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2 years ago

What’s the proof for this

Mathematics

1 answer:

KIM [24]2 years ago

7 0

Well... Basically, you should prove this by SSS property(side-side-side). It's fair to say that the length of a side is equal to itself so The line that cuts through the rectangle is a side for both rectangles. Thus because of the given, all the sides of the triangles are equal to one another. This is a very important trick for geometry(I remember using it a lot).
Hope this helps!

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How do you solve the equation F = 9/5(K - 273.15) + 32 when you're solving for K?

Mumz [18]

$\displaystyle\\Answer:\ K=\frac{5}{9}(F-32^0)+273.15^0$

Step-by-step explanation:

$\displaystyle\\F=\frac{9}{5} (K-273.15)+32\\F-32=\frac{9}{5} (K-273.15)+32-32\\F-32=\frac{9}{5} (k-273.15)\\Multiply\ both\ parts\ of\ the\ equation\ by\ \frac{5}{9} \\(\frac{5}{9})(F-32)=\frac{9}{5} (K-273.15)(\frac{5}{9} )\\\\\frac{5}{9} (F-32)=K-273.15\\\\\frac{5}{9} (F-32)+273.15=K-273.15+273.15\\\\\frac{5}{9} (F-32)+273.15=K$

7 0

1 year ago

H e l p Me P l e a s e

krok68 [10]

The theorical probability is 1/4, because there are 4 possible outcome, and they are equally likely to be picked (the sectors have the same area)

The experimental probability is 3/20, becuase the red sector was picked 3 times in 20 trials.

5 0

2 years ago

Read 2 more answers

Which of these is an example of a continuous random variable?

dalvyx [7]

B.Number of eye blinks in a minute.
We do not have a set amount of blinks per minute.
A.Inccorect,a touchdown is 6 points
C.Speed of a race car rises at a constant rate depending on the car,speed e.t.c
D.Dogs get placed in a kennel and have a set ammount.

4 0

2 years ago

What is the mixed decimal 17.45 as a mixed number and reduce to lowest terms

Hunter-Best [27]

17.45 = 17 45
100 and you can divide the numerator and denominator by 5

so the final answer is 17 9
 20

7 0

3 years ago

A merchant bought some shirts for $120. The next day the price charged for each shirt was reduced by $1. The merchant calculated

Goshia [24]

Answer:

The merchant buys 30 shirts originally.

Step-by-step explanation:

Let us assume that the merchant bought x numbers of shirts in $120.

So, the cost for each shirt is $ $\frac{120}{x}$ .

Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.

So, we can write the following equation as

$(\frac{120}{x} - 1)(x + 10) = 120$

⇒(120 - x)(x + 10) = 120x

⇒ 120x - 10x + 1200 - x² = 120x

⇒ x² +10x - 1200 = 0

⇒ x² + 40x - 30x - 1200 = 0

⇒(x + 40)(x - 30) = 0

⇒ x = - 40 or x = 30

But x can not be negative.

Hence, the merchant buys 30 shirts originally. (Answer)

6 0

3 years ago