find the value of Y in the figure above .

Find The Value Of Y In The Figure Above .

Answers

Answer 1

9514 1404 393

Answer:

x = 37y = 22

Step-by-step explanation:

Consecutive interior angles are supplementary.

  (x -20)° +(4x +15)° = 180°

  5x = 185 . . . . . . . . . . . . . . divide by °, add 5

  x = 37 . . . . . . . . . . . . divide by 5

__

  74° +(5y -4)° = 180°

  5y = 110 . . . . . . . . . . . divide by °, subtract 70

  y = 22 . . . . . . . . . . divide by 5


Related Questions

I need help plz!!
8.57396817...•5/8 is rational or irrational?

Answers

Answer:

Irrational

Step-by-step explanation:

Any non-zero rational number multiplied by an irrational number will be irrational. We can rewrite this as (8.57... * 5) / 8, but we have no idea how to make 8.57... * 5 rational, or expressed as the quotient of two integers.

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 5 unit and the width is Fraction 1 over 5 unit, what is the perimeter of the rectangle in units?

Fraction 3 over 5 unit
1 unit
1Fraction 1 over 5 units
2Fraction 3 over 5 units

Answers

Answer:

Step-by-step explanation:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Answer:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Step-by-step explanation:

11. What is the reciprocal of 6/5?
OA. 12/20
OB.11/5
OC.1
OD.576

Answers

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

Answer:

5/6

Step-by-step explanation:

The reciprocal is where you flip the fraction

6/5 -> reciprocal -> 5/6

I'm not sure about your answer choices tho, sorry

What is the vertex of the graph of this function
y= -(x+2) (x+4)

Answers

Answer:

y=-(x+2)(x+4)

y=-(x^2+4x+2x+8)

y=-(x^2+6x+8)

y=-(x^2+4x+2x+8)

Y=-x(x+4)+2(x+4)

y=-(x+2)(X+4)

So vertex is (2,4)

Write each as a decimal round to the thousands place 44%

Answers

Answer:

44 as a decimal is 0.44 and you can multiply 0.44 by a number to get 44 percent of that number.

(x+16)²=12 plz help me and show work

Answers

Answer:

The answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form or [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex] in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring [tex]x+16[/tex], which will look like [tex]x^{2} +32x+256-12=0[/tex]. Next, simplify the equation again, which will look like [tex]x^{2} +32x+244=0[/tex].

Then, use the quadratic formula to find the solutions. The quadratic formula looks like[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex].

For this problem, the quadratic variables are as follows:

[tex]a=1[/tex]

[tex]b=32[/tex]

[tex]c=244[/tex]

The next step is to substitute the values [tex]a=1[/tex], [tex]b=32[/tex], and [tex]c=244[/tex] into the quadratic formula and solve. The quadratic formula will look like [tex]\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}[/tex]. To simplify the equation, start by simplifying the numerator, which will look like [tex]x=\frac{-32(+-)4\sqrt{3} }{2*1}[/tex]. Then, multiply 2 by 1 and simplify the equation, which will look like [tex]x=-16(+-)2\sqrt{3}[/tex]. The final answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form. In decimal form, the final answer is [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex].  

Find the measure of the missing angles.

Answers

Answer:

e- 77

d- 52

f- 51

Step-by-step explanation:

Step-by-step explanation:

d=52° (,vertically opposite angle)

77+52+f=180 (linear pair)

f=180- 129

f=51°

52+51+e=180

e=180- 103

e=77°

According to the U.S. National Center for Health Statistics, there is a 98% probability that a
20-year-old male will survive to age 30.
(a) Using statistical software, simulate taking 100 random samples of size 30 from this
population.
(b) Using the results of the simulation, compute the probability that exactly 29 of the 30 males
survive to age 30.
(c) Compute the probability that exactly 29 of the 30 males survive to age 30, using the
binomial probability distribution.
(d) Using the results of the simulation, compute the probability that at most 27 of the 30 males
survive to age 30.
(e) Compute the probability that at most 27 of the 30 males survive to age 30 using the
binomial probability distribution.
(f) Compute the mean number of male survivors in the 100 simulations of the probability
experiment. Is it close to the expected value?
(g) Compute the standard deviation of the number of
male survivors in the 100 simulations of the probability experiment. Compare the result to the
theoretical standard deviation of the probability distribution

Answers

Answer:

0.03398 or 3.398%

Step-by-step explanation:

-This is a binomial probability problem.

