Guys plz help Answer this QUESTION!!!

pychu [463]

Answer:

Solution,

Theorem:

The angle bisector theorem states that if a ray bisects an angle of a triangle,then it divides the opposite side into two segments that are proportional to other two sides.

By the theorem,

$\frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3$

hope this helps...

Good luck on your assignment..

3 0

3 years ago

Read 2 more answers

Help fast ASAP for 10 points

Zina [86]

Answer:

PQRS → P'Q'R'S'

Hope this helps you.

8 0

3 years ago

Read 2 more answers

Dishwashers are on sale for 25% off the original price ( d ), which can be expressed with the function p ( d ) = 0.75d. Local ta

Marta_Voda [28]

Price of the dishwashers on sale are represented with the function: p ( d ) = 0.75 d ( 100 % - 25 % = 75 % or 0.75 d ): After that we have additional 14 % on the discounted price ( 100 % + 14 % = 114 % OR 1.14 ): C ( P ) = 1.14 P. Finally, c ( p ( d ) ) = 1.14 * 0.75 d = 0.855 d. Answer: C ) c [ p ( d ) ] = 0.855 d Hope I helped! :) Cheers!

8 0

3 years ago

The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year.

AlexFokin [52]

The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

<h3>How to graph a function?</h3>

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

Consider certain values of x
Substitute x values in the given function to obtain y values
Plot the x and y values in the graph
Join the points to know the variation.

<h3>Calculation:</h3>

It is given that,

f(x) = 200 × $(1.098)^x$

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0 2 4 6 8 10

f(x = 0) = f(0) = 200 × $(1.098)^0$ = 200

f(x = 2) = f(2) = 200 × $(1.098)^2$ = 241

f(x = 4) = f(4) = 200 × $(1.098)^4$ = 291

f(x = 6) = f(6) = 200 × $(1.098)^6$ = 350

f(x = 8) = f(8) = 200 × $(1.098)^8$ = 423

f(x = 10) = f(10) = 200 × $(1.098)^1^0$ = 509

So,

(x, f(x)): (0, 200) (2, 241) (4, 291) (6, 350) (8, 423) (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × $(1.098)^t$

⇒ $(1.098)^t$ = 2

⇒ log $(1.098)^t$ = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

Learn more about the function and its graph here:

brainly.com/question/4025726

#SPJ1

3 0

2 years ago

6.1.3 quiz pythagorean theorem question 9

Olegator [25]

Answer: 14.73

Step-by-step explanation:

The given triangle is a right angle triangle.

EF^2 + DF^2 = ED^2

The hypotenuse is |ED| while the two shorter legs are |EF| and |DF|.

We can then apply the Pythagoras Theorem to find the length of EF.

(EF)^2 + (DF)^2 = (ED)^2

(EF)^2 + (12)^2 = (19)^2

(EF)^2 + 144 = 361

(EF)^2 = 361 - 144

(EF)^2 = 217

EF = 14.73

6 0

3 years ago