Ben has 3 times as many guppies as goldfish.If he had a total of 20 fish,how many guppies does he have

Answer: SAS congruence postulate (choice D)

Note how AD = CD based on the double tickmarks along these segment lines. This is the first S in SAS. The A in SAS refers to the congruent angles ADB and BDC. The final S in SAS would be the shared side BD = BD. It's important to realize that the angles are between the pairs of congruent sides for each triangle. The order matters. If the angles weren't between the two sides, then you can't use SAS.

Answer: ​ SAS Congruence Postulate ​

Step-by-step explanation:

In the given figure , in △ABD and △CBD

i.e. AD= CD [Given]

∠ADB = ∠BDC   [Given]

BD = BD  [Reflexive property]

∴ by ​ SAS Congruence Postulate ​, we have

△ABD≅△CBD

Hence, the correct answer is ​SAS Congruence Postulate ​.

In step 2, multiply what is inside the parentheses by 7 (distributive property):

7 * x = 7x

7 * 3 = 21

In step 3, subtract -7x on both sides of the equation. (Property of subtraction of equality)

Then -7x + 4x = -3x

7x-7x + 21 = 21

In step 4, both sides of the equation are divided by -3.

So (owned by the equality division)

-3x / -3 = x

-21 / -3 = 7

Remember that the division of equal signs results in a positive number.

4x = 7(x-3)                  Given equation

4x = 7x - 21               7 is distributed inside the parenthesis . So the property used here

                                     is distributive property                

-3x = -21                    7x is subtracted from both sides. 4x-7x is -3x. So the property used

                                   here is subtraction property of equality.

x = 7                         -3 is divided on both sides.  -21/3 is 7. So the property used

                                   here is division property of equality.

First of all, let me break down the formula: [tex] x^2-y^2,\ 2xy,\ x^2+y^2 [/tex] is always a Pythagorean triple because you have

[tex] (x^2-y^2)^2+(2xy)^2 = x^4-2x^2y^2+y^4+4x^2y^2 = x^4+2x^2y^2+y^4 = (x^2+y^2)^2 [/tex]

So, for any [tex] x,y>0 [/tex] you can choose (let's suppose [tex] x>y [/tex]), these three numbers will always fall in the form [tex] a^2+b^2=c^2 [/tex], which is also the rule that works for right triangles. So, every time you choose two numbers [tex] x,y>0 [/tex], the legs will be [tex] x^2-y^2[/tex] and [tex] 2xy[/tex], while the hypotenuse will be [tex]x^2+y^2 [/tex].

We have to find a right triangles with legs 16 and an odd number. Well, the legs in the triple we are given are [tex] x^2-y^2[/tex] and [tex] 2xy[/tex], so we want one of this to be 16, and the other to be odd. But [tex] 2xy[/tex] can't be odd, because it has a 2 factor in it. So, it must be 16: we have

[tex] 2xy=16 \iff xy=8 [/tex]

The only ways we can choose two numbers [tex] x>y>0 [/tex] such that their product is 8 are:

[tex] x=8,\ y=1,\quad x=4,\ y=2 [/tex]

In the first case, the legs are

[tex] x^2-y^2 = 64-1 = 63,\ 2xy = 16 [/tex]

In the second case, the legs are

[tex] x^2-y^2 = 16-4 = 12,\ 2xy = 16 [/tex]

In this case both legs are even, so the only good choice is [tex] x=8,\ y=1[/tex]

So, the triangle we're working with has legs

[tex] x^2-y^2 = 64-1 = 63,\ 2xy = 16 [/tex]

and hypotenuse

[tex] x^2+y^2 = 64+1 = 65 [/tex]

The Pythagorean triple with leg lengths of 16 and an odd number is found by using the formulas x² - y², 2xy, and x² + y², taking x as an even integer. This provides us the a triple (3, 4, 5) which, after scaling by a factor of 4, gives us a right triangle with sides 12, 16 and 20.

In order to find a Pythagorean triple whose leg lengths are 16 and an odd number, we'll use the Pythagorean triple formulas x² - y², 2xy, and x² + y², where x and y are integers. Considering one leg length is 16, which is even, the other leg should be an odd number. As for the expression 2xy to be even, either x or y should be an even integer of their own. Thus, let's take x to be an even integer, namely 4, which will, in turn, give us the values as 2² - 1² = 3 and 2² + 1² = 5. Hence, the Pythagorean triple is (3, 4, 5) which gives us the lengths in a 1:1 ratio. Therefore, to find a right triangle with legs 16 and odd number, we just multiply each length by 4 to get (12, 16, 20).

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Solution :

Given equations, [tex]x-y=3\\2x+2y=2[/tex]

Applying Substitution method to solve the equation.

Solve the first equation [tex]x-y=3[/tex] for x,

[tex]x-y=3\:\Rightarrow x=3+y[/tex]

Substitute the value of x in second equation,

[tex]2x+2y=2\\\\\Rightarrow 2(3+y)+2y=2\\\\\Rightarrow 6+2y+2y=2\\\\\Rightarrow6+4y=2\\\\\Rightarrow4y=2-6\\\\\Rightarrow4y=-4\\\\\Rightarrow y=\frac{-4}{4} =-1\\\\\Rigtharrow y=-1[/tex]

To calculate the value of  x  substitute the value of y in first equation

[tex]x-y=3\\\\\Rightarrow x-(-1)=3\\\\\Rightarrow x=3-1=2\\\\\Rightarrow x=2[/tex]

Hence, the solution of the equations [tex]x-y=3\\2x+2y=2[/tex] is (2,-1).

Answer:

32 dollars

Step-by-step explanation:

Given that selling price of a goat after reduced by 19% is 25.92.

We have to find the original price of the goat.

Let original price = 100

Reduced %          =  19

Selling price         = 81

81 dollars is equivalent to selling price of 25.92 $

100 dollars is equivalent to selling price of 100(25.92)/81 = 32 $

Answer:

Subtracted 12 times a number from 72 is less than 24.

Step by step solution

Given inequality is [tex]72-12a<24[/tex]

We need to write in word.  

12a means 12 times a number “a”

72-12a means subtract 12a from 72.

72-12a<24 means result is less than 24.  

Inequality shows “Subtracted 12 times a number from 72 is less than 24”

If we solve for number “a”

-12a<24-72

-12a<-24

a>2

All the number greater than 2 satisfy the given inequality.  

Answer:

4 units

Step-by-step explanation:

First of all, notice that the graph is NOT a straight line.  That means we should have written f(t) = 4*2^t instead of f(t) = 4*2t.

In words:  the value of this coin is 4 units at time t=0 and grows exponentially with time.  

This is an exponential function.  The y-intercept is obtained by letting t = 0 and evaluating f(0) = 4*2^0.  This is equal to 4*1, or just 4.  Once again, the y-intercept represents the initial value of the coin.

You bought 555 apples and 444 oranges and your friend bought 555 apples and 555 oranges. He bought 555-444=111 oranges more than you bought.

You paid $10, he paid $11, then he paid $1 more than you paid.

This means that 111 oranges cost $1.

Thus, 444 oranges cost $4 and 555 apples cost $10-$4=$6.

1. If 111 oranges cost $1, then 1 orange cost [tex]\$\dfrac{1}{111} .[/tex]

2. If 555 apples cost $6, then 1 apple cost [tex]\$\dfrac{6}{555}=\dfrac{2}{185}.[/tex]

Answer:

Each apple costs $1.20 and each orange costs $1.

Step-by-step explanation:

Let x represent the number of apples and y represent the number of oranges.

