Which congruence criteria is met in the following scenario?
ASA
SSS
AAS
HL
SAS

Answer:

-4

Step-by-step explanation:

3x(x + 4) = 135

3x² + 12x = 135

3x² + 12x - 135 = 0

On dividing by 3

x² + 4x - 45 = 0

x² + (9x - 5x) - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x + 9)(x - 5) = 0

x = 5 & -9

Sum = -9 + 5

Sum = -4

The sum of the solutions of the given quadratic equation will be -4.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given equation,

⇒ 3x(x + 4) = 135

Multiply the 3x as,

3x² + 12x = 135

3x² + 12x - 135 = 0

Divide the above equation by 3 as

3x²/3 + 12x/3 - 135/3 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

x = 5 and x = -9

Therefore the sum will be -9 + 5 = -4

Hence "The total of the quadratic equation's answers will be -4".

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Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

Answer:

So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.

Step-by-step explanation:

1. Ask a teacher if you don't know answer to a certain subject you are studing

2.  Practice makes perfect

3 . Discuss and work with partner

Answer:

0.325

Step-by-step explanation:

$63 divide by 24 you'll get 2.625

then $2.95 minus 2.625 you'll get 0.325

Answer:

Step-by-step explanation:

ur mom

Answer: Minimum for $150: 2 Hours

Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!

Answer:

B. DX = YZ

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Rational Root Theorem tells you that potential rational roots are ...

  ±(divisor of constant term)/(divisor of leading coefficient)

Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...

  ±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots

Examination of the graph of the function shows the actual roots are ...

  x = -2, -1 (multiplicity 2)

_____

Additional comment

Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)

Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.

Answer:

its A i think

Step-by-step explanation:

Hope this helps!

Following the proportions given in the table, it is found that in the 7th arrangement, there will be:

From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:

Hence, in the 7th arrangement, there will be:

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[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

Answer:

2/5

Step-by-step explanation:

Subtract 2x from both sides

-5y = -2x + 10

Divide both sides by -5

y = 2/5 x -2

The slope is 2/5.

Answer:

20 gallons of water.

Step-by-step explanation:

4 water bottles = 8 gallons

1 water bottle = 2 gallons

X = Number of Water bottles

N = Gallons Per Water Bottle

X * N

10 * 2

20

Answer:

585

Step-by-step explanation:

Since there are 8 tanks and 5 barrels, you must add the two together,

[tex]8+5=13\\[/tex]

Then since there are 45 liters of oil in each containe, you have to multiply,

[tex]13x45=585[/tex]

There are 585 liters of oil

Answer:

a) 8x + 5x = 13x

b) 9f + 10f - 12f = 7f

Step-by-step explanation:

For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)

So 9 + 10 = 19, and 19 - 12 = 7.

Hope this helps you :)

Step-by-step explanation:

(a) 8x + 5x = 13x....simplified

(b) 9f + 10f - 12f = 7f.....simplified

Answer:

160

Step-by-step explanation:

23.4456 x 6.66=156.147696 respectively.

156.147696 to the nearest ten is 160.

The length of x is 3√10 units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.

As per the given data:

Perpendicular = 9 units

Base = 3 units

Using Pythagoras theorem to find x (hypotenuse):

[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units

Hence, the length of x is 3√10 units.

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Answer:

This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

Answer:

0.8 or 0.08 i believe

Step-by-step explanation:

hope this helps!

Answer:

1. yes, both triangles sides are congruent

2. yes, they have congruent sides and they have a congruent angle

3. yes, congruent sides and angle

4. yes, 2 congruent angles

5. no, only one congruent angle not enough proof

6. yes, 2 congruent angles

7. no, only one congruent angle not enough proof

8. no, only one congruent side

Answer:

4x²+ 4x +4

Step-by-step explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4

Answer:

(4x^2) + (4x) + 4

Step-by-step explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4

Step-by-step explanation:

a. 5 2/5 can be converted to 27/5

Multiply the numerators and denominators of 7/9 and 27/5

You will get: 189/45

This can be simplified to 21/5

b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6

Using the same process as before, you get: 175/24

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

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Answer:

No Solution

Step-by-step explanation:

This is impossible. x+1 is not x+2

Variables are always the same: x=x

Answer:

No their isn't

Step-by-step explanation:

Answer:

Hope I explain it well!

Step-by-step explanation:

k + a/6 = 3k

well, I am not sure if we need to find the a, or the k, so lets find both!

--

First the a:

k + a/6 = 3k (subtract k)

a/6 = 2k (Multiply by 6)

a = 12k

--

Last, the k:

k + a/6 = 3k (Subtract k)

a/6 = 2k (Divide by 2)

a/12 = k

--

There you go, I hope you figure it out <3