Use the relationship between the angles in the figure to answer
the question.
Which equation can be used to find the value of x?

Answer:

[tex] = 9 {g}^{20} {p}^{16}

[/tex]

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Answer:

500

Step-by-step explanation:

here

principal(p)=2500

rate (R)=5%

Time (T)=4 years

now,

Intrest (I)=(P×T×R)/100

(2500×5×4)/100

=Rs 500

After 4 years the investment of $2500 will be $3051.02.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,

P = Initial amount

R = Annual rate of interest as a percentage

n = Number of compounding periods in a given time

Given, 2500 dollars is invested at an interest rate of 5% compounded monthly.

From the above formula of compound interest

Total amount  A = P(1 + r/n)^nt

In our case

p = 2500

r = 5%

t = 4 years

Thus,

Total amount = 2500(1 + 5/12)^12 * 4

Total amount = 3051.02

therefore, this investment will be worth $3051.02 after 4 years.

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Answer:

4(x+3) -3 (x+2)

Step-by-step explanation: I hope that helps :)

Answer:

13 - 5x

Step-by-step explanation:

5-2(3x-4)+x

Final result:

 13 - 5x

Step by step solution:

Step 1:

Equation at the end of step 1:

(5 -  2 • (3x - 4)) +  x

Step  2:

Final result :

 13 - 5x

Answer:

72

Step-by-step explanation:

because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72

Answer:

2 solutions

Step-by-step explanation:

Well to find out how many solutions it has, you have to find the discriminant:

b^2 - 4ac

a = 2

b = 7

c = -3

Discriminant = 49 + 24 = 73

Discriminant is > 0 so there are 2 solutions

Answer:

2 solutions

Step-by-step explanation:

the quadratic would have 2 solutions .

Answer:

The unknown side (x) is 11.9 ft.

Step-by-step explanation:

x= 34.6 - 5.2 - 11.1 - 6.4 = 11.9

x = 11.9

Answer:

x=11.9ft

Step-by-step explanation:

[tex]5.2ft + 6.4ft + 11.1ft + xft = 34.6ft \\ |the \:addition \: of \: all \: the \: length \:would \: give \: us \: the \: the \: perimeter \: 34.6ft | \\ \\ 22.7ft + xft = 34.6ft \\ |collect \: like \: terms| \\ xft = 34.6ft - 22.7ft \\ xft = 11.9ft |final \: answer| [/tex]

Answer:

The angle is "27 and 63".

Step-by-step explanation:

Let A and B are two angles, in which  A is " [tex]\frac{1}{2}[/tex] " complementary angles  and B be is another complementary angle.

Condition of complementary angle :

[tex]A+B =90 ......(i)[/tex]

Solution:

[tex]\ A = \ 3B - 18 \\\\ \ put \ the \ value \ of \ A \ in \ equation.....(i) \\\\ \ Equation: \\ \\\Rightarrow \ A\ +\ B \ =\ 90 \\\\\Rightarrow \ 3B\ -\ 18 \ + \ B \ = \ 90 \\\\\Rightarrow \ 4B \ = \ 90 +18 \\\\\Rightarrow \ 4B = 108 \\\\ \Rightarrow B = \frac{108}{4} \\\\ \Rightarrow B \ = \ 27\\[/tex]

[tex]\ put \ the \ value \ of \ B \ in \ equation (i).\\\\ \ Equation: \\\\\Rightarrow A+B=90\\\\\Rightarrow A+27=90\\\\\Rightarrow A=90-27\\\\\Rightarrow A= 63[/tex]

Step-by-step explanation:

6x + y = 4x + 11y

6x-4x=11y - y

-2x=10y

Answer = -2x=10y

Answer:

B

Step-by-step explanation:

Answer:

(x−4)^2+(y−1)^2=25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, assuming that the cards are numbered 1, 2, 3, 4 and 5, then the probability of getting 6 is zero, because there's no card with such number.

Remember that a simple probability is a ratio between the possible events and the total number of outcomes. In this case, the total number of outcomes is 5 and the events are zero, because there's no card with 6.

Answer:

2/12

Step-by-step explanation:

Answer:length is 24

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

................

Answer:

A. 144

Step-by-step explanation:

as the question says, the pattern is going by multiple of two. 9 * 2 is 18, 18 * 2 is 36, 36 * 2 is 72, 72 * 2 must be 144.

Answer:

The answer is irrational

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].

The given parameters:

[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}[/tex]

The difference between the two fractions is calculated as follows;

[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}\\\\= \frac{x + 5}{x + 2} - \frac{x+ 1}{x(x + 2)}\\\\[/tex]

The lowest common multiple (L.C.M) of the two denominators = x(x + 2)

[tex]= \frac{x(x + 5) - (x + 1)}{x(x + 2)} \\\\= \frac{x^2 + 5x - x - 1}{x^2 + 2x} \\\\= \frac{x^2 + 4x - 1}{x^2 + 2x}[/tex]

Thus, the difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].

