XYZ, angle X=117°. calculate angleZ​

Answers

Answer 1

Answer:

31.5

Step-by-step explanation:

Angle Z+ Angle X+ Angle Y=180

As the triangle is isosceles, Z=X, hence Z=63/2=31.5


Related Questions

Use synthetic division to find
the quotient. PLZ HELP

Answers

Answer:

[tex]2x {}^{3} + {8x}^{2} - 6x - 31 + \frac{ - 128}{x - 4} [/tex]

Place the coefficients in the right place.

Answered by GAUTHMATH

Let X be a random variable with density function f(x) = 2e^−2x
Calculate P( X≤ 0.5| X≤ 1)

Answers

By definition of conditional probability,

P(X ≤ 0.5 | X ≤ 1) = P((X ≤ 0.5) and (X ≤ 1)) / P(X ≤ 1)

but if X ≤ 0.5, then it's automatic that X ≤ 1, so

P(X ≤ 0.5 | X ≤ 1) = P(X ≤ 0.5) / P(X ≤ 1)

Given the PDF of X,

[tex]f_X(x) = \begin{cases}2e^{-2x}&\text{if }x\ge0\\0&\text{otherwise}\end{cases}[/tex]

the CDF would be

[tex]P(X\le x) = F_X(x) = \displaystyle\int_{-\infty}^x f_X(t)\,\mathrm dt[/tex]

[tex]F_X(x) = \begin{cases}0&\text{if }x<0\\1-e^{-2x}&\text{if }x\ge0\end{cases}[/tex]

So we have

P(X ≤ 0.5 | X ≤ 1) = (1 - exp(-2 × 0.5)) / (1 - exp(-2 × 1))

… = (1 - exp(-1)) / (1 - exp(-2))

… = (1 - 1/e) / (1 - 1/e ²)

… = (e ² - e) / (e ² - 1)

… = e / (e + 1) ≈ 0.7312

What is the scale factor of the dilation?

PLEASE BE CORRECT

Answers

2
Because
Notice the horizontal side of the red triangle is 2 times that of the blue triangle. Therefore the dilation factor is 2
Scale factor is 2
I could be wrong

PLz help!!

What is the degree of the polynomial

Answers

Answer:

3 maybe I'm just guessing.

now thats room for an answer again: yeah, 3 is right. its the x³ that defines the degree, its just the biggest power.

Draw the graph of y +5=0 for two and 3 variables

Answers

Answer:

Step-by-step explanation:

y+5=0

y=-5

it is a line down 5 units parallel to x-axis.

you can take infinie points say (1,-5),(5,-5) ,(7,-5) etc.

Answer:

y = - 5

Step-by-step explanation:

In two dimensions, this is a line parallel to the x - axis. You can also think of it as a locus, the infinite set of points fulfilling  (,− 5)  — any real value of x, but y has to be -5.

Extending it to three dimensions, it is a plane parallel to the x-axis and also to the z-axis, or the locus  (,− 5, ).

Given the formula x=4ab(b+9), find x if a = 5 and b =7

Answers

Answer:

2240

Step-by-step explanation:

4(5)(7)(7+9)

=2240

Answer:

x = 2240

Step-by-step explanation:

x= 4ab(b+9)

x= 4(5)(7)(7+9)

x= 4(35)(16)

x= 4(560)

x= 2240

A group of 49 randomly selected students has a mean age of 22.4 years with a standarddeviation of 3.8. Construct a 98% confidence interval for the population mean knowing thatthe population standard deviation is 4.2 years.

Answers

Answer:

The 98% confidence interval for the population mean is between 21 and 23.8 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{4.2}{\sqrt{49}} = 1.4[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 22.4 - 1.4 = 21 years.

The upper end of the interval is the sample mean added to M. So it is 22.4 + 1.4 = 23.8 years.

The 98% confidence interval for the population mean is between 21 and 23.8 years.

The sequence below is arithmetic:

{3, -6, -15, -24}

TRUE OR FALSE

Answers

Answer: TRUE

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each term (number) is a constant.

