solve the following problem below

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

​

]

Answer:

Table 1 (leftmost)

Step-by-step explanation:

A linear function has a common difference between all of the x-values. This means that all the x-values change by the same amount relative to the change in y. In this case, the x-value increases by 1/2 every time that y increases by 1. The other tables do not work because their change is inconsistent. There is no number being added each time. Therefore, they are not linear. If you were to graph these tables, only table 1 would make a straight line.

The more convenient method to solve the given system of equations is by elimination.

From the question, we are to determine whether it would be more convenient to solve the system of equations by substitution or elimination

The given system of equations is

2 = 4y - 10     ----------- (1)

7x +12y = 7    ----------- (2)

In equation (1), we can see that there is no variable x in the equation. Thus we can solve for y and then substitute the value of y into equation (2).

That is,

From equation (1)

2 = 4y - 10

2 + 10 = 4y

12 = 4y

12/4 = 4y/4

3 = y

∴ y = 3

Now, we can substitute the value of y into equation (2) to determine the value of x

Hence, the more convenient method to solve the given system of equations is by elimination.

Learn more on Solving system of linear equations here: https://brainly.com/question/13729904

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Answer:

148.16en ltera

Step-by-step explanation:

The probability that none of the selected adults say that they were too young to get tattoos is 0.3512

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

14​% say that they were too young when they got their tattoos.

So, p= 0.14.

Six adults who regret getting tattoos are randomly​ selected

So, n=6.

Now, the probability that none of the selected adults say that they were too young to get tattoos.

P(X=0) = [tex]C_ {6.0} (0.14)^{0} (0.86)^{6}[/tex]

             = 0.3512

Learn more about this concept here:

https://brainly.com/question/24123162

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Answer:

no solution

Step-by-step explanation:

Steps are in order in the images below;

Last step:

there are no real solutions because the discriminant is negative

The square root of a negative number is not a real number

=−7

Answer:15 and 25

Step-by-step explanation:

3:4= 7

35/7=5

5x3=15

5x4=20

Answer:

56!

Step-by-step explanation:

HOPE THIS HELPS

HAVE  A NICE DAY!!

MARK BRAINLIEST IF POSSIBLE PLS! :D

Answer:

vgbsmihgdjuvs

ihfriguiuvgrlgr

Answer:

0.5 gallons paints 1/6of the wall..

0.5+0.5+0.5+0.5+0.5+0.5=> 3 gallons paint the wall

Answer:

Step-by-step explanation:

While I can not give you the exact answer as it is a graph, it's worth noting that the function is in f(x) = mx + b form.

This means the first point with an x coordinate of 0 will start at 6, and for each increase in one on the x-axis, we add 2.4.

So, the first coordinate is (0,6), the next is (1,8.4), and so on until you reach the end. That shouldn't take very long provided you can compute addition mentally.

Hope this helps and Good Luck

Step-by-step explanation:

Hope this helps you ☺️☺️☺️

Answer:

90 meters

Step-by-step explanation:

Volume = length x width x height

V = 6 x 5 x 3

V = 90

Hey there!

4(-x + 4) = 12

4(-x) + 4(4) = 12

-4x + 16 = 12

SUBTRACT 16 to BOTH SIDES

-4x + 16 - 16 = 12 - 16

CANCEL out: 16 - 16 because it gives you 0

KEEP: 12 - 16 because it helps solve for the x-value

NEW (temporary) EQUATION: -4x = 12 - 16

12 - 16 = -4

NEW EQUATION: -4x = -4

DIVIDE -4 to BOTH SIDES

-4x/-4 = -4/-4

CANCEL out: -4/-4 (the LEFT side) because that gives you 1

KEEP: -4/-4 (the RIGHT side) because it gives you the result of the x-value

x = -4/-4

x = 1

Therefore, your answer is: x = 1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

94  boys and 56 girls.

