Mathematics College

In the given figure ST | PQ, If 2PS = 3SR and ST = 9 then find PQ
pls answer.
40 points.​

Answers

Answer 1

Answer:

Ar.ofΔPST

​

=

4

9

​

Step-by-step explanation:

In figure ST || QR

and PS= 3 cm & RS= 4cm

In ΔPST & PQR

QPR=∠TPS [Common]

∠PRQ=∠PST [corresponding]

ΔPQR∼ΔPST [AA similarity]

Now

In similar triangles ratios of the area of triangles is equal to the ratio of the square of corresponding sides.

Ar. ofΔPRQ

Ar.ofΔPST

​

(

3+4

3

​

)

2

=

49

9

​

Hence [

Ar.ofΔPRQ

Ar.ofΔPST

​

=

49

9

​

]

Related Questions

Which number is a perfect cube?
03
O 15
064
0 567

Answers

A perfect cube is 64

A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments

Answers

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

The base of a trangle with a height of 7 units is represented by the formula b+2/7A. The base or a triangle is less than 10 units. Write and solve an Inrquality that represents the possible area A of the triangle

Answers

Step-by-step explanation:

hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve

Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.

(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?

Answers

Answer:

7 gal/min * 14 min = 98 gallons

Step-by-step explanation:

Write an equation in standard form of the line that passes through (-4,-4) and has the slope -3/2

Answers

Answer:

y=-1.5x-10

Step-by-step explanation:

standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4

y=-1.5x-10

You get paid $10 an hour. How many hours do you gotta work till you make $5000

Answers

Answer:

500 hrs equal to 5000 dollars

Rodney and Josiah each bought a package of the same kind of cookies at
the store. Rodney ate 1/2 package of cookies on Monday and 1/3 of the same package
on Tuesday. Josiah 5/12 ate of his package on Monday and 1/2 of the package on
Tuesday. Who ate more? How much more?

Answers

9514 1404 393

Answer:

  Josiah ate 1/12 package more

Step-by-step explanation:

Each of them ate 1/2 package on one of the days. On the other day, Rodney ate 1/3 = 4/12 of the package, and Josiah ate 5/12 of the package.

Josiah ate 5/12 -4/12 = 1/12 more of the package of cookies.

please help this is for my study guide thanks! ​

Answers

Answer:

-23/40, 9/24, 20/32, 7/8, 10

Step-by-step explanation:

3+2-1+[(5+2-3+10-4)+(2+7-6):(5+2-8)+3]

Answers

Answer:

= 14/1

= 14

Step-by-step explanation:

a. At 9am, the temperature was 34 degrees be
At 8pm, it dropped 6 degrees. What was the ending temperature?
b. At 6am, the temperature was 65 degrees above zero, by 2pm it dropped 17
degrees. At 6pm it dropped another 10 degrees. What is the ending
temperature?

Answers

Answer:

hi I need help

Step-by-step explanation:

Help?

Slope= 9, (-5,2)

Answers

If an equation had a slope of 9 and went through the point (-5, 2) then the equation would be:

y = 9x + 47

Explanation: slope intercept equation is represented by y = mx + b. M represents slope and B represents the y-intercept (which is the place where the graph crosses the y-axis.) So using the info we know about the graph going through (-5, 2) and that the slope is 9 (or m = 9) then we could determine that the y-intercept is 47. Now, using everything we have found thus far, we can fill in the slope intercept equation.

The graph is shown below:

at what ordered pair do the lines x=4 and y=-3 intersect?

Answers

x = -4 is a vertical line. The x-coordinate will always stay the same regardless of any y-coordinate paired with it.

y = -3 is a horizontal line. Similarly, the y-coordinate will always stay the same regardless of any x-coordinate paired with it.

Therefore, they will intersect at point (4, -3).

Can someone help me with this one please

Answers

Answer:

1.)no

2.)yes

3.)yes

4.)no

5.)yes

6.)no

7.)yes

8.)yes

9.)no

10.)no

11.)yes

12.)yes

13.)yes

14.)no

15.)no

16.)yes

17.)no

18.)yes

19.)no

20.)no

21.)yes

22.)yes

23.)yes

24.)yes

Step-by-step explanation:

i hope that helps..

Create and solve another problem about jeremiah and his lemonade stand which requires multiplying decimals

Answers

Answer:

Step-by-step explanation:

Hey ! Can anyone help with this question please and thanks

Answers

Answer:

x=9

Therefore angles 7x-4 = 6x-4 = 59 degree

Step-by-step explanation:

7x-4 = 6x-4    Findings; alternate angles

                      Although any coefficient angles can be set = to each other.

7x-6x-4 = +5  Subtract 6x from both sides

x -4 = 5

x = 5+4           Add 4 to each side

x = 9

Find the angle degree

6(x) + 5 = 7(x) - 4    Plug 9 in to x

6(9) + 5 = 7 (9) - 4

54 + 5 = 63-4

59 = 59

x = 59 degree.

Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a) Her mother has breast cancer but she doesn't. O b) She has breast cancer. c) Her sister has breast cancer but she doesn't. d) Health insurers can never discriminate based on genetic information in this way.