Given the sequence is {3, -6, -15, -24}

3 - (-6) = 9

-6 - (-15) = 9

-15 - (-24) = 9

As we can see from above, the difference between the given terms is all 9. Therefore, it is indeed an arithmetic sequence.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

true

Step-by-step explanation:

Find the y-intercept from the line passing through (1, 3) and having slope m=2.

Answers

Answer:

The y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation and solve for y

3 = 2(1)+b

3 =2+b

1 = b

The y intercept is 1

Y-intercept is (0,1)

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

A passenger car will go 455 miles on 17.5 gallons of gasoline in city driving. What is the rate in miles per gallon?

Answers

Answer:

26 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

455 miles / 17.5 gallons

26 miles per gallon


Part A
What is the relationship between squaring and taking the square root? Because of this relationship, what happens when you square a square
root?

Answers

Squaring a number is the inverse of taking its square root. These two operations cancel each other out.

Find the equation for the line that passes through the points
(5,−8)and (−3,1).

Answers

Answer:

y=-9/8x-19/8

Step-by-step explanation:

which statement is true about the y- intercept of a quadratic function

a. a quadratic function can only have one y - intercept

b. a quadratic function can have up to two y-intercepts

c. the y-intercepts is also called a zero of the function

d. the y-intercept is located at the point where the value is y is 0

Answers

Answer:

A. a quadratic function can only have one y-intercep

which statement is true about the y- intercept of a quadratic function

a. a quadratic function can only have one y - intercept

Solve the right triangle, ΔABC, for the missing side and angles to the nearest tenth given sides a = 14.9 and b = 17.5.
A. A = 31.6 , B = 58.4 , c = 9.2
B. A = 49.6 , B = 40.4 , c = 23
C. A = 40.4 , B = 49.6 , c = 23
D. A = 40.4 , B = 49.6 , c = 9.2

Answers

Answer:

C. A = 40.4 , B = 49.6 , c = 23

Step-by-step explanation:

First, we need to get the c using the pythagoras theorem;

c² = a²+b²

c² = 14.9²+17.5²

c²  = 222.01 + 306.25

c² = 528.26

c = 22.98

c ≈ 23

Using the sin rule;

a/Sin<A  = c/sin<C

14.9/sin<A = 23/sin90

14.9/sin<A = 23

sin<A = 14.9/23

sin <A = 0.6478

<A = arcsin(0.6478)

<A = 40.4degrees

Also, <A + <B + <C = 180

40.4 + <B + 90 = 180

<B = 180 - 130.4

<B = 49.6degrees

Explain how you could find the shortest distance from A(6, 5) to the line y = 5x – 10. (Use a diagram, be specific, and list all your steps.

Answers

Step-by-step explanation:

I cannot draw a diagram here.

but I can explain what to do in general.

the shortest distance from a point to a line is always via a connecting line that is perpendicular to the given line and his through the given point.

and then the distance from the given point to the intersection point is calculated.

every line is defined in the form like

y = ax + b

where a is the slope of the line, and b is the intersection point on the y-axis (the offset from point 0).

the slope of a line is the ratio y/x defining how many units y changes when x changes a certain amount of units.

in our example,

y = 5x - 10

5 (or rather 5/1) is the slope of the line.

it means that y grows by 5 units every time x grows by 1 unit.

a perpendicular line (cuts the original line with a 90 degree angle) has a related slope : it reverts x and y and flips the sign :

5/1 turns into -1/5

that means at the perpendicular line whenever x grows by 5 units, y goes down by 1 unit.

so, the first approach for the perpendicular line is

y = -1/5 x + b

to get b we use the given point (6, 5) that has to be in the perpendicular line.

5 = -1/5 × 6 + b

25/5 = -6/5 + b

31/5 = b

=> y = -1/5 x + 31/5

the intersecting point is now where both lines are equal

5x - 10 = -1/5 x + 31/5

25x - 50 = -x + 31

26x = 81

x = 81/26

y = 5×(81/26) - 10 = 405/26 - 260/26 = 145/26

the distance of the given point (6, 5) to the line intersection point (81/26, 145/26) is the calculated as

distance² = (6 - 81/26)² + (5 - 145/26)²

distance = sqrt((6-81/26)² + (5-145/26)²)

since the result was not requested here, I save us the calculation.

