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frutty [35]
3 years ago
5

Jake shows that △ △ C B A is congruent to △ △ A D C by rotating △ 180° △ C B A 180 ° around point C so it matches up with △ △ A

D C exactly. Which conclusion can be drawn from Jake's transformations?
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

Reflection about either the x- axis or y- axis.

Step-by-step explanation:

It is likely that the triangle shows a mirror image when it has been rotated at point C so that it matches ΔADC.

The triangles are congruent if the sides and angles are equal. The only way to effect the change is through a rotation.

In fact, two objects are said to be congruent if they can be transformed into another shape by translation, rotation, and reflection.

The resulting image is a distinct figure that can fit and match the other completely.

In this case, the triangle is rotated through 180⁰ so the resulting image is a reflection or mirror image.

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2b plus 4a minus a minus 2 plus 12b
jarptica [38.1K]

The value of the expression 2b plus 4a minus a minus 2 plus 12b is 3a + 14b - 2.

Expression:

An expression is defined as the a combination of operators, constants and variables. And it may consist of one or more operands, and zero or more operators to produce a value.

Given,

Here we have the statement "2b plus 4a minus a minus 2 plus 12b".

Now, we have to find the simplified form of this statement.

In order to find the simplified form,

First we have to convert the statement into expression form, then we get

2b plus 4a minus a minus 2 plus 12b = 2b + 4a - a - 2 + 12b

Now, we have to combine the like terms, then we get,

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Perform the appropriate arithmetic operations, then we get the simplified form of the expression as,

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<h2>19.</h2><h3>Given</h3>
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The proportional relation can be written as

... (building width)/(building height) = (window width)/(window height)

Multiplying by (building height) gives

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The distances are in proportion, so

... (map distance) : (actual distance) = 1.5 in : 5 mi

Multiplying by (5 mi)/(1.5 in)×(actual distance), we have

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