estimate the quotient of 88.9 ÷ 15.1

Answer:

→△ABC is reflected to form​​ ​ △A′B′C′ ​.

→→Vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6)  and the vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) .

Drawing the two images of ΔABC and ΔA'B'C'on two Dimensional Coordinate Plane

When, reflection takes place,the two, Image, and Pre-Image are Congruent, that is neither the shape nor the Size changes only translation of the shape takes place on the coordinate plane.

Option C: → Reflection across y = x.

Answer:

Step-by-step explanation:

The given transfomation is

[tex]A(-1,3) \implies A'(3,-1)\\B(2,4) \implies B'(4,2)\\C(-5,6) \implies C'(6,-5)[/tex]

Notice that the rule of the given transformation is

[tex](x,y) \implies (y,x)[/tex]

That is, the coordinates were change of position, like an inverse.

According to transformation rules, this represents a reflection across the line [tex]y=x[/tex].

Therefore, the right answer is C.

Answer:its 160 cubic feet hope it helps;)

Step-by-step explanation:

Answer:  The probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]

Step-by-step explanation:  Given that a number cube has sides numbered 1 through 6. And the probability of rolling a 2 is [tex]\dfrac{1}{6}.[/tex]

We are to find the probability of not rolling a 2.

Let, 'A' denotes the event of rolling a 2.

So, we have

[tex]P(A)=\dfrac{1}{6}.[/tex]

The event of not rolling a 2 is given by the complement of event A.

The probability of the complement of event 'A' can be calculated as

[tex]P(A')=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}.[/tex]

Thus, the probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]

The condition 'p implies q' and 'q implies r' logically leads to the conclusion that 'p implies r' due to the transitive property of logical arguments, which forms a valid chain argument called syllogism.

Given two conditional statements p⇒q and q⇒r, we can deduce another conditional statement that must logically be true. When p implies q (p⇒q), and q implies r (q⇒r), we can conclude that p⇒r is also true. This is known as the transitive property in logic.

Chain argument or syllogism is a logical argument where a series of premises leads to a conclusion. Using this, when p happens before q, and q precedes r, it follows that p must also lead to r. Therefore, we can construct a logical chain: p⇒q⇒r, resulting in p⇒r.

The set C shows a positive nonlinear association between x and y

The set is given as:

Set A

x 1 2 3 4 5 6 7 8 9

y 10 9 8 7 6 5 4 3 2

Set B

x 1 2 3 4 5 6 7 8 9

y 3 4 5 6 7 8 9 10 11

Set C

x 1 2 3 4 5 6 7 8 9

y 8 6 5 4 3.5 3 2.5 2 2

Set D

x 1 2 3 4 5 6 7 8 9

y 1 2.5 2.5 3 4 5 6 8 9

For the set to represent a non linear association, then the variables increases or decreases as the other variable changes but the direction must form a curved pattern.

Sets A, B and D are linear asociation because the output variables increases or decrease as the input variable increases

Hence, the set C shows a positive nonlinear association between x and y

Read more about nonlinear association at:

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The greatest common factor of 20y^9 + 5y^6 is 5y^6.

To find the greatest common factor (GCF) of 20y^9 + 5y^6, we need to determine the highest power of each variable that divides each term evenly. In this case, the highest power of y that can be divided evenly is y^6. The GCF of the two terms is therefore 5y^6.

Answer:

 9cm is your height. I found it by multiplying 4 to itself to get 16 then dividing it by 144 to get 9.

Step-by-step explanation:

Let us suppose the number is x. Now we try to make an algebraic expression going step by step.

Step 1:

Five times the number means 5 multiplied by x.

So it becomes 5x.

Step 2:

Sum of 14 and five times the number means 5x+14.

Step 3:

Number multiplied by -8 means -8x.

Step 4:

Subtract the expression in step (3) from expression in step (2)

5x+14-(-8x)

Now we can simplify it further,

5x+14+8x

Combining like terms,

13x+14

Answer: The final expression becomes 13x+14.

In probability, the probability of an outcome is a value between 0 and 1, inclusive. From your list, 1.015 and -0.234 do not fall within this range and thus can't be considered as valid probabilities, whilst 45%, 0.45%, 0.995, 2/3, and 0.66 are valid probabilities.

In probability theory, the probability of an outcome is always expressed as a value between 0 and 1, inclusive. In other words, the minimum probability is 0 (representing an event that will not occur) and the maximum is 1 (representing an event that is certain to occur). Probabilities can also be represented as fractions, percentages, or decimal numbers that fall within this range.

Looking at your list, 1.015 and -0.234 cannot be considered valid probabilities, because they fall outside the 0 to 1 range. All percentages should also be converted to decimals before comparison, meaning that 45% is equivalent to 0.45 and is a valid probability, while 0.45% is equivalent to 0.0045 and is also valid. Similarly, 2/3 and 0.66 are valid probabilities because they lie within the 0-1 range.

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Answer: The value of x is 133°.

Step-by-step explanation:

Since we have given that

Two lines intersect at a point forming two adjacent angles.

Measure of one adjacent angle is labeled as = x degrees

Measure of other adjacent angle is labeled as = 47 °

We need to find the value of x in degrees.

As shown in the figure:

Since they are adjacent angles.

So, we can write it as

[tex]x+47^\circ=180^\circ\\\\x=180^\circ-47^\circ\\\\x=133^\circ[/tex]

Hence, the value of x is 133°.