Pls if anyone knows the answer that will be greatly appreciated :)

Answers

Answer:

I think the area is 60 but i couldn't figure out the perimeter, sorry.

Step-by-step explanation:

Answer:

perimeter = 36 m

area = 60 m²

Step-by-step explanation:

there is some missing information. for example about the types of the shapes. e.g. if the triangle on the top is an isosceles triangle (2 equal sides). or if the rectangle at the bottom is actually a square with 6 m on all sides. in order to make the sloped side of the top triangle a round, whole number, i assume that the bottom part is a square.

so, the area of this combined shape is the area of the bottom square plus the area of the top triangle.

area square As = 6×6 = 36 m²

so, one side of the triangle is also 6 m, the other is 14-6 = 8 m.

the area of such a right-angled triangle is half of the full rectangle of 6×8.

area triangle At = 6×8/2 = 48/2 = 24 m²

total area = As + At = 36 + 24 = 60 m²

the perimeter of the total shape is the sum of all sides.

so, 14, 6, 6 and ... the baseline/ Hypotenuse of the top triangle.

for that r need the mentioned Pythagoras :

c² = a² + b²

where a and b are the sides, and c is the Hypotenuse (the side opposite of the 90 degree angle).

so, in our case of an isosceles triangle with a 90 degree angle :

c² = 8² + 6² = 64 + 36 = 100

c = 10 m

so, the perimeter is

14+6+6+10 = 36 m

If f(x)=ax^4-bx^2+x+5 and f(-3)=2, then what is the value of f(3)?

Answers

f(3)=8

Answer:

Solution given:

f(x)=ax^4-bx^2+x+5 and

f(-3)=2

f(-3)=a(-3)^4-b(-3)^2+(-3)+5

2=81a-9b-3+5

2=81a-9b+2

subtracting both side by 2 and adding 9b

2-2+9b=81a-9b+9b+2-2

9b=81a

now

f(3)=a(3)^(4)-b(3)^(2)+3+5

f(3)=81a-9b+8

substituting value of 81a

f(3)=9b-9b+8

f(3)=8

This function is _____over the interval
[tex]x < - 1[/tex]


This function is_____ over the interval l
[tex] - 1 < x < 1[/tex]



Select all of the possible degrees of this polynomial function
2
3
4
5​

Answers

Answer:

the answer to this question is 1

Step-by-step explanation:

the reason to that is because when the line goes over 2 and -2.

Answer:

first part is decreasing and increasing

second part is 3 and 5

Step-by-step explanation:

edg 2021

Identify the two types of incorrect decisions in a hypothesis test. For each incorrect​ decision, what symbol is used to represent the probability of making that type of​ error?

Answers

Answer:

Type I error and Type II error

Explanation:

Type I and Type II errors are statistical errors made in hypothesis testing where an accepted hypothesis is actually the false hypothesis and the other true.

Type I error occurs when the chosen hypothesis is the alternative hypothesis which is false since the null hypothesis is true. We reject the null hypothesis which is actually true.

Type II error occurs when we accept or fail to reject the null hypothesis which is false and reject the alternative hypothesis which is true.

The probability of making a Type I error is represented by your alpha level (α)(we reject when below p-value)

The probability of a type-II error is represented by β which is beta.

Out of a pool of 234 people with lottery tickets,
120 of them are women, and out of those 120,
65 are older than 23, and out of those 65, 12 are
married. What is the probability that the lottery
winner will be a married woman older than 23?

Answers

Answer:

2/39

Step-by-step explanation:

You will end up with 12/234

You can simplify it by 6

And then you get 2/39

The length of a rectangle is 2 centimeters less than three times its width. Its area is 21 square centimeters. Find the dimensions of the rectangle. Use the​ formula, area=length*width.