For the fruit you bought, 5 apples and 4 oranges, we have 5x+4y.  This costs $10.  This gives us the equation

5x+4y = 10

For the fruit your friend bought, 5 apples and 5 oranges, we have 5x+5y.  This costs $11.  This gives us the equation

5x+5y = 11

Together we have the system

[tex]\left \{ {{5x+4y=10} \atop {5x+5y=11}} \right.[/tex]

We will eliminate x by subtracting the bottom equation from the top:

[tex]\left \{ {{5x+4y=10} \atop {-(5x+5y=11)}} \right. \\\\-1y = -1[/tex]

Divide both sides by -1:

-1y/-1 = -1/-1

y = 1

Each orange costs $1.

Substitute this into the first equation:

5x+4(1) = 10

5x+4 = 10

Subtract 4 from each side:

5x+4-4 = 10-4

5x = 6

Divide both sides by 5:

5x/5 = 6/5

x = 1.2

Each apple costs $1.20.

one angle is 3x-3

another angle is 6(x-10)

Both angles are vertically opposite angles

Vertically opposite angles are always equal

So we equation both the angles and solve for x

3x - 3= 6(x-10)

3x - 3 = 6x - 60

Subtract 6x from both sides

-3x - 3 = -60

Add 3 on both sides

-3x = -57

Divide by 3

x = 19

The value of x= 19

If standard form means a+bi, then the answer is 7-26i. this is because if you use the distributive property, you get 15-26i+8i^2. i^2 in this situation is equal to -1. Once you multiply that to 8, you add it to 15 to get7. In standard form, 8 would be the a and b would be the -26

Answer:

The correct answer is: 17 - i

Step-by-step explanation:

You must use the distributive property.

A.  1 : 6 = 20 : 120 = 5 : 30

1*20 : 6*20 = 20 : 120

1*5 : 6 * 5 = 5 : 30

So they are equivalent ratios

B.  1 : 6 = 4 : 18 = 6 : 36

1*4 : 6*4 = 4 : 24 which is not equivalent to 4 : 18

so, they are not equivalent ratios

C.  1 : 8 = 20 : 120 = 3 : 24

1*20 : 8*20 = 20 : 160 which is not equivalent to 20 : 120

so, they are not equivalent ratios

D.  1 : 8 = 3 : 32 = 5 : 48

1*3 : 8*3 = 3 : 24 which is not equivalent to 3 : 32

so, they are not equivalent ratios

Answer:

a. yes  b. no  c. no   d.  no

Step-by-step explanation:

The coefficient in the expression x/3 + 7 is 1/3, as the variable x is being divided by 3, indicating an implied multiplication of 1/3 times x.

In the expression x/3 + 7, the term x/3 has a coefficient which is the number multiplying the variable x. In this case, the coefficient is 1/3 because x can be thought of as 1x and it is being divided by 3, so the coefficient for x is actually 1/3. The number 7 in the expression is a constant and not a coefficient because it does not multiply a variable.

To find a coefficient, you generally look for the number that is directly multiplied by the variable. In the given expression, since there is a division by 3, we treat 1/3 as the coefficient, which is an implied multiplication by x. Therefore, the coefficient of the variable x in the expression x/3 + 7 is 1/3.

C

5 × (8 + 2 ) = 5(8 + 2) = (5 × 8 ) + (5 × 2)

This took me a bit to complete but this is what i got as an answer so hopefully this helps  also the lines are supposed to go on top of both equations but if helpfull match up the lines on paper (Frist line starts on top of the 2 second line starts on top of the 5)

             -----------         ---------

[tex]x=0.285714t+3.2571428[/tex] or [tex]t=3.5x -11.4[/tex]

1.4x - 0.4(t - 3.1) = 5.8

1.4x - 0.4t + 1.24 = 5.8      distributed 0.4 on left side

1.4x - 0.4t           = 3.56    subtracted 1.24 from both sides

This is as far as you can go if they are different variables

************************************************************************

If you typed it wrong and they are supposed to be the same variable, then:

