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kirill [66]
3 years ago
14

If <3=70°, then find the rest of the angles.

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

If <3=70°, then find the rest of the angles.

3/4

5/6

7/8

79

1.) m<1=

2.) m<2=

4.) m<5=

3.) m<4=

6.) m<7=

5.) m<6=

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A 2-gallon jug of water costs $8.64. What is the price per cup?
natima [27]

Answer:

.48

Step-by-step explanation:

16 cups in a gallon so 8.64 divided by 16 is .48

3 0
3 years ago
Read 2 more answers
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
Determine if the two expressions are equivalent and
boyakko [2]

9514 1404 393

Answer:

  yes. Commutative Property of Addition

Step-by-step explanation:

The commutative property of addition tells you that the order of the addends is immaterial. These expressions are equivalent.

6 0
3 years ago
Can anyone please help me with 8th grade math? I will give BRAIN!!!
Anit [1.1K]

The given percentage scores are:

80 , 92 , 91 , 75 , 89 , 84 , 0 , 85

A. Calculate the average

So, the average = (sum of the scores)/(number of the scores)

Sum of the scores = 80 + 92 + 91 + 75 + 89 + 84 + 0 + 85 = 596

The number of the scores = 8

So,

The average = 596/8 = 74.5%

Does the average score really represent her abilities ?

No, because there is outlier which is ( 0 ) which mean it may be absent this test

the other scores are within 75 and 92

Which mean the average is less than the reasonable minimum score

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B. Brandee received 78% at the missed test

so, we will find the new mean:

The new sum of the scores = 80 + 92 + 91 + 75 + 89 + 84 + 78 + 85 = 674

The new mean = 674/8 = 84.25%

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C. What different did 0% score make ?

So, 0% give us not accurate representation of the student abilities

Does this new mean represent her abilities accurately ?

Yes

7 0
1 year ago
Which sequence is ARITHMETIC?
Rina8888 [55]

Step-by-step explanation:

An arithmetic sequence is a sequence that adds or subtracts the same amount every time, making the answer C. The numbers are increasing by +5 consistently.

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