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3 years ago

If these two shapes are similar, what is the measure of the missing length w?

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

7 0

Answer:

w = x = 36

Step-by-step explanation:

In the largest triangle, the longest side is x

The shortest side = 18

In the smaller triangle the longest side is 6

The shortest side is 3

You can set up a ratio

x/18 = 6/3 Divide the right side by 3

x/18 = 2 Multiply both sides by 18

18 *x / 18 = 2 * 18

x = 36

mamaluj [8]3 years ago

3 0

I think the answer is 6. The reason I think the answer is 6, is because if you divide 18 and 3, your answer will be 6. Keep in mind I might be wrong. Maybe 3 is correct, not quite sure. Maybe try both. Sorry, this probably wasn’t much help.

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A right triangle has the following vertices (7,-3), (4,-3), (4,9) find the area of a right triangle

laila [671]

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Step-by-step explanation:

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4 years ago

Read 2 more answers

-3,6,-9,12,-15 which of the following represents the general term for the sequence give?

Mademuasel [1]

The general term for the sequence $a_{n}=(-1)^{n} 3 n$

<h3><u>Solution:</u></h3>

Given sequence is -3, 6, -9, 12, -15

We have to find the general term of sequence

The terms in the sequence are found out by using the recursive definition:

$a_{n}=(-1)^{n} 3 n$

Let us use this definition to find out the terms and check if it matches our given sequence

$\begin{array}{l}{\text { For } n=1:-(-1)^{n} 3 n=(-1)^{1} \times 3 \times 1=-3} \\\\ {\text { For } n=2:-(-1)^{n} 3 n=(-1)^{2} \times 3 \times 2=1 \times 6=6} \\\\ {\text { For } n=3:-(-1)^{n} 3 n=(-1)^{3} \times 3 \times 3=-1 \times 9=-9} \\\\ {\text { For } n=4:-(-1)^{n} 3 n=(-1)^{4} \times 3 \times 4=1 \times 12=12} \\\\ {\text { For } n=5:-(-1)^{n} 3 n=(-1)^{5} \times 3 \times 5=-1 \times 15=-15}\end{array}$

Thus the general term is given by $a_{n}=(-1)^{n} 3 n$

7 0

3 years ago

Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?

Nikitich [7]

Answer:

Graph will open same way and is narrower.

Step-by-step explanation

If: f(x)= x^4

f(-2x)= (-2x)^4

Negative sign usually flips the graph and make it open to the opposite direction. In this case since the function is to the 4th degree and the negative sign is included. The negative is basically ignored.

The term in front of x (a) determines how wide the graph opens. The bigger the a value the faster the slope increases so the narrower the graph opens.

Think if the slope is 4 vs 1/4.

Hope this helps

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3 years ago

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creativ13 [48]

Try the suggested explanation (it consists of 3 basic steps).