Given that triangle TRA ~ triangle NGL, find the value of x.

A. x=3.5

B. x=4

C. x=4.5

D. x=5

Answer:

yes, the answer to this question is y=2x

Answer:

60.63%

Step-by-step explanation:

Prob. of students who regularly attend = 45%

Prob. of students who don't attend = 55%

Upper Class Students who attend = 64 % of 45 %

= 0.64 × 0.45 × 100 = 28.8% = 0.288

Upper Class Students who don't attend = 34 % of 55% = 0.34 × 0.55 × 100 = 18.7% = 0.187

Total for Upper Class Students = 28.8% + 18.7% = 47.5% = 0.475

Probability that an Upper Class Student randomly selected will be attending = ( 0.288 / 0.475 ) × 100 = 0.6063 × 100 = 60.63%

Answer:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

Step-by-step explanation:

Let's call A the average verbal reasoning score, B the average quantitative reasoning score and C the analytical writing score.

Then, if the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points, we can write the following equation:

B = A + 1.1     (eq. 1)

At the same way, if the average verbal reasoning score exceeded the analytical writing score by 143.2 points, we can write the following equation:

A = C + 143.2   or

C = A - 143.2          (eq. 2)

Finally, the sum of the three average scores was 315.1, so:

A + B + C = 315.1              (eq. 3)

Then, replacing equation 1 and 2 in equation 3:

A + B + C = 315.1

A + (A + 1.1) + (A - 143.1) = 315.1

Solving for A:

A + A + 1.1 + A - 143.2 = 315.1

3A = 315.1 - 1.1 + 143.2

3A = 457.2

A = 152.4

Replacing the value of A in equation 1 and 2:

B = A + 1.1 = 152.4 + 1.1 = 153.5

C = A - 143.2 = 152.4 - 143.2 = 9.2

So, the average score for each category is:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

Answer:

Vertical.

Horizontal.

Diagonal (often called "cross-products")

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

You take 80 and multiply it by .3 which gives you 24

Answer:

41/35

Step-by-step explanation:

Simplify the following:

4/7 + 3/5

Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:

(5×4)/35 + (7×3)/35

5×4 = 20:

20/35 + (7×3)/35

7×3 = 21:

20/35 + 21/35

20/35 + 21/35 = (20 + 21)/35:

(20 + 21)/35

| 2 | 1

+ | 2 | 0

| 4 | 1:

Answer: 41/35

Answer:

AC = 14.65

Step-by-step explanation:

arc length = 2 * pi * R * (theta /360)

= 2 * pi * (24/2) * (70/360)

= 14.65 (ANS)

Step 1) Divide up the figure

In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.

Step 2) Find the area of each shape in the figure

Triangle: A = 1/2 x 6 x 9 = 27

Small rectangle: A = 3 x 18 = 54

Large rectangle (center): A = 8 x 14 = 112

Large rectangle (bottom): A = 5 x 9 = 45

Step 3) Add the area of each shape together

A = 27 + 54 + 112 + 45 = 238 square inches

Hope this helps! :)

Answer:

247 square inches

Step-by-step explanation:

Divided the diagram into a triangle and three rectangles.

The triangle is 6 in * 6 in = 36 square inches

1st rectangle is 4 in * 3 in = 12 square inches

2nd rectangle is 11 in * 14 in = 154 square inches

3rd rectangle is 9 in * 5 in = 45 square inches

Therefore, 36+12+154+45 = 247 square inches

Answer:

work is shown and pictured

Answer:

8cm

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

its is linear I know this for a fact I had this same question

Answer:

-40

Step-by-step explanation:

Use PEMDAS

3 – 7 • 5 + 2 • 4

Multiply first:

3-35+8

3-43

-40

Hope this helps! Please mark brainliest :)

Answer:

Step-by-step explanation:

3-7 times 5 + 2

3-35+2

-32+2

-30

Answer

x  =  − 17 /10  +  I/ 10

( Fraction symbol = /)

Answer:

D

Step-by-step explanation: Plato test

Answer:

C

Step-by-step explanation:

The negative numbers should be the beginning ones because those are less than the positive ones. This eliminates D because it starts with 2/3, which isn't negative. -√3 is between -2 and -1, so it is greater than -5. This means that it should come after -5 in the sequence. The only option we are left with now is C. Hope this helps!

