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kozerog [31]
2 years ago
10

Determine whether the triangles are similar. or not.

Mathematics
1 answer:
KatRina [158]2 years ago
8 0

Answer:

B.Similar,sss

Step-by-step explanation:

Since no angles measures are provided in these triangles, we can determine if these triangles are similar by using the SSS Similarity Theorem. This requires that we determine if each pair of corresponding sides have an equal ratio.

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In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 :
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Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

x : 4 = 12 : 16

Convert to fractions

\frac{x}{4} = \frac{12}{16}

Multiply through by 4

4 * \frac{x}{4} = 4 * \frac{12}{16}

x = \frac{48}{16}

x = 3

Option B:

1 : 5= x : 15

Convert to fraction;

\frac{1}{5} = \frac{x}{15}

Multiply through by 15

15 * \frac{1}{5} = \frac{x}{15} * 15

15 * \frac{1}{5} = x

3 = x

x = 3

Option C:

x : 1 = 12 : 3

Convert to fraction

\frac{x}{1} = \frac{12}{3}

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Option D

15:x = 3:1

Convert to fraction

\frac{15}{x} = \frac{3}{1}

Cross Multiply

3 * x = 15 * 1

3 * x = 15

Divide through by 3

x = 5

From the above calculations.

<em>Option A and B can be filled with 3</em>

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