(a) What additional information is needed to prove the triangles are congruent by ASA Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answer:

see below

Step-by-step explanation:

x^2-x=42

Check the solutions

6^2 -6 = 42

36-6 =42

30=42

This is not true so 6 is not a solution

Let's find the solutions

Subtract 42 from each side

x^2-x-42=0

Factor

(x-7)(x+6) =0

Using the zero product property

x-7 =0   x+6=0

x=7   x=-6

Answer:

they are perpendicular

Step-by-step explanation:

Applying the general Ohm's Law, it is found that:

a) The impedance is of 8 + 4i ohms.

b) The current is of 17.6 + 8.8i amperes.

c) The impedance is of -11i ohms.

Ohm's Law states that voltage is current multiplied by impedance, that is:

[tex]V = IZ[/tex]

Standard voltage of 220 volts, thus [tex]V = 220[/tex].

Item a:

Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = (22 - 11i)Z[/tex]

[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]

Considering [tex]i^2 = -1[/tex]

[tex]Z = \frac{220(22 + 11i)}{605}[/tex]

[tex]Z = 0.3636(22 + 11i)[/tex]

[tex]Z = 8 + 4i[/tex]

The impedance is of 8 + 4i ohms.

Item b:

Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then

[tex]V = IZ[/tex]

[tex]220 = (10 - 5i)I[/tex]

[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]

[tex]I = \frac{220(10 + 5i)}{125}[/tex]

[tex]I = 1.76(10 + 5i)[/tex]

[tex]I = 17.6 + 8.8i[/tex]

The current is of 17.6 + 8.8i amperes.

Item c:

Current is 20i amps, thus [tex]I = 20i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = 20iZ[/tex]

[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]

[tex]Z = -\frac{220 \times 20i}{400}[/tex]

[tex]Z = -11i[/tex]

The impedance is of -11i ohms.

A similar problem is given at https://brainly.com/question/16850726

Answer:

option D

[tex] {10x}^{2} + 3x - 8[/tex]

Answer:I would say A I found out 2X^2+-1 first

Step-by-step explanation:2x

2

+−1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

is nax

n−1

.

2×2x

2−1

Multiply 2 times 2.

4x

2−1

Subtract 1 from 2.

4x

1

For any term t, t

1

=t.

4x

Then I saw that 6-2 making 4 so I chose the first one

Answer:

7083 KM/H

Step-by-step explanation:

17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)

Answer: y = -1/2x + 1

Answer:

a: x=22

b: c=31 d=61 e=88

Step-by-step explanation:

For "a"

Step 1: (x+9)+(3x-5)+(4x)=180

Step 2: 8x + 4 =180

Step 3: x=22

For "b"

Step 1: (22+9)= 31 for "c"

Step 2: 3x22-5= 61 for "d"

Step 3: 4x22= 88 for "e"

Answer:

D

Step-by-step explanation:

Riski states that any function written without a exponent must be linear ( straight) however the equation y= 3/x+5 shows a non-linear line when graphed.

Answer:

100°C

Step-by-step explanation:

Substitute in the values:

C = 5/9 × (212 - 32)

Simplify:

C = 5/9 × 180

1/9 of 180 = 20 (180 ÷ 9)

∴ 5/9 of 180 = 100°C (20 × 5)

Answer:

c=100C°

we learn that in intermational school

Answer:

A=6 cm, D=4.5cm and E=80 cm

Step-by-step explanation:

Answer:

1.3235

Step-by-step explanation:

If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.

Answer: im pretty sure its 21 mi per gal

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

C is wrong.  J'K' is not perpendicular to GM

E is wrong.  Rotating the figure 180 degrees, does not change the size of any line segments.  So J'K' cannot be twice the length of JK

Answer: I think this is what the top answer meant. Let me know if I am wrong though!

After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.