Answer:

15 and 12

Step-by-step explanation:

Set the two sides as x and y

y=x-3

P = 2w+2l

2x+2(x-3) = 54

4x-6=54

4x=60

x=15

y=12

Answer:

0

Check my steps.

Step-by-step explanation:

So there are 125 total in the driver safety course.

There are 28 accidents.

28 / 125

0.224

So... when you round it down, you get 0.

Answer:

468 square feet; Option C

Step-by-step explanation:

We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:

Area ⇒ 15 * 10 = 150 ft^2

Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:

Area ⇒ 9 * 10 = 90 ft^2

This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2

Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2

This means the surface area of the right, triangular prism is:

150 + 90 + 120 + 108 = Answer: 468 square feet

Answer:

5.18 pounds per square inch

Complete question:

If the pressure is 6 pounds per square inch when the temperature is 440° F,find  the pressure exerted when the temperature of the gas is 380°F.

Step-by-step explanation:

According to the Gay Lussac's Law:

[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]

where, P and T are the pressure and temperature of an enclosed ideal gas.

Given:

Initial pressure [tex]P_1[/tex] = 6 pounds per square inch

Initial Temperature [tex]T_1[/tex]=440° F

Final Temperature [tex]T_2[/tex]=380° F

Final Pressure [tex]P_2[/tex]=?

Substituting all values in the formula

[tex]\frac{6}{440} =\frac{P_2}{380}[/tex]

[tex]P_2[/tex] = [tex]\frac{6\times380}{440}[/tex]

[tex]P_2[/tex]= 5.18pounds per square inch

Answer:

75 cm

Step-by-step explanation:

I used the formula and my calculator. Hope this helps! if you are still confused please comment!

Answer:

Step-by-step explanation:

Answer:

a(10 - 13)

Step-by-step explanation:

The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.

Answer:

correct

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

Let's say we had [tex]2^{4}[/tex] we would say 2 to the power of 4.

2 is the base and 4 is the exponent.

Answer:

false

Step-by-step explanation:

the number at the bottom of the exponent is called a base. for example, if your exponent is 2^3, as shown in the image, the 2 would be the base and the 3 would be the power :)

Answer:

68 miles

Step-by-step explanation:

Distance biked on the first five days =67,60 ,69 ,68 , and 70 miles

Let the distance biked on the sixth day=x miles

We want his average for the 6 days =67 miles per day

Therefore:

[tex]Average=\dfrac{67+60+69+68+70+x}{6} \\67=\dfrac{334+x}{6}\\$Cross multiply\\67*6=334+x\\402=334+x\\x=402-334\\x=68 miles[/tex]

He needs to bike 68 miles on the sixth day to get an average of 67 miles per day/

Answer: 16%

Step-by-step explanation:

Answer:

Sample answer from Edm and Plato

Step-by-step explanation:

Answer:

39.10%

Step-by-step explanation:

The given timeout distributions are:

Exp (1/10), Exp (1/12)

The equation to use is the following:

F (x) = 1 - e ^ (- a / b); x> 0

So the probability is:

P (food has not arrived after waiting 25 minutes | R) = e ^ (- 10/10) = 0.3679

P (food has not arrived after waiting 25 minutes | S) = e ^ (- 12/15) = 0.2865

So:

P (food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) + (food has not arrived after waiting 25 minutes | S) * P (S)

Replacing:

P (food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 + 0.2865 * 2/3 = 0.3136

However:

P (R | food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) / P (food has not arrived after waiting 25 minutes)

P (R | food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 / 0.3136 = 0.3910

It means that the probability is 39.10%

Answer:

39.10%

Step-by-step explanation:

Answer:

[tex]1078[/tex]

Step-by-step explanation:

[tex]9800 \times \frac{11}{100} = 1078[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

630

Step-by-step explanation:

259 rounded to the nearest 10 is 260

372 rounded to the nearest 10 is 370

260+370=630

Hope this helps!

Answer: 16/25

Step-by-step explanation:

Answer:

The answer is 16/25

Step-by-step explanation:

Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.

When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.

*I also got it right on the edge quiz