Which set of statements always have the same truth value

A) Conditional and Converse

B) Conditional and Inverse

C) Inverse and Contrapositive

D) Conditional and Contrapositive

Answer:

Option B

Step-by-step explanation:

The given equation function is f(x) =[tex]\sqrt{x-3}[/tex]

Domain of this function will be determined by (x-3) ≥ 0

because square root of negative numbers is not defined.

Option B is the answer.

Answer:

160 stamps

Step-by-step explanation:

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10

The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9

9(3x+10)=7(5x-10)

27x+90=35x-70

160=8x

x=20

So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have

Answer:

The distance of UFO from KA-1212 is 1229.7 km.

Step-by-step explanation:

We are given that,

Distance between the satellites = 900 km

Angle made by the satellite KA-1212 = 60°

Angle made by the satellite SAL-11 = 75°

So, from the figure below,

The third angle is given by = 180° - (60°+75°) = 180° - 135° = 45°

Then, using the law of sines, we have,

[tex]\dfrac{x}{\sin 75}=\dfrac{900}{\sin 45}\\\\x=\dfrac{900\times \sin 75}{\sin 45}\\\\x=\dfrac{900\times 0.966}{0.707}\\\\x=\dfrac{869.4}{0.707}\\\\x=1229.7[/tex]

Satellites KA-1212 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-1212 So, it is 1229.7 km.

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

It is given that

Distance between the satellites  KA-1212 and SAL-11 = 900 km

Angle made by the satellite KA-1212 = 60°

Angle made by the satellite SAL-11 = 75°

So, the third angle is given by

= 180° - (60°+75°)

= 180° - 135°

= 45°

Using the law of sines, we get

x/sin75° = 900/sin 45°

x = 900 × sin75°/ sin 45°

x = 900 × 0.966/ 0.707

x = 1229.7

Thus, the distance of a UFO from KA-1212 is 1229.7 km.

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Answer with explanation:

It is given that, the difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.

Let the number be x.

Writing the statement in terms of equations

 [tex]\frac{x}{2}-\frac{x}{6}=10+\frac{x}{8}[/tex]

This equation can be used to find the number.

The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.

To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.

17x - 13y + 8

and

20x + 6y

. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:

17x - 13y + 8 - 20x - 6y

. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:

-3x - 19y + 8

which is the simplified difference of the two expressions.

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72  households in Mike's neighborhood ,begin emphasis, most, end emphasis, likely have a pet.

What is Fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

According to question, based on a survey, 3 out of 8 households have a pet. Mike's neighborhood has 192 households.

We have to find how many households in Mike's neighborhood ,begin emphasis, most, end emphasis, likely have a pet.

We get the number of households by following equations:

[tex]\frac{3}{8}[/tex]×[tex]192=72[/tex]

Hence we can conclude that Option C is correct answer.

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Answer:47.6

Step-by-step explanation:

Final answer:

The simplified expression '2x² - y² + 5xy - 2y' contains four terms, of which two are negative.

Explanation:

The expression given is 2x² - y² + 5xy - 2y To determine how many terms are in this simplified expression, we simply count the distinct variables and constant groupings. In this case, there are four terms: 2x², -y², 5xy, and -2y. Among these, two terms have a negative sign in front of them, indicating that they are negative. Thus, there are two negative terms in the simplified expression.

Answer:

The correct option is 2. 16 is added to both sides of the equation.

Step-by-step explanation:

The given equation is

[tex]x^2-8x=-10[/tex]

If an expression is defined as [tex]x^2+bx[/tex], then we need to add [tex](\frac{b}{2})^2[/tex] in the expression to make it perfect square.

In the given equation b=-8.

[tex](\frac{b}{2})^2=(\frac{-8}{2})^2=(-4)^2=16[/tex]

We need to add 16 on both the sides to solve by completing the square.

Therefore the correct option is 2. 16 is added to both sides of the equation.

Answer: A:<CED is a right angle

B: <CEA is a right angle

D: m<CEB=m<BEA

E: m<DEB=135

Step-by-step explanation

Answer:

The correct option is 3.

Step-by-step explanation:

The given expression is

[tex]7\sqrt{28}-5\sqrt{63}[/tex]

It can be written as

[tex]7\sqrt{4\times 7}-5\sqrt{9\times 7}[/tex]

[tex]7\sqrt{2^2\times 7}-5\sqrt{3^2\times 7}[/tex]

Using product property of radical expressions, we get

[tex]7(\sqrt{2^2}\times \sqrt{7})-5(\sqrt{3^2}\times \sqrt{7})[/tex]               [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]7(2\times \sqrt{7})-5(3\times \sqrt{7})[/tex]

[tex]14\sqrt{7}-15\sqrt{7}[/tex]

Taking out common factors.

[tex]\sqrt{7}(14-15)[/tex]

[tex]\sqrt{7}(-1)[/tex]

[tex]-\sqrt{7}[/tex]

Therefore the correct option is 3.

Justin paid $0.49/pound for his 20 pound pumpkin.

This is determined by dividing the total amount paid ($9.80) by the pound total (20lbs).

9.80 / 20= 0.49

This could be answered by using the distributive property.

This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.

So for our problem, 6 (3 + 9):

You first, multiply 6 x 3 = 18

And multiply 6 x 9 = 56

Thus, the answer is 18 + 56 = 72

But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)

Answer:

18 + 54

Step-by-step explanation:

Take 6 x 3 = 18

6 x 9 = 54

Answer is 18+54

to check answer 18 + 54 = 72

6(3+9)

6(12)= 72  

Given that, a bike wheel is 26 inches in diameter.

We need to convert bike wheel's diameter in millimeters .

Since, 1 inch = 25.4 millimeters.

So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,

1*26 inch = 25.4 * 26 mm.

So, 26 inches = 660.4 mm.

So, the bike wheel's diameter is 660.4 millimeters.

Hope this helps you!

The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

To convert a bike wheel's diameter from inches to millimeters,

we have to use the conversion factor, which is,

1 inch = 25.4 millimeters.

Now multiplying the diameter of the bike wheel,

which is given as 26 inches,

by the conversion factor of 25.4 millimeters per inch.

⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters

Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.

Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.

In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

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Answer:

180

Step-by-step explanation:

hope this helps you

Answer:

180 90plus90

Step-by-step explanation: