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2 years ago

12

Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

2 answers:

lozanna [386]2 years ago

8 0

Answer:

Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y

Explanation:

The reflection across the x axis would produce A'B'C' then the translation of -6 units x and -2 units y would move the shape to A"b"C"

MaRussiya [10]2 years ago

4 0

Answer:

<h2>Reflection across the<em> x-axis</em> composition translation of negative 6 units <em>x</em>, negative 2 units <em>y</em>.</h2>

Step-by-step explanation:

To find the right order in this transformations from ΔABC to ΔA"B"C", we first need to consider that the initial figure is ΔABC, which is transformed to ΔA'B'C', and then to ΔA''B''C''.

So, from the image we can see that from ΔABC to ΔA'B'C', the transformation applied is reflection across the <em>x-axis</em>, because ΔA'B'C' is an inverted image of the original, like a mirror.

Then, from ΔA'B'C' to ΔA''B''C'', we can see that the transformation is a combination of translations, to the left side and down side. From the graph we can see that it moved exactly, 6 negative units in the direction of the <em>x-axis</em>, and 2 negative units in the direction of the <em>y- axis</em>, in other words, it moved 6 units to the left and 2 units down.

Therefore, the correct answer is the second one:

<em>Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.</em>

<em></em>

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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

$a_n=a_1+(n-1)d$

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

$a_7=a_1+(7-1)d$

$40=a_1+6d$

$a_1+6d=40$

a18 = 106

$a_1_8=a_1+(18-1)d$

$a_1+17d=106$

we can subtract both equations

$a_1+17d-a_1-6d=106-40$

$11d=66$

$d=6$

now, we can find a1

$a_1+6d=40$

we can plug d=6

$a_1+6*6=40$

$a_1=4$

12th term:

$a_1_2=a_1+(12-1)d$

now, we can plug values

$a_1_2=4+(12-1)*6$

$a_1_2=4+66$

$a_1_2=70$

so, 12th term is 70...........Answer

3 0

2 years ago

Which of these is an example of acceleration? a bicyclist turning around a corner a car traveling south with its cruise control

Pie

Answer:

A bus traveling north at 25m/s

Step-by-step explanation:

Common sense

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2 years ago

Read 2 more answers

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

nydimaria [60]

Answer:

$50$

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

$110$

So, let's solve both inequalities.

1)

$110$

Subtract 10 from both sides:

$100$

Divide both sides by 2:

$50$

2)

$2x+10$

Subtract 10 from both sides:

$2x$

Divide both sides by 2:

$x$

So, our inequality is now:

$110$

Since we solved the equations:

$50$

Written as a compound inequality, this is:

$50$

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

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2 years ago

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at the community savings bank it takes a computer 30 minutes to process and print payroll checks when the second computer is use

s2008m [1.1K]

Well im not to sure about yours but mine say the answer is A

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2 years ago

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

solniwko [45]

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

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2 years ago