-Given p=0.24, n=100, the probability that exactly 30 people is calculated as:

Hence, the probability that exactly 30 people have hypertension is 0.03398

Subtract.
7x2 - 5x+3
(2x² + 7x-4)

Answers

Answer:

7×=14

5×3=15

5+3=8

7×4=28

7-4=3

2×2=4

if add this all will get the answer as 72

if we will subtraction answer will be as -44

Step-by-step explanation:

so we will get the answer as

addition = 72

subtraction= -44

so this is the answer

please give me points

write two properties of Zero​

Answers

Answer:

the addition properties of zero and multiplication properties of zero

zero is even, not odd not neutral.

zero is neither positive or negative.

A restaurant is doing a special on burgers. If the home team get a sack, the next day, burgers will cost$1.00
Normally, they cost $3,99. If every fan who attended the game (86,047 people) buys a $1.00 burger, how much
money did the restaurant lose with this discount?

Answers

3.99-1 = 2.99 they lose 2.99 per burger

Multiply the number of people by the amount lost per burger:

2.99 x 86,047 = 257,280.53

They would lose: $257,280.53

Answer:

86043.01

Step-by-step explanation:

Solve for X

(Ignore the math I did on top)

Answers

Here is the answer!

For the following function, solve both f'(x) = 0 and f''(x) = 0 for x.
f(x) = x(x - 3)^4

Answers

f(x) = x(x - 3)^4
f’(x) = 0(x - 3)^4
f’(x) = x^4
f”(x) = x(0 - 3)^4
f”(x) = x(-3)^4
f”(x) = x(81)
f”(x) = 81x

Find a formula for the given polynomial.

Answers

In this question, we have to identify the zeros of the polynomial, along with a point, and then we get that the formula for the polynomial is:

[tex]p(x) = -0.5(x^3 - x^2 + 6x)[/tex]

------------------------

Equation of a polynomial, according to it's zeros:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

------------------------

Identifying the zeros:

Given the graph, the zeros are the points where the graph crosses the x-axis. In this question, they are:

[tex]x_1 = -2, x_2 = 0, x_3 = 3[/tex]

Thus

[tex]p(x) = a(x - x_{1})(x - x_{2})(x-x_3)[/tex]

[tex]p(x) = a(x - (-2))(x - 0)(x-3)[/tex]

[tex]p(x) = ax(x+2)(x-3)[/tex]

[tex]p(x) = ax(x^2 - x + 6)[/tex]

[tex]p(x) = a(x^3 - x^2 + 6x)[/tex]

------------------------

Leading coefficient:

Passes through point (2,-8), that is, when [tex]x = 2, y = -8[/tex], which is used to find a. So

[tex]p(x) = a(x^3 - x^2 + 6x)[/tex]

[tex]-8 = a(2^3 - 2^2 + 6*2)[/tex]

[tex]16a = -8[/tex]

[tex]a = -\frac{8}{16} = -0.5[/tex]

------------------------

Considering the zeros and the leading coefficient, the formula is:

[tex]p(x) = -0.5(x^3 - x^2 + 6x)[/tex]

A similar problem is found at https://brainly.com/question/16078990

The formula that represents the polynomial in the figure is [tex]p(x) = x^{3}-x^{2}-6\cdot x[/tex].

Based on the Fundamental Theorem of Algebra, we understand that Polynomials with real Coefficient have at least one real Root and at most a number of Roots equal to its Grade. The Grade is the maximum exponent that Polynomial has and root is a point such that [tex]p(x) = 0[/tex]. By Algebra we understand that polynomial can be represented in this manner known as Factorized form:

[tex]p(x) = \Pi\limits_{i=0}^{n} (x-r_i)[/tex] (1)

Where:

[tex]n[/tex] - Grade of the polynomial.

[tex]i[/tex] - Index of the root binomial.

[tex]x[/tex] - Independent variable.

