Use the relationship among the three angles of any triangle to solve.

Two angles of a triangle have the same measure and the third angle is 66° greater than the measure of the other two.

Find the measure of each angle.

1. Measure of the top angle is (?)

2. Measure of the bottom left angle is (?)

3. Measure of the bottom right angle is (?)​

As per the Sarah buying pattern, the rate of change from 2015 to 2017 is $250

Rate of change

Rate of change refers the speed at which a variable changes over a specific period of time.

Given,

In 2015, sarah spent $800 buying lunches. In 2017, she spent $550 buying lunches.

Here we need to find the rate of change from 2015 to 2017.

While we looking into the given question, we have identified that,

Buying lunch cost for 2015 = $800

Buying lunch cost for 2017 = $550

Now, the rate of change from 2015 to 2017 is calculated by finding the difference between them,

So, rate of change is,

=> 800 - 550

=> 250

Therefore, the rate of change from 2015 to 2017 is $250

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The initial size of the bacteria culture is 33

The count of the bacteria after 10 days = 200

The count of bacteria after 20 days = 1200

The difference in time = 20 - 10

= 10 days

Then the exponential growth equation will be

1200 = 200×[tex]e^{10k}[/tex]

[tex]e^{10k}[/tex] = 1200 / 200

Divide the terms

[tex]e^{10k}[/tex] = 6

10k = ln(6)

10k = 1.79

k = 1.79 / 10

Divide the terms

k = 0.179

Use the same equation to find the initial size of the bacteria culture

200 = x × [tex]e^{10(0.179)}[/tex]

x = 200 / [tex]e^{10(0.179)}[/tex]

x = 200 / 5.99

Divide the terms

x = 33.38

x ≈ 33

Hence, the initial size of the bacteria culture is 33

The complete question is:

The bacteria count in a certain culture was 200 after 10 days and 1200 after 20 days. assume the bacteria are growing exponentially. Find the initial size of the bacteria culture

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Answer:16.e+6.18

Step-by-step explanation:

Answer:

123.00

Step-by-step explanation:

The value of x on the given sides of the rectangles is 4.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, The area of the shaded region is 39.

As the smaller rectangle is inside the whole larger rectangle,

∴The area of the smaller rectangle subtracted from the area of the whole larger rectangle is the area of the shaded region.

So, (2x - 1)(x + 3) - (x - 2)(x + 1) = 39.

2x² + 6x - x - 3 - x² - x + 2x + 2 = 39.

x² + 6x - 1 = 39.

x² + 6x - 40 = 0.

x² + 10x - 4x - 40 = 0.

x(x + 10) - 4(x + `10) = 0.

(x + 10)(x - 4) = 0.

(x + 10) = 0 Or (x - 4) = 0.

x = - 10 Or x = 4.

Now if we put x = - 10 the lengths will be negative which is inappropriate.

So, the value of x that satisfies is 4.

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Answer:

x = 5

Step-by-step explanation:

Let's say

x = #s of nickels Nina has (we are going to try to get X)

y = # of nickels Maurice has

5x + 9 < The amount Nina has

y = 2x < Amount that Maurice has

Add them both to the total, 84

5x + 9 + 5y = 84

Transfer the 9 to the other side

5x + 5y = 75

Substitute y with it's value

5x + 5(2x) = 75

5x + 10x  = 75

15x = 75

Divide

x = 5

Answer:

43

Step-by-step explanation:

4(2)-5(3)+10(5)

8-15+50

-7+50

43

hopes this helps please mark brainliest

Answer:

17/54,x=3 m=5

Step-by-step explanation:

74-126+329/2

-52+329/2

277/2

138.5

Answer:

Step-by-step explanation:

answer is:  x=9/2

Answer:

both

Step-by-step explanation:

because the first one, since the number 4 isn’t next to the parentheses then we are not multiplying so it’s actually adding so it still equals 7

Answer:

?

Step-by-step explanation:

its a litter hard too see can you get it closer??

A polynomial function with real coefficients that has the given zeros -1, 8, 3, -21 is x^4−11x^3−197x^2−297x+504.

In the given question we have to find a polynomial function with real coefficient that has the given zeros -1, 8,3, -21.

The given zeros are -1, 8,3 - 21.

Let the variable is x.

So the factor from the given zeros are

(x-1), (x+8), (x+3), (x-21)

To find the polynomial we multiply the factors to each other.

