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Iteru [2.4K]
1 year ago
13

Graph the image of the polygon after a reflection in the line y=x PLEASE HELP

Mathematics
1 answer:
bazaltina [42]1 year ago
8 0

Answer:

a6,-3

b1,-2

c4,1

Step-by-step explanation:

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The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
2 years ago
Read 2 more answers
A bucket contains 11 2/3 gallons of water and 5/6 is full. How many gallons of water would be in a full bucket? Write a multipli
vagabundo [1.1K]

Answer:

14 gallons

Step-by-step explanation:

If 11 2/3 gallons represents 5/6 full bucket then we can equate that

x=1 full

x=\frac {11 2/3}{5/6}=14

Therefore, the bucket requires 14 gallons

7 0
2 years ago
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The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
d1i1m1o1n [39]

Answer:

The following points are not arranged in a parallelogram or rectangle order.

Step-by-step explanation:

Well first we need to graph the following.

A(1,1) B(2,2) C(3,3) D(4,4)

By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.

It is a line with a slope of 1 or x.

8 0
2 years ago
Robin and Evelyn are playing a target game. The object of the game is to get an object as close to the center as possible. Each
Elan Coil [88]

Since the goal of the game is to have as few centimeters away as possible the lowest number 107 or Robin is winning

4 0
1 year ago
Read 2 more answers
In an analysis of healthcare data, ages have been rounded to the nearest multiple of 5 years. The difference between the true ag
Mars2501 [29]

Answer:

The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.

Step-by-step explanation:

We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.

The mean of the uniform distribution is:

\mu=\dfrac{Max+Min}{2}=\dfrac{2.5+(-2.5)}{2}=0

The standard deviation of the uniform distribution is:

\sigma=\dfrac{Max-Min}{\sqrt{12}}=\dfrac{2.5-(-2.5)}{\sqrt{12}}=\dfrac{5}{3.46}=1.44

The sampling distribution can be approximated as a normal distribution with the following parameters:

\mu_s=\mu=0\\\\\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.44}{\sqrt{48}}=\dfrac{1.44}{6.93}=0.21

We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:

z=\dfrac{X-\mu}{\sigma}=\dfrac{0.25-0}{0.21}=\dfrac{0.25}{0.21}=1.19\\\\\\P(|X_s-\mu|

7 0
2 years ago
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