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vitfil [10]
3 years ago
8

Given:

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0

Answer:

Option B is correct.

\triangle RST \cong \triangle TUR  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒TU \cong RS and TS \cong RU

In triangle RST and  triangle TUR

RS \cong TU  [Side]  

TS \cong RU  [Side]

RT \cong RT   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

\triangle RST \cong \triangle TUR    


Marysya12 [62]3 years ago
6 0

Answer:

\Delta TRS \cong \Delta RTU

Step-by-step explanation:

We have been given a graph of a parallelogram and we are asked to find which triangle is congruent to triangle TRS.

Since we know that the opposite sides of a parallelogram are equal, so TU = RS.

Since the alternate interior angles formed by two parallel and a transversal is equal. We can see that line TU is parallel to line RS and TR will be our transversal, therefore, angles formed inside the parallel lines and on the opposite sides of transversal will be equal.

By alternate interior angles: m\angle TRS=m\angle RTU

We can see that in triangle TRS and RTU segment RT equals to itself.

Therefore, by SAS congruence postulate \Delta TRS \cong \Delta RTU and option B is the correct choice.

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The perimeter of a kite is 51 meters. If one side measures 18 meters find the measure of the opposite side.
puteri [66]
Let n and m be the sides of the kite
perimeter = 2(m+n)
51 = 2(18+m)
51/2 = 18 + m
25.5 - 18 = m
m = 7.5m
4 0
2 years ago
The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plot
katovenus [111]

Answer:

1) The median weight for shelter A is greater than that for shelter B.

True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.

4) The data for shelter B are a symmetric data set.

True, the median is exactly 2 pounds away from each quartile which means it is symmetric.

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.

Step-by-step explanation:

We are given two box-plots, a box plot basically shows 5 statistical characteristics of a data set and they are  

1. minimum value  

2. Lower quartile  

3. Median value  

4. Upper quartile  

5. Maximum value  

Box-plot of dogs in shelter A:

The whiskers range from 8 to 30

Which means that the range is = 30 - 8 = 22

The box ranges from 17 to 28

Which means that the interquartile range is = 28 - 17 = 11

21 - 17 = 4

28 - 21 = 9

The median is not equal distance away from each quartile which means that the box-plot is not symmetric.

A line divides the box at 21

Which means that the median is = 21

Box-plot of dogs in shelter B:

The whiskers range from 10 to 28

Which means that the range is = 28 - 10 = 20

The box ranges from 16 to 20

Which means that the interquartile range is = 20 - 16 = 4

18 - 16 = 2

20 - 18 = 2

The median is exactly 2 pounds away from each quartile which means it is symmetric.

A line divides the box at 18

Which means that the median is = 18

Which is true of the data in the box plots?

1) The median weight for shelter A is greater than that for shelter B.

True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.

2) The median weight for shelter B is greater than that for shelter A.

False

3) The data for shelter A are a symmetric data set.

False

4) The data for shelter B are a symmetric data set.

True

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.

5 0
3 years ago
Alg 1 Wee
julia-pushkina [17]

Answer:

5y-35

Step-by-step explanation:

since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer

3 0
3 years ago
Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance
Anna [14]

Answer:

Step-by-step explanation:

1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).

2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground

you may have to change the english a bit and english is not my first language

hope this will help

3 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Katyanochek1 [597]

Answer:

its B

Step-by-step explanation:

pls do not listen to the other person

you have to add the tax so multiplying the two together instead of just adding them would get the same number

(also x+0.05x is literally 1.05x anyway)

hope this helps <3

3 0
3 years ago
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