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katrin2010 [14]
3 years ago
13

Please solve this....

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

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In parallelogram QRST QS RT Is QRST a rectangle ?
fomenos

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.

According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.

Let QRST be an parallelogram and QS=RT.

In triangles QRT and RQS.

RT=QS         (Diagonals)

QR=QR         (Common side)

QT=RS         (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.

By CPCT,

\angle R=\angle Q

Since the sum of two consecutive angles of a parallelogram is 180 degree.

\angle R+\angle Q=180

2\angle R=180

\angle R=90

Therefore the measure of angle R and angle Q are 90 degree.

Similarly in triangle QST and RTS,

RT=QS         (Diagonals)

ST=ST         (Common side)

QT=RS         (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QST and RTS are congruent.

By CPCT,

\angle S=\angle T

Since the sum of two consecutive angles of a parallelogram is 180 degree.

Therefore the measure of angle S and angle T are 90 degree.

Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST  is a rectangle.

6 0
4 years ago
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The height, h, of the equilateral triangle is given by h =5cotΘ, where Θ is 30 degrees. Can someone help me with this? I don't u
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You don't even need the picture to solve this one.

You said that      h = 5 cot(Θ) ,    and you said that  Θ  is 30 degrees.
All you need now is to find the cotangent of  Θ, plop that into the equation,
and the solution practically jumps off the paper into your lap.

To find the cotangent of 30 degrees, you can use a calculator, look it up
in a book, read it off of a slide rule if you have one, draw a picture of a
30-60-90 right triangle etc.  You'll find that the cotangent of 30 degrees
is  √3 .  That's about 1.732 .

So your equation is    h = 5 (1.732)  =  <em>8.66  </em>(rounded)

Apparently, somebody gave you the equation, and asked you to find 'h'.
Once you had the equation, you didn't even need to know that  'h'  has
anything to do with a triangle.


5 0
3 years ago
What 10+1/3y=1 equal to​
stepladder [879]

Answer:

y=11/3

Step-by-step explanation:

just 10 plus 1 gives 11 and crisscrossing and will get 3y=11 and dividing both sides by 3 to get y free then will get y=11/3

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