Answers

Area = length x width

Area = 21 square cm

Width = x

Length = 3x + 2

21 = 3x+ 2 * x

21 = 3x ^2 + 2x

Subtract 21 from both sides:

3x^2 + 2x -21 = 0

Use the quadratic formula to solve for x:

-2 +/- sqrt(2^2-4*3(-21))/(2*3)

X = 7/3 and -3

A dimension can’t be a negative value so x needs to be 7/3

Width = x = 7/3 = 2 1/3 cm

Length = 3(7/3) + 2 = 9 cm

Check: 9 x 2 1/3 = 21

Dimensions: width 2 1/3 cm length 9 cm

Answer:

The dimensions of the rectangle are 7 by 3 centimeters.

Step-by-step explanation:

We are given that the length of a rectangle is two centimeters less than three times its width. In other words:

[tex]\displaystyle \ell = 3w-2[/tex]

Given that the area of the rectangle is 21 square centimeters, we want to determine the dimensions of the rectangle.

Recall that the area of a rectangle is given by:

[tex]A= w\ell[/tex]

Substitute:

[tex](21)=w(3w-2)[/tex]

Solve foro the width. Distribute:

[tex]3w^2-2w=21[/tex]

Isolate the equation:

[tex]3w^2-2w-21=0[/tex]

Factor. Find two numbers that multiply to 3(-21) = -63 and add to -2.

-9 and 7 suffice. Hence:

[tex]3w^2-9w+7w-21=0 \\ \\ 3w(w-3)+7(w-3) = 0 \\ \\ (3w+7)(w-3)=0[/tex]

Zero Product Property:

[tex]3w+7=0\text{ or } w-3=0[/tex]

Solve for each case. Hence:

[tex]\displaystyle w = -\frac{7}{3}\text{ or } w=3[/tex]

Since width cannot be negative, we can ignore the first solution.

Therefore, our width is three centimeters.

And since the length is two less than three times the width, the length is:

[tex]\ell = 3(3) - 2 = 7[/tex]

The dimensions of the rectangle are 7 by 3 centimeters.

how do you Determine the x- and y-intercepts. x + (1/2) y = 2

Answers

X intercept (2,0)
Y intercept (0,4)

How many pounds of grain is it necessary to grind to get exactly 100 lb of flour, is the payment for the work is 10% of the ground flour? (Assume there are no loses after grinding.)

Answers

Answer:

111.1111... lbs

x -.1x = 100

.9x = 100

x = 100/.9 = 111.1111

Step-by-step explanation:

The average price of a laptop is $965. Assume laptop prices are approximately normally distributed with a standard
deviation of $100. The least expensive 10% of laptops cost less than what amount?
• Use a TI-83, TI-83 plus, or TI-84 calculator, and round your answer to two decimal places,

Answers

Answer:

$836.8

Step-by-step explanation:

Average price = mean = $965

Standard deviation, = $100

Given that distribution is approximately normal ;

The least expensive 10% of the laptops :

We Obtain the Zscore that corresponds to P(Z ≤ 0.1) ; this means the least 10% of the laptops ;

From, a normal probability distribution table ;

P(Z ≤ 0.1) = - 1.282

We substitute this into the Zscore formula :

Zscore = (x - mean ) / standard deviation

x = price

-1.282 = (x - 965) / 100

-128.2 = (x - 965)

x = - 128.2 + 965

x = $836.8

Hence, price is $836.8

Evaluate f(x) = X - 8 for x = -8

Answers

Answer:-16

Step-by-step explanation:

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $24.8, and the variance is known to be $125.44. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.59

Answers

Answer:

747 samples

Step-by-step explanation:

Given:

Standard deviation = √125.44 = 11.2

Zcritical = 85℅

Margin of error, E = 0.59

The sample size, n required cnanbe obtained using the relation :

n = [(Zα/2 * σ) / E]²

Zcritical at 85% = 1.44

n = [(1.44 * 11.2) / 0.59]²

n = (16.128 / 0.59)²

n = 747.23

n = 747 samples

if one half of a number is 5 more than 6, what is the value when the number is tripled

Answers

Answer:

66

Step-by-step explanation:

let's use x to represent the unknown number

1/2x is 5 more than 6:

1/2x=5+6

solve to find x

1/2x=11

x=22

next, it asks us what is the value of the number when the number is tripled

since we already found what x is equal to, we can multiply that by 3 to figure out its value when it's tripled

3(22)=66

Using mathematical equation to model the scenario, the value of the number when tripled is 66

Let the number = n

0.5n = 5 + 6

0.5n = 11

Divide both sides by 0.5

n = 22

When n is tripled :

n = 22 × 3

n = 66

Hence, the value of the number when tripled is 66

Learn more : https://brainly.com/question/25480062

20,30,13,10,14,10,10,?,?,?

