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Taya2010 [7]
4 years ago
6

Evaluate the Expression 5 + [1/6 x (4 + 2)] A.6 B.7 C.9 D.11

Mathematics
1 answer:
Contact [7]4 years ago
8 0

Answer:

A.6

Step-by-step explanation:

Step 1: Do the parenthesis first, 4+2 = 6

Step 2: Multiply: 6 x 1/6 = 1

Step 3: 1 + 5 = 6, So the answer is A. 6

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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]

2. translation (0,2)

\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

7 0
3 years ago
Read 2 more answers
Find the value of x that maximized the volume of the following:
Shtirlitz [24]

Check the picture below.

as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.

the maximum is reached at the close up you see in the picture on the right-side.

Why we don't use a higher value from the graph since it's going to infinity?

well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.

5 0
2 years ago
4 without using an exponent<br> of 1
Allushta [10]

Answer:

what do you mean like 4 with a exponent of 2,3,4,5,6,7,8,9,10?

Step-by-step explanation:

5 0
3 years ago
WORD PROBLEMS
kotegsom [21]

Answer:

The answer is

Step-by-step explanation:

Step by step

3 0
3 years ago
Martiza is playing a computer game to help her learn about science. Her scores for six games were 11, 12,10,8,14, and 15
nordsb [41]

Answer:

Points  she needs to earn on the next game = 14

Step-by-step explanation:

Martiza scores for six games were 11, 12,10,8,14, and 15.

(11+12+10+8+14+15+x)/7=12

(70+x)/7 = 12

Multiply both sides by 7

(70+x)/7 *7 = 12*7

70+x = 84

Combine the constants:

x=84-70

x = 14

Points she needs to earn on the next game = 14....

8 0
3 years ago
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