=(x-1)(x+8)(x+3)(x-21)

We firstly multiply the factor with the pair of two using the distributive property.

={x(x-1)+8(x-1)}{x(x+3)-21(x+3)}

=(x^2-x+8x-8)(x^2+3x-21x+63)

Simplifying

=(x^2+7x-8)(x^2-18x+63)

=x^2(x^2+7x-8)-18x(x^2+7x-8)+63(x^2+7x-8)

=(x^4+7x^3-8x^2)-(18x^3+126x^2-144x)+(63x^2+441x-504)

=x^4+7x^3-8x^2-18x^3-126x^2+144x+63x^2+441x-504

=x^4−11x^3−197x^2−297x+504

Hence, a polynomial function with real coefficients that has the given zeros -1, 8, 3, -21 is x^4−11x^3−197x^2−297x+504.

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Answer:

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

Reasons:

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to

Step-by-step explanation:

Answer:

in the picture

Step-by-step explanation:

Hope this helped! Solve your problem: Use the quadratic formula to solve for x.

8x²-8x-1=0

Answer:

A ) What is the slope of the line? What does this slope in this situation mean?

The equation of the line is y = -200x +3000 so the slope of the line would be -200x.

This means that as x ( Month ) increases, y ( Loan ) decreases.

B ) What is the y-intercept of the line? What does the y-intercept mean in this situation?

As stated above the equation of the line is y = -200x +3000 so the  y-intercept would be +3000.

In this case the y-intercept represents the cost of the loan before Jane's first payment.

C )  How many months will it take Jane to pay off the loan? Show your work.

It will take 15 months to pay off Jane's car loan.

On the graph we can see when x ( month ) equals fifteen, y ( loan ) equals zero. This means that it will take fifteen months for Jane to pay off the loan.

We can check this by putting it into our equation...

y = -200( 15 ) +3000 = 0

Hope this helps! :)

The equation that illustrates the identity property of multiplication is (a + bi) × 1 [tex]=[/tex] (a [tex]+[/tex] bi) , the correct option is (d) .

In the question ,

Four equations are given , we need to find the equation that represents the identity property of multiplication .

we know that the identity property of multiplication states that the product of any number and 1 is the same given number .

For Example : the product of a number 'a' and 1 is = a , that is a×1 = a .

So , by the applying the definition of Identity property of multiplication we get that the equation that models the identity property is

(a + bi) × 1 [tex]=[/tex] (a [tex]+[/tex] bi)

Therefore , The equation that illustrates the identity property of multiplication is (a + bi) × 1 [tex]=[/tex] (a [tex]+[/tex] bi) , the correct option is (d) .

The given question is incomplete , the complete question is

Which equation illustrates the identity property of multiplication?

(a) (a + bi) × c = (ac + bci)

(b) (a + bi) × 0 = 0

(c) (a + bi) × (c + di) = (c + di) × (a + bi)

(d) (a + bi) × 1 = (a + bi)

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Answer: x=-14

Step-by-step explanation:

The correct answer is  H0 : Living in Northern or southern California is not associated with watering habits and  Ha : Living Northern or southern California is associated with watering habits.

Given that,

H0 : Living in Northern or southern California is not associated with watering habits.

Ha : Living Northern or southern California is associated with watering habits.

In independent test in that test we Check the two variables are independent or not. The chi square can be used for any variable. Both the group (independent) and test variable(dependent)   can be nominal, ordinal, or grouped interval.

Therefore, The difference between living in Northern or Southern California and the difference between living in Northern or Southern California is that the former is related to watering practices.

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Answer:

[tex]-2[/tex]

Step-by-step explanation:

The perpendicular slope is the opposite of the reciprocal of the original slope. So, let's find the slope of this line! I will put it in slope-intercept form (y = )

[tex]x-2y=-8\\-2y=-8-x\\y=4+\frac{1}{2} x\\y=\frac{1}{2} x+4[/tex]

Here, I see that the slope of the line is [tex]\frac{1}{2}[/tex]. The reciprocal of [tex]\frac{1}{2}[/tex] is 2. The opposite of 2 is [tex]-2[/tex]. The slope of the perpendicular line is [tex]-2[/tex]!