Given that a function h = 0.5d + 4 showing the height h of a plant in d days,

So, the equation of the line is:

h = 0.5d + 4

For 3.5 days put d = 3.5,

h = 0.5(3.5) + 4

h = 5.75 cm

To find the number of days after height of the plant is 6.25 centimeters.

Put h = 6.25,

6.25 = 0.5d + 4

2.25 = 0.5d

d = 4.5 days

Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.

Learn more about functions here:

https://brainly.com/question/31062578

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Complete question is attached.

Answer:

7.8 x 10^4 or 7.8e4 hope this helps!

The quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10² is 6.591 x 10⁷⁴.

In arithmetic, a quotient is a quantity produced by the division of two numbers.

Given is to find the quotient of 6.591 x 10⁷⁶ and 8.45 x 10².

We have to find the quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10².

6.591 x 10⁷⁶ ÷ 8.45 x 10²

(6.591 x 10⁷⁶/8.45 x 10²)

(6.591 x 10⁷⁶ ⁻ ²)

6.591 x 10⁷⁴

Therefore, the quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10² is 6.591 x 10⁷⁴.

To solve more questions on functions, expressions and polynomials, visit the link below -

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#SPJ2

Answer:

Answer 1

Step-by-step explanation:

Since 5 goes into 15x then 15x is the LCD, answer 1.

Answer: 60 Votes

Step-by-step explanation:

540 divded by 9 which equals 60 votes.

So Student B received 60 votes.

60 votes was received by student B.

540/9=60

Based on the given diagram, the length of FA is 51 units

Find the diagram attached. From the diagram;

AG = 2GF

Given that:

AG = 5x + 4

GF = 3x - 1

Substitute the given parameters into the formula;

5x + 4 = 2(3x - 1)

5x + 4 = 6x - 2

5x - 6x = -2 - 4

-x = -6

x = 6

Get the FA = 5x + 4 + 3x - 1

Substitute the value of x into the expression:

FA = 8x + 3

FA = 8(6) + 3

FA = 48 + 3

FA = 51 units

Hence the length of FA is 51 units

Learn more here: https://brainly.com/question/24119351

Answer:

51 units

Step-by-step explanation: took the test on ed and got it right

Answer:

None Of These

Step-by-step explanation:

Because you cannot determine what the two sides are because there are 2 missing variables.

This is a linear equation and has infinite solutions.

Another equation matching this is needed to find a specific answer.

Hope This Helps :)

Answer:

We can use the Laws of Exponent to rewrite both sides of the equation:

Let a¹² x a⁴ = a⁸ x a⁸

⇒        a¹²⁺⁴ = a⁸⁺⁸

             a¹⁶ = a¹⁶  ✅

⇒  a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.

Explanation:

The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.

Answer:

A

Step-by-step explanation:

1ft times 1ft is only 1 ft

Answer:

1ft

Step-by-step explanation:

Answer:

thank you for points....

Answer: 22 people

Step-by-step explanation:

we can solve the problem by setting missing

Answer:

9

Step-by-step explanation:

3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9

Answer:

18

Step-by-step explanation:

x + x + 7 = 43

2x + 7 = 43

     -7     -7

2x = 36

x = 18

Answer:

{x,y} = {2,-2}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    7x + 3y = 8

  [2]    3x - 4y = 14

Graphic Representation of the Equations :

   3y + 7x = 8        -4y + 3x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  x  

 [2]    3x = 4y + 14

 [2]    x = 4y/3 + 14/3

// Plug this in for variable  x  in equation [1]

  [1]    7•(4y/3+14/3) + 3y = 8

  [1]    37y/3 = -74/3

  [1]    37y = -74

// Solve equation [1] for the variable  y  

  [1]    37y = - 74  

  [1]    y = - 2  

// By now we know this much :

   x = 4y/3+14/3

   y = -2

// Use the  y  value to solve for  x  

  x = (4/3)(-2)+14/3 = 2

Solution :

{x,y} = {2,-2}