1.4x - 0.4x = 3.56

     1.0x     = 3.56

          x     = 3.56

[tex]\frac{new - original}{original} * 100[/tex] = percent change

[tex]\frac{3600 - 4500}{34500} * 100[/tex] = percent change

[tex]\frac{-900}{4500} * 100[/tex] = percent change

-0.20 * 100 = percent change

    -20%      = percent change

Answer: reduced 20%

-2(x + 3) = -2(x + 1) - 4

-2x - 6 = -2x - 2 - 4        distributed -2 on the left and on the right

-2x - 6 = -2x - 6

+2x       +2x      

     -6 =        -6

        TRUE

Since this is a true statement, there are infinite solutions (aka All Real Numbers)

Answer: C

The correct answer is:

(x,y) = (6,2)

Option A would be the correct one.

Answer:

The answer is (6, 2).

Step-by-step explanation:

This is a system of equations so we have to replace one equation in the other one, this is:

[tex]2x-y=10[/tex] Eq. 1

[tex]y=-\frac{1}{2}x+5[/tex] Eq. 2

Replacing the Eq. 2 in the Eq. 1, we have:

[tex]2x-(-\frac{1}{2}x+5)=10[/tex]

[tex]2x+\frac{1}{2}x-5=10[/tex]

[tex]2.5x=10+5[/tex]

[tex]x=\frac{15}{2.5}[/tex]

[tex]x=6[/tex]

Now we have that x=6, we can replace it in the Eq. 2:

[tex]y=-\frac{1}{2} *6+5\\y=-3+5\\y=2[/tex]

Now y=2

From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.

Answer:

Subjective probability.

Step-by-step explanation:

We have been told that Argelia has been fishing many times on the Broad River, but she has never recorded the number or types of fish she caught on her trips. She also has no idea how many fish are in the Broad River.

Since we know that subjective probability is a probability based on an individual's personal judgement or past experiences about happening of some specific event. Subjective probability contains no formal calculations.

Upon looking at this problem we can see that this is indicating about subjective probability as this is based on Argelia's past experiences and she has never recorded the number or types of fish she caught on her trips.

Therefore, Argelia used subjective probability to tell Adam about having a 90% chance of catching a fish.

B. -41.99 is your answer.

Hope this helps & good luck. :)

Answer:

B. -41.99

Step-by-step explanation:

Answer:

Step-by-step explanation:

If m∠P = m∠2 then it's an isosceles triangle.

m∠M = 90°, therefore it's an isosceles right triangle.

We know, the sum of measures of angles in a triangle is equal 180°.

Therefore we have the equation:

m∠P + m∠2  + m∠M = 180°

Substitute m∠M = 90° and m∠P = m∠2 = x:

x + x + 90° = 180°      substract 90° from both sides

2x = 90°       divide both sides by 2

x = 45° → m∠P = 45°

Answer: b) 45

Step-by-step explanation:

Answer:i will help you what is the question

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Circumference of a circle = π * diameter

=  4 *  π

=  12.57 cm to the nearest hundredth.

Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.

From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,

[tex]BW^2=GB^2+GW^2,\\ \\BW^2=4^2+1^2,\\ \\BW^2=17,\\ \\BW=\sqrt{17}\approx 4.123\text{ km.}[/tex]

Answer: nearly 4.123 km

Answer:

it is c 4.1

Step-by-step explanation:

The correct answer is option D

Option D:  A parallelogram with 4 right angles and opposite sides are equal best defines a rectangle because a rectangle must possess four right angles and opposite sides must be equal.

Rotating 90° clockwise from quadrant 2 means you are reflecting over the y-axis into quadrant 1.  What do quadrant 1 coordinates look like? both x and y are positive and are reversed.

   (-x, y) → (y, x)

A: (-8, 1) →  (1, 8)

B: (-6, 4) → (4, 6)

C: (-2, 1) → (1, 2)

A. (-8, 1) →  (1, 8)

C. (-2, 1) → (1, 2)

im so sorry but i dont know what b. is hope this helps tho :)