Answer:

Step-by-step explanation:

11 = D. Yes ; -8

12 = A(n) = 12+ (n-1) 11 ;166 milliliters

13 = The first plot graphed is located nearest 50 to resemble the initial charge.

The last plot graphed should be located at the top of the graph vertical to 8 - the maximum hours he'll work.

Therefore, the answer is C.

14 = you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point

Under any circumstances, the imaginary number i = √-1. We use i to represent the square root of a negative number because negative numbers cannot have square roots (ex: 2^2 = 4, -2^2 = 4).

So, we have a complex number 2 + i. The absolue value? Simple.

[tex]|2 + i|\\2 + |\sqrt{-1} |\\2 + \sqrt{1} \\2 + 1\\3[/tex]

If you need an explanation, look at it this way. The number cannot exist. Yet let's assume it did exist for a moment. What would be the absolute value of a negative square root if they could exist? Well, it would be the same as the square root of that number's opposite, it's positive counterpart!

So, what is the positive counterpart of -1? That would be 1. What's the square root of 1? 1! So, why don't we eliminate these steps? Instead of assuming √-1 can exist and then finding the absolute value of that, just skip those steps and instead take √1, or just 1.

So finally: |√-1| = 1

The standard error of the sample proportion bringing their own personal computers to campus is 0.045

The standard error of a sample proportion is calculated as:

[tex]SE=\sqrt{\frac{p(1-p)}{n} }[/tex]

with p=0.4 and n=120:

[tex]SE=\sqrt{\frac{0.4(1-0.4)} {120}}[/tex]

[tex]SE=\sqrt{0.002}[/tex]

[tex]SE=0.045[/tex]

The standard error of the sample proportion of students bringing their own computer is 0.045.

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Answer:

Person 2 jogs faster as compared to person 1.

The time taken by the faster jogger finish a five-kilometer race will be, 27.5 minutes.

Step-by-step explanation:

speed = distance/time

The equation is, y = x-2

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the question, we have

y increases by 1 unit with 1 unit increase in x.

The equation is, y = x-2

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer:

It approximately dropped 0.027777 per hour.

Step-by-step explanation:

First, we calculate the decrease.

Decrease = 11/40 = 0.275

Then,  we calculate the time interval.

From 10 pm to 7:54 hours will be 9.54 hours

Time interval= (9 + 54/60) hours

Time interval=9.9 hours

Finally, we calculate how much it dropped each hour

0.275/9.9 ≈ 0.027777

So it approximately dropped 0.027777 per hour.

Answer:

7:54 A.M to 10 P.M is = 14 hrs and 6 mins

60 mins = 1 hour

therefore 6 mins = 0.1 hour

14 hrs plus 0.1 hrs = 14.1 hours

if 14.1 hrs = 11/40

1 HR = x

cross multiply

14.1x = 11/40

divide both sides by 14.1

14.1x / 14.1 = 11/40 / 14.1

Answer:

not a monomial

Step-by-step explanation:

monomial

Prefix mono- means 1 so, monomial means one term

This has more than one term so it’s not a monomial

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Second option is correct 0.04772.

The probability of a weight between 420 kilos and the mean of 400

kilos = 0.4772

Mean of a normal probability distribution is μ = 400 kilos

And standard deviation σ = 10 kilos

Let x be the variable in kilos.

X is between 400 kilos and 420 kilos

P( 400 < X < 420 ) = P ( 400 -  μ < X -  μ < 420 -  μ)

= P ( (400-μ)/σ < (X-μ)/σ < (420-μ)/σ )

= P ( (400 - 400) /10 < Z < (420 - 400)/10 )

= P ( 0 < Z < 2 )

= 0.4777 from the table appendix B1.

The link for the appendix table B1 :

www.webassign.net%2Faswsbe13%2Fappendix-b.pdf&usg=AOvVaw3QlkaDTdGZ1Z01YZPYCL6h

The probability of a weight between 420 kilos and the mean of 400

kilos = 0.4772

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Answer:

  5.5%

Step-by-step explanation:

You want the interest rate that can be compounded continuously to give $1490 from an investment of $650 after 15 years.

The formula for account value with continuously compounded interest is ...

  A = Pe^(rt) . . . . P=principal, r=interest rate, t=years

Solving for r, we find ...

  ln(A/P)/t = r

  ln(1490/650)/15 = 0.0553...

The interest rate is about 5.5%.

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