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Dima020 [189]
3 years ago
5

PLEASE HELP ASAP 2 QUESTION ON CONGRUENT TRIANGLES I WILL GIVE BRAINIEST

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

Q11.     Statement            Reason

1. \overrightarrow {MO} bisects \angle PMN     Given

2. \angle PMO\cong \angle NMO        Definition of angle bisector

3. \overline{MO}\cong \overline{MO}                   Reflexive property

4.  \overrightarrow {OM} bisects \angle PON    Given

5. \angle POM\cong \angle NOM        Definition of angle bisector

6. \triangle PMO\cong \triangle NMO       ASA postulate

Q13.

1. Consider triangles ACB and DCE. In these triangles,

  • \overline{BC}\cong \overline{EC} - given;
  • \overline{AC}\cong \overline{DC} - given;
  • \angle ACB\cong \angle DCE - as vertical angles (by vertical angles theorem)

Hence, triangles ACB and DCE are congruent by SAS postulate.

2. congruent triangles have congruent corresponding sides, so

\overline{BA}\cong \overline{ED}

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2.The number of tickets sold to a play for each showing is 78, 84, 87, 80, 91, 95, and 80.
Luden [163]

Answer:

Min =78

The maximum is :

Max = 95

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

Median =84

Now we can find the quartile 1 we analyze the first 4 values  78, 80,80, 84 and the first quartile would be:

Q_1= \frac{80+80}{2}= 80

Now we can find the quartile 3 we analyze the last 4 values  84,87, 91, 95 and the third quartile would be:

Q_3= \frac{87+91}{2}=89

And finally the 5 number summary would be:

Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96

Step-by-step explanation:

We have the following data given:

78, 84, 87, 80, 91, 95, and 80.

The first step is order the dataset on increasing way and we got:

78, 80,80, 84,87, 91, 95

We can begin finding the minimum value and for this case is:

Min =78

The maximum is :

Max = 95

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

Median =84

Now we can find the quartile 1 we analyze the first 4 values  78, 80,80, 84 and the first quartile would be:

Q_1= \frac{80+80}{2}= 80

Now we can find the quartile 3 we analyze the last 4 values  84,87, 91, 95 and the third quartile would be:

Q_3= \frac{87+91}{2}=89

And finally the 5 number summary would be:

Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96

5 0
3 years ago
Someone please help I need this ASAP Please.
ExtremeBDS [4]

Answer:

i think 2. is :   1and 3. is

Step-by-step explanation:

5 0
2 years ago
Alice wants to fence in a rectangular pay area for her rabbits. The length of the area should be at least 20ft, and the distance
dlinn [17]
This looks like common core which is never straight forward.It seems as though they are asking for the perimeter and not area,since they used feet for the distance around instead of sq.ft.
6 0
2 years ago
a beverage is made by mixing 3 parts of water with 5 parts of fruit juice how many parts of water are mixed with 1 part on fruit
Fittoniya [83]

Answer:

\frac{3}{5}=0.6

Step-by-step explanation:

Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

\frac{water}{fruit}=\frac{3}{5}=\frac{x}{1}

cross multiply: 5x = 3

divide: 5x/5 = 3/5 or x = 3/5

3/5 = 0.6 parts water

7 0
2 years ago
Read 2 more answers
What is the period of the function F(x) = 2 cot(3x-1) ?
lakkis [162]
The period is pi/3
Have a nice day :)
8 0
3 years ago
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