Analyzing angle pair relationships

Angle 3 and 4 are ____.

The equation _____ can be used to solve for x.

m 5 = __

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.

The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

Read more about leading coefficient at:

https://brainly.com/question/19624646

#SPJ6

Answer:

20 minutes

Step-by-step explanation:

If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.

Answer:

20 minutos

Step-by-step explanation:

De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.

Así que sería 5 + 15 = 20 minutos

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer:

Step-by-step explanation:

Note : In multiplication if the bases are same u can add their exponent while in division if the bases are same u can subtract their exponent.

Hope this helps u !!

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Answer:

1/12

Step-by-step explanation:

i belive this is the answer

Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.

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

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

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

[tex]|x - 72| \leq 2[/tex]

Solving the inequality:

[tex]x - 72 \geq >= -2[/tex]

[tex]x \geq 70[/tex]

And

[tex]x - 72 \leq 2[/tex]

[tex]x \leq 74[/tex]

Thus, the range of temperatures is between 70ºF and 74ºF.

A similar problem is given at https://brainly.com/question/24514895

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

Answer: 32x-48 should be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4(-8x + 12)

= -4 × (-8x) + (-4) × 12

= 32x + (-48)

= 32x - 48 (Ans)

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

Answer:

2300 apples

Step-by-step explanation:

2500 - 200 = 2300

Answer:

2300

Step-by-step explanation:

2500 - 200 = 2300

Note: "have left" means the answer after subtraction.

option

(c) is correct

Step-by-step explanation:

jsjsjd

Answer:

The answer you're looking for is 8,200cm

Step-by-step explanation:

Answer:

[tex]A=69.11\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]

Put all the values,

[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]

So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

Answer:

a) 9yd

b) 12ft

Step-by-step explanation:

a) find the square root

b) divide 48 by 4

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

Answer:

87.9°

Step-by-step explanation:

arctan(50/40)=87.9°

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]

[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]

[tex]62.28=0.75x-0.069375x[/tex]

[tex]62.28=0.680625x[/tex]

[tex]x=\frac{62.28}{0.680625}[/tex]

[tex]x=91.50[/tex]

Hence, the original price was  $ 91.50.

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

Answer:

We have to:

"All of the plots are the same length, x"

L = x

"and the width of each plot is 5 yards less than the length"

W = x-5

"The total number of plots Liam owns is 20 more than the length of a plot"

20 + x

"the total area of all the plots Liam owns is 2,688 square yards"

A = (20 + x) * (x) * (x-5)

A = (20x - 100 + x ^ 2 -5x) * (x)

A = (x ^ 2 + 15x - 100) * (x)

2688 = (x ^ 3 + 15x ^ 2 - 100x)

x ^ 3 + 15x ^ 2 - 100x = 2688

x ^ 3 + 15x ^ 2 - 100x - 2688 = 0

Answer:

*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.

Answer:x^3+15x^2-100x-2,688=0

Step-by-step explanation:

Answer:

5=26

14=17

n=1

31n=31*1=31

======================================================

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

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

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

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

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3