State two postulates or theorems that can be used to conclude that ∆ ≅ ∆. Justify each.

Answer:

$7.55

Step-by-step explanation:

We can solve this by using a system of equations. The equations would be set up like this:

[tex]2c + p = 3.15\\3c + 2p = 5.35\\[/tex]

Let's isolate a variable in the first equation:

[tex]p = -2c + 3.15[/tex]

Now we can plug this in to the second equation:

[tex]3c + 2(-2c + 3.15) = 5.35\\3c - 4c + 6.3 = 5.35\\-c + 6.3 = 5.35 \\-c = -.95\\c = .95[/tex]

Now that we have found c we can find p by plugging c in to an equation

[tex]2(.95) + p = 3.15\\1.9 + p = 3.15\\p = 1.25[/tex]

We have found both variables now we can use the following equation to answer the question:

[tex]4c + 3p = ?\\4(.95) + 3(1.25) = ?\\3.8+3.75 = 7.55[/tex]

Therefore, the price in dollars of 4 cucumbers and 3 peppers is $7.55.

I hope this helps!!

- Kay :)

Answer:

654.9

hope this can help

Answer:

I think its 31

Step-by-step explanation:

because the ratio was 25/56 of orange flowers,

so the rest of them are yellow

Answer:

Julio's number is 24

Step-by-Step Explanation:

1. 24 - 11 = 13

2. 13 · -6 = -78

Answer:

26

Step-by-step explanation:

Answer:

The expression I got is (12d+12m+3a+6c)

Answer: I believe the answer is b.

9514 1404 393

Answer:

  It is incorrect. The product is 3/2.

Step-by-step explanation:

The factored form of a quadratic with roots p and q can be ...

  a(x -p)(x -q) = ax² -a(p+q) +apq

Then the product of the roots is the ratio of the constant to the leading coefficient:

  pq = (apq)/a

In the given quadratic, that product is ...

  pq = 3/2 . . . . . . not 5/2

The statement that the product of roots is 5/2 is incorrect. That value does not have the required relationship to the coefficients of the quadratic.

Answer:  Drawing a blue marble and a yellow marble at the same time from a bag of marbles is the example of dependent events.

Step-by-step explanation: When the cards are replaced, or flipping coins or rolling dice, the outcome of the first event does nor affect the probability of the next event.

Drawing two marbles at the same time is essentially the same as drawing one and Not replacing it and then drawing the second one. The number of marbles left affects the probability.

Answer:

A

Step-by-step explanation:

Answer:

x = 34

Step-by-step explanation:

∠ PSR and ∠ TSU are vertical angles and congruent, then

∠ PSR = 4x, thus ∠ PSQ = x

The exterior angle of a triangle is equal to the 2 opposite interior angles.

∠ SQR is an exterior angle of Δ PQS , thus

x + x = 68

2x = 68 ( divide both sides by 2 )

x = 34

Answer:

X = 34°

Step-by-step explanation:

In order to solve this question we will need to know the following, when two lines intersect the opposite angles at that point are equal to each other, that the sum of all angles of a triangle is 180 degrees, and that the angle of a straight line is equal to 180 degrees.

Frist we will have to notice that ∠TSU is equal to ∠PSR, because they are opposite to each other (If you would like to understand this more you can research on a topic call "vertical angels"). Now it is important to understand the following.

∠PSR  = ∠PSQ + QSR

Since ∠PSR = ∠TSU = 4x, ∠QSR = 3x ⇒

⇒ ∠PSR  = ∠PSQ + QSR

   4x = ∠PSQ + 3x

   4x - 3x = ∠PSQ

   x = ∠PSQ

Now, since the sum of all angles in a triangle is equal to 180 we can now say the following:

∠QPS + ∠PSQ + ∠PQS = 180°

In order to find out what PQS is equal to we need to use our knowledge about the angel of a strait line (the angel of a strait line is equal to 180°).

So now we can say the following:

180° = ∠PQS + SQR

∠PQS = 180° - ∠SQR

Since we know that ∠SQR = 68° ⇒

⇒∠PQS = 180° - ∠SQR

  ∠PQS = 180° - 68°

  ∠PQS = 112°

Since ∠QPS = x, PSQ = x, and ∠PQS = 112° ⇒

⇒ ∠QPS + ∠PSQ + ∠PQS = 180°

   x + x + 112° = 180°

  2x = 180° - 112°

  2x = 68°

  x = 34°

Answer: 8.64

Step-by-step explanation:

3.6 * 4.8 = 17.28

17.82/2 = 8.64

Answer:

A. 8.64 ft²

Step-by-step explanation:

The equation for the area of a triangle is A = 1/2bh

b is base and in this case 4.8

h is height and in this case 3.6

A = 1/2 (3.6)(4.8)

A = 8.64

Hope this helped :)

Answer: 1.5 hours

Step-by-step explanation:

Softball was practiced for 2 hours each day.

After 7 days she must have practiced it for;

= 7 * 2

= 14 hours

She practiced both piano and softball for a total of 24.5 hours. She therefore practiced piano for;

= 24.5 - 14

= 10.5 hours

If in 7 days she practiced piano for 10.5 hours, everyday she must have practiced piano for;

= 10.5/7

= 1.5 hours

Answer:

1. (100-5) × (100+3) = 10000 + 300 - 500 - 15

=> 10300 - 515 = 9785

2. (500+1) × (500+2) = 250000 + 1000 + 500 + 2

=> 251502

Answer:

Using interval notation, it is described as increasing on the interval (1,3). Decreasing: A function is decreasing, if as x increases (reading from left to right), y decreases.

Step-by-step explanation:

Answer:

ian just wasted the last bit of coffee.

Step-by-step explanation:

Answer:

I am going to say 6 , please let me know if I am wrong :)

Answer: orange, correct me if i am wrong

Step-by-step explanation:

Answer:

3.30

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:LARGE ANGLE...60-degrees

So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that means it's measurement is 30°. The second angle, 2x, is just twice the first angle, so its measurement is 60°

Answer:

51

Step-by-step explanation:

Answer:

The rate of change of the surface area of the sphere is;

-48π cm^2/s

Step-by-step explanation:

Here, we want to calculate dA/dt

Mathematically that will be;

dA/dt = dA/dr * dr/dt

From the question;

dr/dt = -2 cm/s

dA/dr = 8πr

So dA/dt will be;

-2cm/s * 8πr = -16 πr cm/s where r is 3 cm

So;

dA/dt = -48π cm^2/s

Using implicit differentiation, it is found that the rate of change of the surface area of the sphere is of -151 square centimetres per second.

The surface area of an sphere of radius r is given by:

[tex]S = 4\pi r^2[/tex]

Applying implicit differentiation, the rate of change is given by:

[tex]S = 8\pi r\frac{dr}{dt}[/tex]

For this problem:

The rate of change is of:

[tex]S = 8\pi(3)(-2) = -48\pi = -151[/tex]

The rate of change of the surface area of the sphere is of -151 square centimetres per second.

A similar problem is given at https://brainly.com/question/11496075

Answer:

C the 3 one is the answer