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3 years ago

Why are basic facts needed when dividing large numbers?

Mathematics

1 answer:

GREYUIT [131]3 years ago

5 0

Weeeeelllll, when dividing lets say long division 4 58..... Nevermind this topic is like so easy and your in highschool

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3 years ago

Using the new unit you have defined, rewrite the debt for years 1900, 1930, 1960, and 2000.

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3 years ago

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

3 years ago

Read 2 more answers

Let f(x)=−1/4(x+4)^2−8 . What is the average rate of change for the quadratic function from x=−2 to x = 2? Enter your answer in

kiruha [24]

Answer:

Average rate of change of function is -2.

Step-by-step explanation:

Given $f(x)=\frac{-1}{4}(x+4)^2-8$ .

we have to find the average rate of change for the quadratic function from x=−2 to x = 2.

$f(-2)=\frac{-1}{4}(-2+4)^2-8=\frac{-1}{4}(4)-8=-9$

$f(2)=\frac{-1}{4}(2+4)^2-8=\frac{-1}{4}(36)-8=-17$

The average rate of change of the function f(x) on interval [-2,2] is

$\frac{f(b)-f(a)}{b-a}=\frac{f(2)-f(-2)}{2-(-2)}=\frac{-17-(-9)}{4}=\frac{-8}{4}=-2$

3 0

3 years ago