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2 years ago

The polygons are similar. but they are not necessarily drawn to scale. Find the value of x

Mathematics

1 answer:

Ne4ueva [31]2 years ago

4 0

Answer:

x=9

Step-by-step explanation:

Since the polygons are similar, the ratios of their respective sides are equal.

32/24=(x-1)/6

x-1=8

x=9

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

2 years ago

What does the expression (x+3)(9) represent

Dominik [7]

Answer:

evaluate 9(x+3)

expand 9x+27

Step-by-step explanation:

i think i am sorry if i am wrong

3 0

2 years ago

8x+6+4x+38=180 what’s the answer

Pavlova-9 [17]

x= 34 /3 thats what I got 34/3=11.333333

7 0

3 years ago

Read 2 more answers

Katrina owns a 9-acre farm. Last month, she bought her neighbor’s adjoining 8-acre farm. How large is Katrina’s farm now?

diamong [38]

9 + 8 = 17acre simple

5 0

3 years ago

Read 2 more answers

A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 The slant height of the pyramid i

Viefleur [7K]

the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:

89.9^2 = 9.9^2 + x ^2

8082.01 = 98.01 + x^2

X^2 = 8082.01-98.01

X^2 = 7984

X = sqrt(7984)

X = 89.35

Round to 89.4

7 0

2 years ago