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4 years ago

What set of reflections would carry kite ABCD onto itself?

Mathematics

2 answers:

yulyashka [42]4 years ago

8 0

goblinko [34]4 years ago

7 0

Answer:

Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.

B is correct.

Step-by-step explanation:

We are given a kite ABCD. We need to find set of reflection would carry same figure.

Original figure in II quadrant.

Transform Original figure to Figure 1: Reflection across y-axis T(x,y)→(-x,y). Please see the attachment. (In first quadrant)

Transform Figure 1 to Figure 2: Reflection across y-axis T(x,y)→(x,-y). Please see the attachment. (In IV quadrant)

Transform Figure 2 to Figure 3: Reflection across y-axis T(x,y)→(-x,y). Please see the attachment. (In III quadrant)

Transform Figure 3 to Figure 4: Reflection across x-axis T(x,y)→(x,-y). Please see the attachment. (In II quadrant)

We can see figure 4 is equivalent to original figure.

Thus, Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.

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son4ous [18]

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3 years ago

A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each b

Softa [21]

Answer:

7 $5 bills
10 $1 bills

Step-by-step explanation:

If we take out the extra $3, we can group the bills into one each of $5 and $1, for a value of $6. There will be 7 such groups in the remaining $42.

That means there are 7 bills of the $5 denomination, and 3 more than that (10 bills) of the $1 denomination.

There are 7 $5 bills and 10 $1 bills.

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If you want to write an equation, it is usually best to let a variable stand for the most-valuable contributor. Here, we can let x represent then number of $5 bills. Then the value of the cash box is ...

5x +(x+3) = 45

6x = 42 . . . . . . . . subtract 3, collect terms

x = 7 . . . . . . . . . . . there are 7 $5 bills

x+3 = 10 . . . . . . . . there are 10 $1 bills

You may notice that this working parallels the verbal description above. (After we subtract $3, x is the number of $6 groups.)

6 0

3 years ago

Chloe received 86% on her first test, a 47/50 in her next test, and a 0.89 on her third test. List her percentages in order from

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Answer:

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Step-by-step explanation:

The three numbers, expressed as percentages, are ...

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Smallest to largest, they are 84%, 86%, and 89%. In the original form, they are 47/50, 86%, and 0.89.

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3 years ago

supervisor records the repair cost for 25 randomly selected dryers. A sample mean of $93.36 and standard deviation of $19.95 are

Simora [160]

<h2><u>Answer with explanation:</u></h2>

The confidence interval for population mean (when population standard deviation is unknown) is given by :-

$\overline{x}-t^*\dfrac{s}{\sqrt{n}}< \mu$

, where n= sample size

$\overline{x}$ = Sample mean

s= sample size

t* = Critical value.

Given : n= 25

Degree of freedom : $df=n-1=24$

$\overline{x}= \$93.36$

$s=\ $19.95$

Significance level for 98% confidence interval : $\alpha=1-0.98=0.02$

Using t-distribution table ,

Two-tailed critical value for 98% confidence interval :

$t^*=t_{\alpha/2,\ df}=t_{0.01,\ 24}=2.4922$

⇒ The critical value that should be used in constructing the confidence interval = 2.4922

Then, the 95% confidence interval would be :-

$93.36-(2.4922)\dfrac{19.95}{\sqrt{25}}< \mu$

$=93.36-9.943878< \mu$

$=83.416122< \mu$

Hence, the 98% confidence interval for the mean repair cost for the dryers. = $83.4161$

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