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2 years ago

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

Mathematics

2 answers:

Elis [28]2 years ago

4 0

Answer:

A dilation with a scale factor less than 1 and then a reflection.

Step-by-step explanation:

A dilation with a scale factor less than 1 and then a reflection is the composition of similarity transformations maps polygon ABCD to polygon A'B'C'D.

scZoUnD [109]2 years ago

4 0

Answer:

Step-by-step explanation:

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Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, otherwise if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

8 0

2 years ago

Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim

Molodets [167]

Answer:

The washing machine cost $600 before tax

Step-by-step explanation:

Percentages

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

That is the final price, thus

1.085x=$651

Solving:

x = $651/1.085

x = $600

The washing machine cost $600 before tax

6 0

2 years ago

What the equation solved for the slope m?

nata0808 [166]

well i have to see the equation to know

8 0

2 years ago

N+ 12 = -24 Help please

omeli [17]

Answer:

n = -36

Step-by-step explanation:

The answer is -36 because:

1) We first have to subtract -24 and 12 to find n

-24 - 12 = -36

This is because whenever there are two negative signs, multiply it.

Negative x Negative = Positive

We have to do, 24 + 12 which is 36. Finally, we just put the greater number's sign to the answer. 24 is greater than 12, therefore, we put a negative sign before 36.

Hope this helps!

7 0

2 years ago

Provider A changes $55 for installation and charges $35.50 per month for the basic package. Provider B offers free installation

Igoryamba

Let n = number of months both have their services

Provider A:

C = 35.50n + 55

Provider B:

B = 35.50n

Provider A will always cost more than

provider B because of the $55 installation fee

3 0

2 years ago