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Lera25 [3.4K]
3 years ago
9

Figure RST is reflected about the x-axis and then translated down 1 unit to obtain figure R’S’T’:Which statement best describes

the relationship between the two figures?
Figure RST is congruent to figure R’S’T’.
Figure RST is bigger than figure R’S’T’.
The measure of angle R is equal to the measure of angle S’.
The measure of angle R is equal to the measure of angle T’.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

h.........

....................,...,........

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An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?
sesenic [268]

Answer:

\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}

Step-by-step explanation:

-np-4\leq2(c-3)\qquad\text{use the distributive property}\\\\-np-4\leq2c-6\qquad\text{add 4 to both sides}\\\\-np\leq2c-2\qquad\text{change the signs}\\\\np\geq2-2c\qquad\text{divide both sides by}\ p\neq0\\\\\text{If}\ p0 ,\ \text{then}\\\boxed{n\geq\dfrac{2-2c}{p}}

6 0
3 years ago
(2/5)^-2(-3)^4<br><br> What is the equivalent?
Nikolay [14]

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

8 0
3 years ago
A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated h
patriot [66]

Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.

5 0
3 years ago
Can anyone help me with my homework
aleksley [76]

Answer:

x = the number

Step-by-step explanation:

15.) 2x + 9 = 25

16.) 3x - 6 = 21

17.) 7x = 12 + 3x

18.) 4x = 18 + x

19.) 2x + 24 = 8x

20.) 30 - x = 4x

7 0
2 years ago
99 POINTS
inysia [295]

Answer:

Part a) The exact area of the sidewalk is 80\pi\ m^{2}

Part b) The approximate area of the sidewalk is 251.2\ m^{2}

Step-by-step explanation:

we know that

The area of the sidewalk is equal to the area of the outer circle minus the area of the inner circle

Part a) Find the exact area of the sidewalk

A=\pi (12)^{2} -\pi (8)^{2}

A=\pi [144-64]

A=80\pi\ m^{2}

Part b) Find the approximate area of the sidewalk

assume \pi=3.14

substitute

A=80(3.14)=251.2\ m^{2}

5 0
3 years ago
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