We notice that polynomials has three roots in [tex]x = -2[/tex], [tex]x = 0[/tex] and [tex]x = 3[/tex], having the following construction:

[tex]p(x) =(x+2)\cdot x \cdot (x-3)[/tex]

[tex]p(x) = (x^{2}+2\cdot x)\cdot (x-3)[/tex]

[tex]p(x) = x^{3}+2\cdot x^{2}-3\cdot x^{2}-6\cdot x[/tex]

[tex]p(x) = x^{3}-x^{2}-6\cdot x[/tex]

The formula that represents the polynomial in the figure is [tex]p(x) = x^{3}-x^{2}-6\cdot x[/tex].

Here is a question related to the determination polynomials: https://brainly.com/question/10241002

The quadrilaterals JKLM and PQRS are similar. Find the length x of SP

Answers

Answer:

4.8

Step-by-step explanation:

The scale factor is (3.6)/3=1.2. Hence x/4=1.2, x=4.8

Find the equation of the tangent line at the point (0,1) of the graph of the function f(x) = x^3 - 2x + 1 ?​

Answers

9514 1404 393

Answer:

  y = -2x +1

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 3x^2 -2

so the slope at x=0 is f'(0) = -2. In slope-intercept form, the equation of the tangent line is ...

  y = -2x +1

Step 1: Choose the price of the house. Then calculate 20% (which will be your down payment). Write down the price and 20% of the price.


Step 2: You don't have 20% now, so you will use an annuity to save up until you have the 20%. Choose a time in the future (2 years, 3 years, 4 years, 5, 10?) that you will purchase this house. Choose an APR that the bank will give you. Calculate how much you need to deposit every month in order to have the 20% down payment down the road. Write down the numbers of years, the interest rate, the formula with all the numbers plugged in, and the monthly deposits you will need to make.


Step 3: Now you take out a mortgage on the remaining 80%. Choose an APR that the bank will charge you (to be realistic, more than the APR in step 2) and the time you will take to pay off the loan. Write down the formula with all the numbers plugged in, and write down the minimum monthly payments.


Please show me proper work and a step by step explanation on how you got your answers. Anyone who attempts to answer just to steal points will be reported. Btw this is due midnight tonight so I could really use some help with this

Answers

9514 1404 393

Answer:

$250,000 house price. $50,000 down payment2 years, 3% from the bank, monthly: $2024.065% APR, 30 years, monthly: 1073.64

Step-by-step explanation:

1. House prices vary considerably. In January, 2021, the median US house price was about $269,000, growing at the rate of about 3.2% per year. For the purpose of this problem, we have chosen a slightly lower price of ...

   $250,000 . . . selected house price

20% of this price is ...

  0.20 × $250,000 = $50,000 . . . amount of down payment

__

2. House prices are growing faster than the interest rate we can get at the bank, so we want to minimize the amount of time we save for a down payment. At the same time, we recognize that saving this amount quickly will put a significant strain on the budget. We choose a period of 2 years, and assume a bank rate on savings of 3%. (US rates in mid-2021 average about 0.04%.) This annuity formula gives the future value of a series of payments:

  A = P((1+r/12)^(12t)-1)(12/r) . . . . monthly payment P at annual rate r for t years

Solving for P, we have ...

  P = A(r/12)/((1 +r/12)^(12t) -1)

Filling in the chosen numbers, we find we need to save ...

  P = $50,000(0.03/12)/(1 +0.03/12)^(12·2) -1) = $50,000(0.0025)/0.06175704

  P = $2024.06

$2024.06 needs to be deposited every month for 2 years at 3%.

__

3. The mortgage will be for ...

  $250,000 -50,000 = $200,000

We assume we can get an APR of 5% on a 30-year loan. (US rates in mid-2021 are around 3.2%.) The formula for the payment amount is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . principal P at rate r for t years

Filling in the chosen numbers, we find the monthly payment to be ...

  A = $200,000(0.05/12)/(1 -(1 +0.05/12)^(-12·30))

  = $200,000(0.0041666667)/0.77617340 = $1073.64

The monthly mortgage payment will be $1073.64.

HELP !
Find the measure it the given angle.​

Answers

Answer:

it's 90

Step-by-step explanation:

inscribed angle intercepts a semicircle is always 90

Answer:90
Because you have to find the radius and x by pi

so sánh 198*202 và 200^2

Answers

Step-by-step explanation:

198×202=39,996

200×200=40,000

hence,

39,9996 < 40,000

hope it helps

Find the slope and the y-intercept of the line with the given equation.

f(x) = 7 -4/5x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The slope is
(Type an integer or a simplified fraction.)
B. The slope is undefined.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The y-intercept is
(Simplify your answer. Type an ordered pair, using integers or fractions.)
B. There is no y-intercept.