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Answer:

10.4

Step-by-step explanation:

If you add all of these up and divide by 5 you get 10.4 which is the average value.

Answer:

D

Step-by-step explanation:

(11+10+9+12+10)/5= 10.4

Answer:

340 units^2

Step-by-step explanation:

B=(8)(5)=40

40*2=80

h=10 and P=2(5)+2(8)=10+16=26

80+(10)(26)=80+260=340

Therefore, 340 units^2

I hope this helped and have a good rest of your day!

Answer:

Since there is one peak, we can call this unimodal. As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar

40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A histogram is a bar graph-like representation of data that buckets a range of classes into columns along the horizontal x-axis.

The vertical axis  was represented by number of school students.

The horizontal axis is represented by number of texts.

The As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar

At 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students

Hence, 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.

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The measure of DF​ is 100°.

Two triangles are congruent if they satisfy the 5 conditions of congruence. They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

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Answer:

Beki's jersey number is 34. She last 12 minutes

Nick's jersey number is 20. He last 10 minutes

Carmen's jersey number is 2. She last 14 minutes

Joey's jersey number is 13. He last 11 minutes

Step-by-step explanation:

• The sum of the digits on Beki's jersey number is 7. Therefore, Beki's number is necessarily 34 (3+4 = 7)

• Nick's jersey number is 18 greater than Carmen's. Therefore, Nick's jersey number is 20 and Carmen's jersey number is 2 (2 + 18 = 20). If Carmen's jersey number was 13, 13+18 = 31 which is not included in the options. If it was 20, 20+18 = 38 is not included either.

• From previous items, Joey's jersey number is 13

• The runner with the lowest jersey number also ran the slowest time. Therefore, Carmen last 14 minutes

• Nick finished exactly 2 minutes faster than Beki. Therefore, Nick's time is 10 minutes and Beki's time is 12 minutes, because from the remaining options (10, 11 and 12) this is the only combination 2 minutes apart.

• From previous items, Joey's time is 11 minutes

Answer:

B

Step-by-step explanation:

The statement describes the data is " There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold". Option B is correct.

Generally, a scatter plot is simply defined as a collection of dots drawn on two axes, horizontal and vertical.

In conclusion, observing a scatter plot of the relationship between the outside temperature and the number of cups of hot chocolate sold at an event, we see There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.

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Answer:

Hi there!

The following answers are:

14: to determine whether or not the slopes are perpendicular to one another is the negative reciprocal. In other words, if the first slope is m, the perpendicular slope is -1/m

to determine whether or not the slopes are parallel, the slopes are the same. In other words, if the first slope is m, then the parallel slope is m

So in other words: 1. perpendicular 2. neither 3. perpendicular 4. parallel

15: There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

16: Dilation is the transformation that changes the size of a figure.

Answer:

13. It says 13c so I am thinking there was 13a and 13b so I can't really answer that.

14.

 1. perpendicular.

  2.parallel.

  3. neither.

  4. parallel.

15. rotation, reflection, glide reflection and translation.

16. dilation.

Step-by-step explanation:

#14 you just need to use numbers to figure it out. for example 1. lets say the starting point is (0,2) m=3     you will go 3 squares up and one square right and end up at   (5,1)  but where for m=-1/3 you will go 1 square down and three squares right. You can do this until you have lines and see from the image you get whether it is perpendicular, parallel or neither.

#15 and 16 this are what I think are the answers but try checking it out online too. You might find the answers you are looking for there.

Answer:

(x+3)(2x^2+5)

Step-by-step explanation:

Answer:

2x³ + 6x² + 5x + 15=(x+3)(2x²+5)

Step-by-step explanation:

2x³ + 6x² + 5x + 15=

=(2x³ + 5x) +(6x²+ 15)

=x(2x²+5)+3(2x²+5)

=(x+3)(2x²+5)

Answer:

170°

Step-by-step explanation:

Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.

A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.

Therefore the angle at Chicago is  C.

From cosine rule:

c² = a² + b² - 2ab × cos (C)

2ab × cos (C) = a² + b² - c²

cos (C) = (a² + b² - c²) / 2ab

Substituting:

cos (C) = (1744² + 714² - 2451²) / 2×1744×741

cos (C) = -0.986

C = cos⁻¹ (- 0.986) = 170°

Answer:

Smart phone sales since 1990: exponential

Throwing a baseball in the air: quadratic

Population of a colony of feral cats: exponential

Grade on a test compared to hours of studying: linear

Half of a pesticide: exponential

Driving at a constant rate of speed: linear

Answer:

Step-by-step explanation:

9x + 25 = 88

9x = - 25 = 88

9x = - 63         (divide both sides by 9)

x = - 7

CHECK:

9x + 25 = 88

9 (-7)  = 88 - 25

- 63 = - 63

get the total units made:

170 + 165 + 149 + 157 + 181 = 822 units.

Multiply by pay:

822 x 0.12 = $98.64