Answers

Answer:

i think all can be corrected. and all r right

7. A caterer knows there is one broken egg in every 3 cartons. A carton contains 12 eggs.
A caterer plans to serve 1200 eggs. What is the best estimate the number of cartons the caterer should buy?

Answers

9514 1404 393

Answer:

  103

Step-by-step explanation:

For 1200 eggs, the caterer needs ...

  (1200 eggs)/(12 eggs/carton) = 100 cartons

of unbroken eggs.

The rate of broken eggs is 1 in 3×12 = 1 in 36, so the caterer must buy 36 eggs for each 35 unbroken eggs delivered.

Then the number of cartons that must be purchased is ...

  (100 cartons)(36/35) = 102 6/7 cartons

The caterer should buy 103 cartons of eggs.

9x + 15 > 3- 3x what’s the solution and steps

Answers

9x +15 > 3-3x
Subtract 3 on both sides of the inequality sign
9x + 12 > -3x
Now subtract -9x on both sides of the inequality sign
12 > -15x
Now divide both sides of the inequality sign by -15
x > -12/15
Reduce it
x > -4/5

Look at the two graphs. Make two statements that compare/contrast the two graphs.

Answers

Answer:

both same as in the diffecnce of the number of addition

Step-by-step explanation:

Both of the graphs appear to be linear because they both go in a straight line. However, the graph on the left is positive on the one of the right is negative!

solve pls brainliest

Answers

Answer: 8>a

Step-by-step explanation:

If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.

HELP PLEASE
will mark brainliest

Answers

Answer: x - 3 = F

Explanation: :b

10(2x - 5) = -60
Pls

Answers

20x-50 =-60
20x=-10
X=-1/2
10 (2x - 5) = 60 (divide by 10 first on both sides)

2x - 5 = 6 (add 5 to both sides)

2x = 11 (divide by 2)

X = 5.5

7. Michael deposited $200 into his bank account. He then wrote checks for
$20 and $30. Then he deposited $40 dollars more. Which of the following
represents the changes in the value of Michael's account?
a) 200 - 20-30 + 40
b) 200 - 20 + 30 + 40
c) 200 + 20 - 30 - 40
d) 200+ 20 - 30 + 40

Answers

Answer:

a) 200-20-30+40

Step-by-step explanation:

represents the changes in the value of Michael's account is d) 200 + 20 - 30 + 40.

Step-by-step explanation:

Known :

Michael deposited $200 into his bank account, He then wrote checks for $20 and $30, Then he deposited $40 dollars more.

Asked :

Which of the following represents the changes in the value of Michael's account?

Answered :

$200 + $20 - $30

= 200 + 20 - 30 + 40.

What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom.

Answers

Answer:

Step-by-step explanation:

Face perimeter is

7.5 + 4(1.5) + 3(2.5) = 21 ft

Perimeter wall area

21(1.5) = 31.5 ft²

Face area (x2 for front and back)

2(7.5(1.5) + 2.5(1.5)) = 30 ft²

Total surface area

31.5 + 30 = 61.5 ft²

Write the equation of the line that passes through the points (3,-2) and (-2,8).

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the slope (m) of line passing through points (3 , -2) and (-2 , 8) :

[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \dfrac{ - 2 - 8}{3 - ( - 2)} [/tex]

[tex] \dfrac{ - 10}{5} [/tex]

[tex] - 2[/tex]

slope (m) = -2

now, let's plug the value of slope (m) and coordinates of point (3 , -2) to find c (y - intercept)

[tex]y = mx + c[/tex]

[tex] - 2 = (3 \times - 2) + c[/tex]

[tex] - 2 = - 6 + c[/tex]

[tex]c = - 2 + 6[/tex]

[tex]c = 4[/tex]

Y - intercept of the given line is 4, so the required equation will be :

[tex]y = - 2x + 4[/tex]

f(x)=4x^2+2x-6.find the range of function f(x).

Answers

Answer:

y ≥ 6.25

Step-by-step explanation:

f(x)=4x²+2x-6

positive (4) leading coefficient, curve is left up and right up

x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4  (-0.25)

y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4  (-6.25)  ... extreme

range: y ≥ - 6.25    [-6.25,∞)

Can anyone help me with this question

Answers

Answer:

The last one.

Step-by-step explanation:

Just do the things inside the ()'s first. Then work your way out. Hope this helped!

Two baseball teams are playing each other twice. Enter the values to complete the possible outcomes for one team. Use W for a win and L for a loss. Then enter the number of outcomes in the sample space.

Answers

First game: W second W
First game W second L
First game L second L
First game L second W

Answer:

2+2+2 x 2 so 12

Step-by-step explanation:

well since there’s two teams either of thme could win or lose or tie I think I’m I wrong though I’m really tired so

write six multiples of 2/5

Answers

Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ……Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24,

Fourteen less children's meals were served
than adult meals at a barbecue. Children's
plates were $1.50 each and adults' plates
were $2.00 each. If the total amount of
money collected was $441, how many of
each type of plate was served?

Answers

441 + 14(1.50) = 462
462 / (2.00+1.50) = 132
132 - 14 = 118

132 adult plates were served and 118 children plates were served.
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