Step-by-step explanation:

150/8 = 18.75 = x

b=x*5 = 94

g=x*3 = 56

b+g=150

Looking at the question, we see that the ratio of boys to girls is 5:3, the total is 8. We are trying to find what the ratio of boys to girls is while the total is 150. Now, we can easily divide 150 by 8, finding one part of our answer! 150 ÷ 8 ≈ 18 [tex]\frac{3}{4}[/tex]. now to multiply that by the amount of boys and girls (5:3), 18 [tex]\frac{3}{4}[/tex]  × 5 = 93  [tex]\frac{3}{4}[/tex]  and 18 [tex]\frac{3}{4}[/tex] × 3 =  56 [tex]\frac{1}{4}[/tex]. After we round we get 94:56.

-----------

I hope this helps you! If you can't understand, try to comment and I'll try my best to help. Thanks! -Doodle

-----------

Answer:

the third one is the correct answer

Answer: 700 Hamburgers

Answer:

I believe the answer is 700

Answer:

18y-9w+6

Step-by-step explanation:

-3*-6y=18y

-3*3w=-9w

-3-2=6

so, 18y-9w+6

Answer:

18y-9w+6

Step-by-step explanation:

The distributive property tells that because the -3 is outside of the parentheses, we multiply all values inside the parentheses by -3.

So, -6y * -3 is 18y because two negatives cancel out, 3w * -3 equals -9w, and -2 * -3 is 6, again because two negatives cancel each other out.

We put this all together, the parentheses and -3 is removed, and the expression becomes 18y-9w+6.

Step-by-step explanation:

ur are choosing correct option as,

W = Y ( 90° given )

VW = YZ ( as both are || to eachother so their length is same )

angle X = X ( vertically opposite angle)

therefore, ∆WVX = ∆ZYX are congruent according to SAS congruency rule/criteria.

hope this answer helps you dear..take care and may u have a great day ahead and also ur exam/test goes well!.

9514 1404 393

Answer:

  g(x) = √(x -5) +7

Step-by-step explanation:

To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...

  g(x) = f(x -h) +k

To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...

  g(x) = √(x -5) +7

Answer:

x = 22

Step-by-step explanation:

6x+3 = 7x - 19

22 = x

good day

Answer:

9.30 maybe

Step-by-step explanation:

I just did mathz

Answer:

9.30

Step-by-step explanation:

a)

The sides of small squares are x and y, therefore the side of the big square is x + y.

The shaded region has an area:

b)

After the dimension changes the new side lengths are:

Since x and y are integers greater than 1, the minimum value of x is 2 (x = 1 doesn't work as we get negative value of x - 2) and same of y is 3 as y > x.

With this the smallest possible area of the shaded region is:

Answer:

13/2

see the picture above

Answer:

[tex] \frac{4x - 1}{2} = x + 7 \\ 4x - 1 = 2(x + 7) \\ 4x - 1 = 2x + 14 \\ 4x - 2x = 1 + 14 \\ 2x = 15 \\ x = \frac{15}{2} \: or \: x = 7.5[/tex]

Step-by-step explanation:

the price of:

3.17 pounds of pears = 3.17 × 0.99

= $3.14

1.45 pounds of oranges = 1.45 × $1.19 = $1.73

1.77 pounds of grapes = 1.77 × $1.29 =$2.28

so , the total bill = 3.14+ 1.73+ 2.28 = $7.15

Find prices of all

pears

Oranges

Grapes

Total

Answer:

-9/5

Step-by-step explanation:

(-3, 3) & ( 2, -4) -9/5 rise over run and negative because its in negative axis

Answer:

1. 30.86 2. 7.2

Step-by-step explanation:

Hopes this helps

Answer:

Step-by-step explanation:

1. Simple multiplication. Multiply 4.3 and 7.2

2. Simple multiplication. Multiply 0.3 and 24

3. Simple multiplication. Multiply 0.9 and 1

==>> Result 1: 30.96

==>> Result 2: 7.2

==>> Result 3: 0.9