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AlladinOne [14]
3 years ago
8

Similarity - Item 33751 Select the two figures that are similar to each other. help pls​

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

<em>Similar: First two shapes only</em>

Step-by-step explanation:

<u>Triangle Similarity Theorems </u>

There are three triangle similarity theorems that specify under which conditions triangles are similar:

If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).

If the three sides are in the same proportion, the triangles are similar (SSS theorem).

If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).

The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.

The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.

The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar

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The area of a rectangle is 5/6 sq foot. The width is 2/3 foot. The length of the rectangle is how many feet
max2010maxim [7]

Answer:

The answer is

\frac{5}{4}  \\

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length

<h3>length =  \frac{area}{width}  \\</h3>

From the question

area = 5/6 sq. feet

width = 2/3 foot

Substitute the values into the above formula and solve for the length

The length is

length =  \frac{5}{6}  \div  \frac{2}{3}  \\  =  \frac{5}{6}  \times  \frac{3}{2}  \\  =  \frac{5}{2}  \times  \frac{1}{2}  \\  =  \frac{5}{4}

We have the final answer as

\frac{5}{4}  \\

Hope this helps you

7 0
3 years ago
Read 2 more answers
Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
Sav [38]
Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
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So both solutions are real and both have positive x-values.

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Answer:

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Step-by-step explanation:

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