Please help me with this question :)

Mathematics

2 answers:

777dan777 [17]3 years ago

8 0

Answer:

The 3rd option is the correct answer.

Step-by-step explanation:

(-24 *|x|)/8= -30

-24*|x|= -30 *8

-24*|x| =-240

|x|= -240/-24

|x| =10

x= 10 or -10

Margarita [4]3 years ago

6 0

Answer:

C. Where the points are at 10 and -10.

Step-by-step explanation:

Simply solve this equation by doing opposite operations to isolate and ultimately find x.

$\frac{-24|x|}{8} =-30$

Multiple both sides by 8 to get rid of it.

-24|x|=-240

Now, divide both sides of the equation by -24 to get

|x|=10

x=10, x=-10

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A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH

Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$