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lakkis [162]
2 years ago
7

Nick has 2 cars car A uses petrol car b uses desiel

Mathematics
2 answers:
xz_007 [3.2K]2 years ago
8 0
Is there a question?
borishaifa [10]2 years ago
7 0
What’s the question???
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In a rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆P
allsm [11]
The rhombus has a couple of very interesting properties. The first is that the diagonals meet at 90o angles.

The second is that all the sides are congruent. That's actually the key to the problem (or one of them.

The third is that the diagonals are line segments that bisect the angles where the vertex of the angle is. 

So just to make sure you understand what that last statement means <PKM  =  <NKM
K is the vertex of angle PKN 

Now the really heavy duty stuff about your question.
Given
K is obtuse. Therefore <PKM can't be 16o because MKN would also have to be 16 degrees and together they don't add up to anything over 90o.
So the 16o angle is at <EPK

Remember that the diagonals meet at right angles. <PEK = 90o

Finally all triangles have 180o
< PKE = 180 - 16 - 90 = 74. So to review
<PKE = 74o
<EPK = 16o
<PEK = 90o That's one half the problem.

Moving on to triangle PMN
By the properties of parallel lines and a rhombus  and isosceles triangles, that since PKN is bisected (rhombus property) Then PKN = 2* PKM =2*74 = 148o
The angle opposite <PKN is equal to <PKN so <PMN = <PKN
Since PKN = 148 then PMN = 148
Since KPN = 16o then PMN = 16o
Since triangle <PMN is isosceles <PNM = 16o

Summing up 
PMN = 148o
MPN = 16o
MNP = 16o

That's both triangles solved. This is a really nice little problem. If you google properties of a rhombus, you will find all the properties I have used proven. 
 
5 0
3 years ago
Read 2 more answers
If the dimensions of the following cylinder are doubled, what factor will the surface area change by?
Vedmedyk [2.9K]

Answer:

probably 2 or 4

Step-by-step explanation:

7 0
3 years ago
10a3 what is the vocabulary for 10
dangina [55]

Answer:

Coefficient

Step-by-step explanation:

If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.

3 0
2 years ago
If (62)x = 1 what is the value of x? Explain your answer.
Alex
Whenever you solve an equation with a single variable you need to isolate the variable by itself on one side of the equal sign.  Just be sure that whatever operations you perform on one side you perform on the other sides as well.

62x=1  divide both sides by 62

x=1/62
3 0
3 years ago
**hint** Find the hypotenuse and then subtract that from the distance he actually traveled.
icang [17]

Answer:

10 miles

Step-by-step explanation:

5 0
2 years ago
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