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kumpel [21]
3 years ago
6

In the pre-image of the parallelogram, the slope of AD is −3 and the slope of BC is −3. The image is translated down 7 units and

then reflected over the y−axis.
The slope of A"D" is .
The slope of B"C" is .
What can you determine about the line segments A"D" and B"C"?
Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0

Answer:

The slope of A''D'' is 3

The slope of B''C'' is 3

And they are parallel

Step-by-step explanation:

Just took the test

worty [1.4K]3 years ago
6 0

Answer:

a)The slope of A"D" is 3

The slope of B"C" is 3

b) The line segments A"D" and B"C" are congruent and parallel.

Step-by-step explanation:

The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3.

Since translation and reflection are rigid transformations, the preimage and the image are congruent.

This means that the lengths of the corresponding sides are equal.

Hence AD=A"D'' and B"C"=BC

However, since the image after a reflection in the y-axis is laterally inverted, the slope of A"D" will be negative of the slope of AD.

Similarly, the slope of B"C" will be negative of the slope of BC.

The slope of A"D" is 3

The slope of B"C" is 3

Since the two line segments have the same slope, they are parallel.

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Is MNO=PQR? If so, name the congruence postulate that applies.
katrin2010 [14]

Answer:

B. Congruent - SSS

Step-by-step explanation:

Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.

4 0
3 years ago
In a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per
alexdok [17]

Answer:

The test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard is 3.234.

Step-by-step explanation:

We are given that in a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed.

In an independent random sample of 90 cars driven at high altitudes, 24 of them exceeded the standard.

Let p_1 = <u><em>population proportion of cars driven at high altitudes who exceeded a standard of 10 grams</em></u>.

p_2 = <u><em>population proportion of cars driven at low altitudes who exceeded a standard of 10 grams</em></u>.

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the proportion of high-altitude vehicles exceeding the standard is smaller than or equal to the proportion of low-altitude vehicles exceeding the standard}

Alternate Hypothesis, H_A : p_1>p_2      {means that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard}

The test statistics that will be used here is <u>Two-sample z-test statistics</u> for proportions;

                             T.S.  =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~  N(0,1)

where, \hat p_1 = sample proportion of cars driven at high altitudes who exceeded a standard of 10 grams = \frac{24}{90} = 0.27

\hat p_2 = sample proportion of cars driven at low altitudes who exceeded a standard of 10 grams = \frac{42}{380} = 0.11

n_1 = sample of cars driven at high altitudes = 90

n_2 = sample of cars driven at low altitudes = 380

So, the test statistics =  \frac{(0.27-0.11)-(0)}{\sqrt{\frac{0.27(1-0.27)}{90}+\frac{0.11(1-0.11)}{380} } }      

                                   =  3.234

The value of z-test statistics is 3.234.

7 0
3 years ago
Im going to give 10 points for this question please answer it please. :)
Alchen [17]
The answer is Net A with a surface area of 390 square inches
7 0
3 years ago
The minimum wage in 2003 was $5.15 this was W more than the minimum wage in 1996 write an expression for the minimum wage in 199
Vikentia [17]
<span>The minimum wage in 2003 was $5. Let denote this minimum wage with: W_min_2003.
In 1996 the minimum wage was 15 the W_min_2003 ,so we can write:
W_min_1996=15*W_min_2003=15*5 USD= 75 USD.
The minimum wage in 1996 was 75 USD.</span>
5 0
3 years ago
Can see please help me with the 2 equations (in the picture) find x
Lunna [17]

Answer:

1. x = 2

2. couldn't figure out. sorry

Step-by-step explanation:

8 0
3 years ago
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