What are the values of each variable?

What Are The Values Of Each Variable?

Answers

Answer 1
x is 67
y is 63
z is 85

explanation-
x + 63 = 130 (exterior angle theorem)
-63 -63
x = 67

y and 63 are vertical angles so they are equal.

63 + 85 + z = 180 (triangle sum theorem)
148 + z = 180
- 148 -148
z = 32

Related Questions

Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21

Answers

Recal the binomial theorem:

[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

Then

[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]

We get the q⁴p¹⁷ term when k = 17, and its coefficient would be

[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]

How do I solve this?​

Answers

Answer:

x= -2

Step-by-step explanation:

y=x+4

y=2

2=x+4

-4+2=x

-2=x

x=-2

Answer:

x= -2

Step-by-step explanation:

In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts

Answers

In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.

Consider some possible orderings of the deck:

• If the 3 of spades is the 14th card, then the deck looks like

[all 13 ♥] … 3 ♠ … [all other 38 cards]

There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.

• If 3 ♠ is the 15th card, then the deck looks like

[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]

and there would be 14! × 37! ways of arranging the cards in this order.

There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is

[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]

There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is

[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]

38
21
21
X
What is the value of X

Answers

Answer:

80

Step-by-step explanation:

honestly it depends on the question but if it's addition, this is the answer

Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?

Answers

Answer:

  $169.33

Step-by-step explanation:

Each of the friends spent ...

  $14.95 +6.99 +2.25 = $24.19

The seven friends together spent ...

  7($24.19) = $169.33

Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?

Answers

Answer:

48 books

Step-by-step explanation:

you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48

Imma need a really quick answer im on a real tight clock

Answers

Answer:

Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck

Step-by-step explanation:

It takes Billy 40 minutes to drive to his friend's house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friend's house. How far does his friend live?

Answers

Answer:

20 miles

Step-by-step explanation:

A size 8 kids shoe measures 9 2/3 inches. if 5 size 8 shoes are lined end to end, then bow many inches will they cover?

Answers

Answer:

48 1/3 inches

Step-by-step explanation:

Each size 8 shoe measures 9 2/3 inches. If we line 5 of them together, the length of the entire thing will be 5 times the size of each shoe, 9 2/3 in. To write 5 as a fraction, put it over a denominator of 1. Then rewrite 9 2/3 as an improper fraction. Now you can multiply across and simplify as needed.

Answer:

the person below is correct

Step-by-step explanation:

hope this helps have a good rest of ur night :)❤

Which sign makes the sentence true?
3/2_- 3/2
<
>

Answers

>

As any positive is greater than a negative number

plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,

Answers

Answer:

going up by 2 numbers

Step-by-step explanation:

Going up by -2 for example from 1 to -1 you are go up by -2

Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."

Answers

The resulting function is presented in the image attached below.

In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:

[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]

[tex]f'(x) = - f(x)[/tex] (1)

Which means that the reflected function is equal to the original function multiplied by -1.

Now, we proceed to represent the reflected function graphically.

We kindly invite to check this question on reflections: https://brainly.com/question/15487308

9.) During the soccer season, Finn scored goals on 8% of the shots he
took. If he scored 40 goals, how many shots did he take?
1 point
500 shots
50 shots
320 shots
32 shots

Answers

Answer:

500 shots

Step-by-step explanation:

the question is 8% of what number is 40?

we can use this proportion:  is/of = %/100

let 'g' = number of goals

40/g = 8/100

cross-multiply to get:

8x = 4000

x = 500

i need help with evaluating functions g(n)=3n - 4 ; find g(9)

Answers

n = 9
So
3n - 4 = (3*9) - 4 = 23

one half of the sum of number and 10

Answers

Sum of x and 10 is (x+10)

Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]

Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?

Answers

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

For both of them:

Investment of $970, hence [tex]P = 970[/tex]

Invested for 8 years, hence [tex]t = 8[/tex]

Elizabeth:

Compounded daily, hence [tex]n = 365[/tex].

Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

Which system of inequalities has no solution ? I’m not sure

Answers

I think the answer might be c

Geometry- Copy and complete the statement.​

Answers

Answer:

X+y over y

Step-by-step explanation:

X+y over y

Hope it helps

This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5

Answers

B.answers im sorry kung mali po

plz help ty<3

6cd^2+ 5cd + 3c^2 d^3

Answers

I think its 52 I'm not sure please dont get angry If I got it wrong

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17

Answers

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)

Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.

what is 4 - (-10) equal too? explain in your own words and why so

Answers

Answer:

14

Step-by-step explanation:

When there are 2 -, they both create a +. the brackets are removed and you get 4--10, which is equal to 4+10 which = 14

If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?

Answers

5 times

6 sided die, and you have to roll a one
It’s a 1/6 chance

1/6 out of 30 is 5

What is the area of this triangle

Answers

Answer:

A = 18 in²

Step-by-step explanation:

The area of a triangle can be calculated using the formula A = (bh)/2

where b = base length and h = height

Fortunately for us, the variables are already defined and given to us in the problem

All we have to do is plug in the values of h and b into the formula for area of a triangle

A = (bh)/2

b = 3 and h = 12

A = ((12)(3))/2

multiply 12 and 3

A = 36/2

divide 36 by 2

A = 18 in²

Graph the line with slope 3/4 passing through the point (1,5).​ 20 points!

Answers

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

since we know the slope is 3/4, we have y = 3/4x + b. next plug in the point given. 5= 3/4(1) + b, simplify the equation to get 17/4=b, and now we have our equation: y = 3/4x + 17/4

I’m a poll, 100 people were asked to indicate if they prefer to drive a truck or car and their gender. Based on the table, which of the following statements is NOT true?

Answers

Answer:

B) men are less likely to prefer driving trucks than women

Step-by-step explanation:

Help very quick ! thank youuuuuuuuuuuuuu

Answers

2 hours 45 minutes

hope this helps

She spent 2 hours and 45 minutes.

question number fifteen​

Answers

Answer:

d. EDC

Step-by-step explanation:

if you mirror the triangle ABC, it fits perfectly with triangle EDC

What is the equation of this line in slope-intercept form?
A: y = 4x + 1

B: y=−4x+1

C: y=4x−1

D: y=−14x+1

Answers

Answer: B

Step-by-step explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

We can first eliminate C, because the y-intercept of the graph is 1.

To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).

Slope = (y2 - y1) / (x2 - x1)  

           = (-3 - 5) / (1 - (-1))

          = (-3 - 5) / (1 + 1)

          = -8/2

          = -4

Plug in the slope and y-intercept, we get y = -4x + 1

       

Someone plz help me :(

Answers

Answer:

The answer is a

Step-by-step explanation:

Like and give 5 star rating

Answer:

8/3 miles over 8miles

8 mi/3 hrs = 8/3 mi/hr = 2.66666.

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