Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Please only answer if your sure

The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.

To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:

Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:

(5x - 2x) - 4 = (2x - 2x) + 20]

Simplifying:

3x - 4 = 20

Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:

(3x - 4) + 4 = 20 + 4

Simplifying:

3x = 24

Finally, solve for x by dividing both sides of the equation by 3:

(3x)/3 = 24/3

Simplifying:

x = 8

Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.

To know more about  "equation."  here

https://brainly.com/question/29174899

#SPJ2

Full Question-

Solve for x in the given equation  5x-4  =  2x+20​

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

Answer:

37.7 inches

Step-by-step explanation:

Formula of circumference:

[tex]2\pi r[/tex]

r = radius

In the current case,

radius is 6 inches

Hence,

circumference=

[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]

≅ 37.7 inches

Feel free to mark it as brainliest

Answer:

9

Step-by-step explanation:

Answer:

9 clients ran at least 2 laps

Step-by-step explanation:

5 clients ran 2 laps, and 4 clients ran 3 laps

Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

Answer:

1 hour is 60 min so

90 min = 1 hour and 30 min

or 1.5 hours

9514 1404 393

Answer:

  -0004.00

Step-by-step explanation:

The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...

  slope = rise/run = -4/1 = -4

Answer:

Step-by-step explanation:

Answer: C. Daphne's test score is 2.50 standard deviations above the average test score of students in the course.

Step-by-step explanation: That's what Z-score is

Answer:

70 + 95 = 5(14 + 19)

70 + 95 = 5(14 + 19)

gcf = 5

Step-by-step explanation:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165                                                                                                 Hope this helps! Please give me brainly!                                                                                                                                                                                                                

Answer:

Not to conclude that the drug is safe, when, in fact, it is safe.

Step-by-step explanation:

A type ii error is an error that occurs in a hypothesis testing when a person goes ahead to accept a null hypothesis when it is actually false and should be rejected.

To continue, here are the hypothesis:

H0: the drug is unsafe

H1: drug is safe.

A type ii error was committed here because H0, which is the null was accepted and it was concluded that the drug was unsafe, When in fact it should have been rejected. The conclusion should have been that the drug was safe.

Answer:

h s m s dhoni bold sin men farhan akhtar ne

Answer:

is this statistics? i will change my answer once u explain to me thank you.

Step-by-step explanation:

Answer:

Its infinite

Step-by-step explanation:

Answer:

i think its c im not sure

Step-by-step explanation:

Answer:

52°

Step-by-step explanation:

180-112=68

120-68=52

The size of the angle marked x is 52°.

Given that a hexagon and parallelogram share the same one vertex and the angle of the parallelogram is 112°

To determine the size of the angle marked x by  utilizing the properties of a regular hexagon and the given angle of 112°.

A regular hexagon has interior angles measuring 120° each. Since the hexagon is regular, all six interior angles are congruent. We can divide the hexagon into six equal triangles, each having an angle of 120°.

In parallelogram, the opposite angles are congruent  and the sum of adjacent angles is 180°.

The parallelogram adjacent to the hexagon shares the same vertex as the hexagon's interior angle.

Let the angle adjacent to 112° in parallelogram be a and a is adjacent to angle x in hexagon,

By using parallelogram property gives,

a + 112° = 180°

Subtract 112° from both the sides, gives,

a = 68°

x and a form one angle of the hexagon which is equal to 120° gives,

x + a = 120°

Substitute the value of a = 68° in the above equation

x+ 68° = 120°

Subtract 68° from both the sides, gives,

x = 52°

Hence, the size of the angle marked x is 52°.

Learn more about angles and polygons, click here:

https://brainly.com/question/27331337

#SPJ2.

Answer:

x = 6 ± 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

x² - 12x = 39

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 6)x + 36 = 39 + 36

(x - 6)² = 75 ( take the square root of both sides )

x - 6 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 6 to both sides )

x = 6 ± 5[tex]\sqrt{3}[/tex] ← solutions in exact form

Answer:

x = 6 ± 5* OR 6 - 5*

Step-by-step explanation:

In decimal form it would be either 14.66025403... or -2.66025403

Hope this helps!

Answer:

960

Step-by-step explanation:

You have to figure out what 1/4th of 640 is, which is 160.

It says that number is 1/6th of boys, so you multiply by the inverse.

160x6 = 960

well since all of the girls = 4/6ths of the boys that would mean 24/24girls=16/24boys  

16/24 is 66.666666666667% of 24/24

66.666666666667% of 640 is426.666666667 but in my head i would round up so:

Approximately

427 boys and 213 girls.

Answer:

$13.75

Step-by-step explanation:

d= 9.75

43 - 3(9.75) = 13.75

Answer:

Equation: [tex]143 + g = 180[/tex]

[tex]g =37[/tex]

Step-by-step explanation:

Given

The attached figure

Required

The equation to find g and the solution

From the attached: Angles ACD, DCE and ECB lie on a straight line.

Where

[tex]ACD = 90[/tex]       [tex]DCE = 53[/tex]     [tex]ECB = g[/tex]

This means that:

[tex]ACD + DCE + ECB = 180[/tex]

[tex]90 + 53 + g = 180[/tex]

[tex]143 + g = 180[/tex]

Subtract 143 from both sides

[tex]-143 + 143 + g = 180 - 143[/tex]

[tex]g = 37[/tex]

Answer:

8 hours and 30 minutes

Step-by-step explanation:

well 6:30am monday to 6:30am tuesday would be 24 hours

plus 9 hours until 3:30pm

then subtract 30 minutes to have 3:00

so 8 1/2 hours

Answer:

13.356

Step-by-step explanation:

10/100 = 1.4

14-1.4 = 12.6

12.6*6% = 13.356

Answer:

20.00 thousand cell

Step-by-step explanation:

The problem can be solved using integration

[tex]\begin{aligned} r &=4+\int_{0}^{3} 8 e^{0.18 t} d t \\ &=4+3 \cdot\left[\frac{e^{0.18t}}{0.18}\right]_{0}^{3} \\ &=4+\frac{3}{0.18}\left(e^{0.18(3)}-e^{0.18(0)}\right) \\ &=19.9996 \end{aligned}[/tex]

[tex]\approx 20.00[/tex] thousand cells

the correct answer upto 2 decimal place.