Answers

Answer:

The slope is -4/5

The y intercept is (0,7)

Step-by-step explanation:

f(x) = 7 -4/5x

Rewriting

y = -4/5x +7

This is in slope intercept form

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

The slope is -4/5

The y intercept is (0,7)

prove that tan² theta + cot² theta = sec² theta cosec² theta- 2​

Answers

Step-by-step explanation:

Tan² theta = sec² theta - 1

Cot² theta = cosec² theta - 1

Tan²+Cot² = sec²-1+cosec²-1

= sec²+cosec²-2

Please find attached herewith the solution of your question.

If you have any doubt, please comment.

point slope of the line equation, slope=4, passing through(7,2)

Answers

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀, y₀):

y-y₀ = m(x-x₀)

apply your data

y-2 = 4(x-6)

Answer:

y−2= −2(x−7)

Step-by-step explanation:

khan academy says its right

if f(n) = 6-2n, find f(-1)

Answers

Answer:

8

Step-by-step explanation:

f(n)= 6-2n

f(-1) = 6- 2(-1)

= 6+2

=8

Which proportion would you use to solve the following problem? A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map. A. B. C. D.

Answers

Answer:

40 km

Step-by-step explanation:

We can use a ratio to solve

1 cm       8 cm

-------- = ----------

5 km        x km

Using cross products

1 * x = 5 * 8

x = 40

40 km

[tex]\bf \large{\pink{ \implies}} \tt \: \frac{1 \: cm}{5 \: km} \: = \: \frac{8 \: cm}{x} \: \: \: \rm{\red{ (cross \: \: multiplying)}}[/tex]

[tex]\bf \large{\pink{ \implies}} \tt \:x \: = \: 40[/tex]

⇛ Distance is 40 km

consider a study conducted to determine the average protein intake among an adult population. Suppose that a confidence level of 85% is required with an interval about 10 units wide. if a preliminary data indicates a standard deviation of 20g, what sample of adults should be selected for the study?​

Answers

Answer:

made up of about 20 common amino acids. The proportion of these amino acids varies as a characteristic of a given protein, but all food proteins—with the exception of gelatin—contain some of each. Amino nitrogen accounts for approximately 16% of the weight of proteins. Amino acids are required for the synthesis of body protein and other important nitrogen-containing compounds, such as creatine, peptide hormones, and some neurotransmitters. Although allowances are expressed as protein, a the biological requirement is for amino acids.

Proteins and other nitrogenous compounds are being degraded and resynthesized continuously. Several times more protein is turned over daily within the body than is ordinarily consumed, indicating that reutilization of amino acids is a major feature of the economy of protein metabolism. This process of recapture is not completely efficient, and some amino acids are lost by oxidative catabolism. Metabolic products of amino acids (urea, creatinine, uric acid, and other nitrogenous products) are excreted in the urine; nitrogen is also lost in feces, sweat, and other body secretions and in sloughed skin, hair, and nails. A continuous supply of dietary amino acids is required to replace these losses, even after growth has ceased.

Amino acids consumed in excess of the amounts needed for the synthesis of nitrogenous tissue constituents are not stored but are degraded; the nitrogen is excreted as urea, and the keto acids left after removal of the amino groups are either utilized directly as sources of energy or are converted to carbohydrate or fat.

11. What is 6:12 in simplest form?
A. 2:1
B. 1:2
C. 12:6
D.2

Answers

The answer is B 1:2. I hope you get it right

Curtis purchased a bicycle on credit. When he received his credit card statement, he noticed several charges he did not make. What should he do?

Answers

Answer: He should call the card card company and discuss the charges and make it known that he did not make those charges. He should address each charge by the amount shown.  Once he has finished, the credit card company will call the company that sent in the request for payment and inform the company there are questions about the charges and request that the charges be removed.

.

Step-by-step explanation:

A cupboard costing Rs.16800 is depreciated at the rate of 15% per year. What will be the cost of the cupboard after 2 years.​

Answers

Answer:

Rs. 11132

Step-by-step explanation:

formula for depriciation= P(1-R/100)^T

p= principal, r=rate, t=time

Answer:

15162

Step-by-step explanation:

after 1 year= 16800*95%= 15960

after 2 year= 15960*95%= 15162

Find the sum of the arithmetic series given ai = 45, an = 85, and n = 5.

