AOB and BOC are _____.

complementary angles
supplementary angles
right angles
vertical angles

Answer: B.The triangle in question is a right triangle.

Step-by-step explanation:

The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.

The given sides of triangle : 3, 4, and 5.

Here, Measurement of largest side = 5

Then , [tex]5^2=25[/tex]

Also, [tex]4^2+3^2=16+9=25[/tex]

[tex]\Rightarrow\ 5^2=4^2+3^2[/tex]

Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.

Answer:

HAS TO BE A RIGHT ANGLE

Step-by-step explanation:

…..

The moonstone was used by [tex]\fbox{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

Further explanation:

It is given that a potion is prepared by a group of witches. The members in the group are Ethel, Glinda, Locasata and Circe.

The ingredients used in the preparation of the potion are bat blood, knotgrass, moonstone and unicorn hair.

Each member of the group add a different ingredient which means that no two member of the group add the same ingredient.

As the preparation of the potion is finished it is observed that the [tex]\dfrac{1}{4}th[/tex] of the bat blood is left, [tex]\dfrac{1}{3}rd[/tex] of the knotgrass is left, [tex]\dfrac{1}{2}nd[/tex] of the moonstone is left and [tex]\dfrac{5}{8}th[/tex] of the unicorn hair is left.

From the above statement it is concluded that [tex]25\%[/tex] of the bat blood is left, [tex]33.33\%[/tex] of the knotgrass is left, [tex]50\%[/tex]of the moonstone is left and [tex]62.5\%[/tex] of unicorn hair is left.

Therefore, the percentage of ingredients used in the preparation of the potion are as follows:

Bat blood: [tex]75\%[/tex] is used

Knotgrass: [tex]66.67\%[/tex] is used

Moonstone: [tex]50\%[/tex] is used

Unicorn hair: [tex]37.5\%[/tex] is used

As per the question Ethel used the most so, the ingredient bat blood was used by Ethel.

As per the question Glinda used the least so, the ingredient unicorn hair was used by Glinda.

It is given that Locasta used more than Circe so, the ingredient knotgrass was used by Locasta and moonstone was used by Circe.

Therefore, the ingredient moonstone was used by [tex]\fbos{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Percentages and Fraction

Keywords: Percentages, fraction, Ethel, Glinda, Locasata, Circe, potion, bat blood, knotgrass, moonstone, unicorn hair, numbers, witches, coven, simplification.

Answer with explanation:

The given expression is

  [tex]x=\frac{1}{2}\times y[/tex]

Which is equation in two variables , x and y , representing a line.

The general form of line is,

   Ax +B y +C=0

Writing the above equation symmetrical to general form of line

→  2 x=y

→2 x-y=0, is the general form.

Answer: Hello mate!

If you have any real number A; you always have that:

A*0 = 0

this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)

Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.

And with this information, you can see that the right answer is D.

"if If a • b = 0, then either a = 0 or b = 0, or both."

because:

0*b = 0

a*0 = 0

0*0 = 0

Final answer:

The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.

Explanation:

The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.

Answer:

a - 9 ≤ 4 and a - 9 ≥ - 4

Step-by-step explanation:

Answer:

the answer is 130 year.

Step-by-step explanation:

Answer:

I can verify that this answer is correct!

30 feet per second x 60 = 1,800 feet per minute

1,800 feet per minute / 5280 = 0.34 miles per minute

It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.

2l + 2w = 16

2(l + w) = 16

l + w = 8

l = 8 - w

Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options. 

Hope this helped!!!!!

The scientific form of the number 52 thousand is 5.2×10⁴.

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number 52 thousand in standard form which is, 52000.

Now, The base would be 5 and the rest part would be in decimals raised to an appropriate exponent which is,

= 5.2×10⁴.   (as we have moved the decimal 4 places left)

learn more about scientific forms here :

https://brainly.com/question/1422306

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The  formula which can be used to describe the sequence is:

                [tex]f(x+1)=2f(x)[/tex]

The sequence is given by:

         [tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]

The terms of the sequence could also be written as:

[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]

This means that the first term of the sequence is:

[tex]f(1)=\dfrac{-8}{3}[/tex]

The second term of the sequence is:

[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]

[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]

and so on.

                 Hence, the formula is given by:

           [tex]f(x+1)=2f(x)[/tex]

Answer:

Step-by-step explanation:

Alright, lets get started.

Given that:

[tex]\frac{x+4}{4+x}[/tex]

Using commutative property, 4+x = x+4,

so

[tex]\frac{x+4}{x+4}[/tex]

Both numerator and denominator has same value, hence they could be cancelled.

So,

[tex]\frac{x+4}{x+4} = 1[/tex]

Hence the answer is 1 :   Answer  

Hope it will help :)

Answer:

c

Step-by-step explanation:

the answer is 1

Answer:

the next term is -1

Step-by-step explanation:

A sequence is defined recursively by the formula

[tex]f(n + 1) = f(n) + 3[/tex]

The first term of the sequence is –4.

When n=1 then f(1)=-4

Now we find out the next term

We need to find f(2)

To find f(2) plug in 1 for n in the recursive formula

[tex]f(n + 1) = f(n) + 3[/tex]

[tex]f(1 + 1) = f(1) + 3[/tex]

f(1) is -4

[tex]f(1 + 1) = -4 + 3[/tex]

[tex]f(12) =-1[/tex]

So the next term is -1

Answer:

b. -1

Step-by-step explanation: