Mathematics, 22.06.2019 12:20 gamerdoesart

What is the value of x, given that the two prisms are similar?

Answers: 2

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Answer from: fjjjjczar8890

The correct answer option is D. 60.

Step-by-step explanation:

We are given the diagram of two prisms with known side lengths other than x. Given that these prisms are similar, we are to find the value of x.

Considering the similarity of these prisms, we will use the ratio method to find x.

$\frac { 3 } { 2 0 } = \frac { 9 } { x }$

$x = \frac { 6 \times 2 0 } { 3 }$

x = 60

Answer from: sarahgrindstaff123

OPTION D

Step-by-step explanation:

Given the similar prisms shown in the image, the first step is to set up the following proportion, where "x" is the missing lenght:

$\frac{9}{3}=\frac{x}{20}$

And finally you need to solve for the lenght "x" to find its value.

To solve for "x" you can multiply both sides of the equation by 20.

Then, the result is:

$(20)(\frac{9}{3})=(\frac{x}{20})(20)\\\\\frac{9*20}{3}=x\\\\\frac{180}{3}=x\\\\x=60$

Answer from: avinashpolwah

ANSWER

The correct choice is A.

EXPLANATION

If the the two prisms are similar, then their corresponding sides are in the same proportion;

This implies that

$\frac{x}{20} = \frac{6}{3}$

We simplify to get;

$\frac{x}{20}=2$

We now multiply both sides by 20 yo obtain;

$\frac{x}{20} \times 20 = 2 \times 20$

We simplify and multiply out to get:

x = 40

Therefore the value of x is 40 units

Answer from: because061907

x = 40 units.

Step-by-step explanation:

Corresponding sides of the 2 prisms are in the same ratio , so:

x / 20 = 10 / 5

x/ 20 = 2

x = 2 * 20

x = 40 units.

Answer from: Jxsolvez

X = 10
The size of the larger prism is twice the size of the smaller one.
For example, as you can see from the base length of the triangular side: Larger is 3 units and the smaller is 1.5 units. 3÷2=1.5
So I did the same with the length of the base: 20÷2=10

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