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Phantasy [73]
3 years ago
10

Given that the two figures are similar, what scale factor can be used to find the missing length x?

Mathematics
2 answers:
Dafna11 [192]3 years ago
8 0

Answer:

A

Step-by-step explanation:

4/16 = 1/4

kolbaska11 [484]3 years ago
5 0

Answer: The correct option is

(D) 4.

Step-by-step explanation:  Given that the two triangles in the figure are similar.

We are to find the scale factor that can be used to find the missing length x.

From the figure, we note that

two pairs of corresponding lengths of the sides of the given triangles are (4, 16) and (6, x).

And, the scale factor is given by

S=\dfrac{\textup{length of a side of dilated triangle}}{\textup{length of the corresponding side of the original trinagle}}\\\\\\\Rightarrow S=\dfrac{16}{4}\\\\\Rightarrow S=4.

Also, we get

S=\dfrac{x}{6}\\\\\\\Rightarrow 4=\dfrac{x}{6}\\\\\Rightarrow x=24.

Therefore, the missing length x is 24 units and the scale factor is 4.

Option (D) is CORRECT.

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Answer:

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Step-by-step explanation:

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Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.
iogann1982 [59]

Answer:

24 blocks will be needed to make the tower that is 4 feet high

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Charlie knows that 3 blocks are needed to make a tower that is

   0.5 foot high

∵ He needs to make a tower that is 4 feet high

→ By using the ratio method

→  Blocks  :  height (ft)

→   3          :   0.5

→   x          :   4

→ By using the cross multiplication

∵ x × 0.5 = 3 × 4

∴ 0.5x = 12

→ Divide both sides by 0.5 to find x

∵ \frac{0.5x}{0.5} = \frac{12}{0.5}

∴ x = 24

∵ x represents the number of blocks

∴ 24 blocks will be needed to make the tower that is 4 feet high

7 0
2 years ago
Anyone know the answer?
storchak [24]

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A. 5-log3 (2)

Step-by-step explanation:

3 0
3 years ago
Find the zeros of the function. Enter the solutions from least to greatest . h(x) = (- 4x - 3)(x - 3) lesser x = greater
icang [17]

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Answer:

  -3/4, 3

Step-by-step explanation:

The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.

  -4x -3 = 0   ⇒   x = -3/4

  x -3 = 0   ⇒   x = 3

The zeros of the function are -3/4 and 3.

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3 years ago
Nicola buys a bouquet of 8 sunflowers for $18 What is the cost of 1 sunflower?
Sever21 [200]

Answer:

$2.25

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