Answers

Answer:

10,13,14,20,30................

If you multiply x + 3 by 2x + 5, what will the coefficient of x be?

Answers

Answer:

Answer:     2x^2+11x+15      Coefficient of x is 11 and coefficient of x^2 is 2.

Step-by-step explanation:

(x+3)×(2x+5)=?

           Use FOIL Method                      Foil stands for First Outer Inner Last

Step 1:      (x×2x)        =2x^2                Multiply First Terms together  (x and 2x)

Step 2:     (x×5)         =5x           Multiply Outer terms together (x and 5)

Step 3:    (3×2x)        =6x           Multiply Inner terms together (3 and 2x)

Step 4:     (3×5)         =15            Multiply Last terms together (3 and 5)

2x^2+5x+6x+15             Combine Like Terms

Answer:     2x^2+11x+15

I really need help
Dz,2 of X is
(0-4)
(2,-2)
(6,2)

Answers

9514 1404 393

Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

_____

Additional comment

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

Other Questions
A radioactive material has a half-life of 1 day. The material decays according to the equation M = 1000(1/2)^t. Mass M is measured in grams and time t is measured in days.a) What is the mass of the sample after 1 day? 2 days? 10 days?b) Use a calculator with an exponent key to compute the mass of thesample after 1 year. Explain what the answer means.I literally have no idea how to do this The graph of the invertible function g is shown on the grid below.What is the value of g^-1(-8) Riya said that she had been planting trees in barren for five years.( change into direct speech ) The three sides of a triangle are n, 3n+3, and 3n1. If the perimeter of the triangle is 72m, what is the length of each side? A block plane comesor" in length How do individual roles work within a group or team?A. The leader of the group assigns each person a role or responsibility.B. The leader of the group does all the work and doesn't assign any roles.C. Each person argues for the role he or she would like and creates conflictD. Each person decides on how he or she can best contribute to the group.I cant decide between A and D A car travels at an average speed of 64 miles per hour. How many miles does it travel in 5 hours and 15 minutes? Determine the value of k if 12x2 + kx/ 4x= 3x 5. Briefly explain the effect of migration in various area. Let a=1,4,2 and b=5,5,2. Compute:a+b= ,, ab= ,,2a= ,,3a+4b= ,, |a|= sha-vzwq-abyLadkiyoooooo aaa jaoooKidhr hoo sab yaaar??? Simplifying Please Help! A ball of mass 0.50 kg is rolling across a table top with a speed of 5.0 m/s. When the ball reaches the edge of the table, it rolls down an incline onto the floor 1.0 meter below (without bouncing). What is the speed of the ball when it reaches the floor? Which example reflects the proper way to capitalize the closing of a letter?A.Yours Very Truly,B.yours very truly,C.Yours very truly,D.Yours Very truly, Solve the formula for the indicated variable.1A=-bh, for h2- BA 10. The slope of the line passing through (3, 3)and (-3, 3) is: Love wants the flower to be a combinateon of a rose and a lilyTrue or false This is CIVICS PLEASE HELP!Keenan is running for the local school board. He wants voters to see him as neighborly. Which approach is Keenan's best choice?A. An endorsement from a famous figure who once attended the local schools.B. A citizen testimonial in which town residents explain why they think Keenan is just like them.C. A negative ad that accuses other candidates of unsavory behavior and disloyalty. D. An introduction ad that explains Keenan's deep ties to the community and long history in education. Topic: Differential Calculus; limit of a function For a different reaction, the plot of the reciprocal of concentration versus time in seconds was linear with a slope of 0.056 M-1 s -1 . If the initial concentration was 2.2 M, calculate the concentration after 100 seconds. Show your work.