Answers

Answer:

C. 325.

Step-by-step explanation:

The last term a5 = 85

a1 = 45

Sum of n terms = n/2 (a1 + l)

So here we have n = 5, a1 = 45 and the last term l = 85

= (5/2)(45 + 85)

= 5/2 * 130

= 325.

The required sum of the arithmetic series is 325.

Arithmetic series is defined as a sequence of numbers arranged in a particular pattern.

The sum of the nth term of an arithmetic sequence is expressed as:

[tex]S_n = \frac{n}{2}[a+l]\\[/tex] where:

n is the number of terms

a is the first term

l is the last term

Given the following

a = 45

n = 5

an = l = 85

Substitute the given values in the formula above:

[tex]S_5= \frac{5}{2}(45+85)\\ S_5=\frac{5}{2}(130)\\ S_5=5 \times 65\\S_5=325[/tex]

Hence the sum of the arithmetic series is 325

Learn more here: https://brainly.com/question/21473794

Solve the given differential equation by using an appropriate substitution. The DE is of the form dy/dx = f(Ax + By + C), which is given in (5) of Section 2.5. dy/dx = 4 + (y − 4x + 6)^1/2

Answers

dy/dx = 4 + √(y - 4x + 6)

Make a substitution of v(x) = y(x) - 4x + 6, so that dv/dx = dy/dx - 4. Then the DE becomes

dv/dx + 4 = 4 + √v

dv/dx = √v

which is separable as

dv/√v = dx

Integrating both sides gives

2√v = x + C

Get the solution back in terms of y :

2√(y - 4x + 6) = x + C

You can go on to solve for y explicitly if you want.

√(y - 4x + 6) = x/2 + C

y - 4x + 6 = (x/2 + C

y = 4x - 6 + (x/2 + C

Other Questions
Question 4 (5 points)Determine the value of x.4v28V248 Purchased goods for $4,100 from Diamond Inc. with terms 2/10, n/30. 5 Returned goods costing $1,100 to Diamond Inc. for credit on account. 6 Purchased goods from Club Corp. for $1,000 with terms 2/10, n/30. 11 Paid the balance owed to Diamond Inc. 22 Paid Club Corp. in full. Required: Assume that Ace uses a perpetual inventory system and that the company had no inventory on hand at the beginning of the month. Calculate the cost of inventory as of June 30. I neeeeeeedddddd help wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?112 25m + 45 = 50 60m112 + 25 + 45m = 50m + 60112 + 25 45m = 50m + 60112 + 25m + 45 = 50 + 60m How did technological advancements change manufacturing methods duringthe Industrial Revolution? Which of the following was a famousGreek tutor?A. AristotleB BrutusCiceroD. Cassius Steven and Pradma have been happily married for 10 years. Like typical couples, they probably think that they are Ms. Weaver plans to decorate the bulletin board in her classroom. She purchased 30 sheets of construction paper for $0.30 per sheet, 5 boxes of thumbtacks for $0.70 per box, and 4 framed pictures for $6.00 per picture. How much money did Ms. Weaver spend for the items? the device that is used to measure the level of hemoglobin that is saturated with oxygen is known as Of the methods for solving systems of equations, which is best used when one equation is solved for either x or y, or can easily be solved for x or y? What erythrocyte production disorder results from an autoimmune disease associated with insufficient vitamin B12 absorption (step 6) How many grams of solute are present in 635mL of 0.450 M KBr? what are condition for formation of electrovalent bond Three less than the product of a number and six is twenty sevenWrite an equation to represent the sentence: what class of organic compound is formed when cyclopentanone reacts with ethylamine in the presence of trace acid application of printer The DEF partnership reported net income of $130,000 for the year ended December 31, 20X8. According to the partnership agreement, partnership profits and losses are to be distributed as follows in the following order: D E FSalaries $25,000 $20,000 $15,000Bonus on net income 10% ----- -----Remainder 60% 30% 10%Required:How should partnership net income for 2008 be allocated to D, E, and F? children's are disable are now called Question 14The coordinates of triangle ABC are A(2,3), B(2,-1), C(-1,-1). Describe the ordered pairs after the tranformation D3. Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction