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3 years ago

Someone please help me on this!

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

Answer & Step-by-step explanation:

This can be proven with the SAS theorem (side-angle-side)

With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:

$GJ=IJ$

and it creates two 90° angles:

∠ $GJH=$ ∠ $IJH$

And because of the reflexive property of congruence:

$JH=JH$

Side-Angle-Side.

:Done

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Mr Leonard wants to top-up his central heating oil tank. The oil tank can take up to 1200 litres of oil. There are already 450 l

garik1379 [7]

Mr. Leonard gets £ 45.84375 as discount

Solution:

The oil tank can take up to 1200 liters of oil

There are already 450 liters of oil in the tank

The remaining oil which is to be added is given by :

Remaining oil = 1200 - 450 = 750 liters

The price of oil is 81.5 p per liter

Then calculate the total price of 750 L of oil:

$Total\ Price = 750 \times 81.5 = 61125$

Thus total price is 61125 p

Mr Leonard gets a 7.5% discount on the price of the oil

Therefore,

Discount amount = 7.5 % of 61125

$Discount\ amount = 7.5 \% \times 61125\\\\Discount\ amount = \frac{7.5}{100} \times 61125\\\\Discount\ amount = 0.075 \times 61125\\\\Discount\ amount = 4584.375$

Thus he gets 4584.375 p

We convert p to £

1 p = 0.01£

4584.375 x 0.01 = £ 45.84375

Thus he gets £ 45.84375 as discount

7 0

3 years ago

A class of 10 students hang up their coats when they arrive at school. Just before recess, the teacher hands one coat selected a

Fittoniya [83]

Answer:

0.1274

Step-by-step explanation:

Let X be the random variable that measures the number of children who get their own coat.

Then, the expected value of X is

E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)

The probability that a child gets her or his coat is

P(X=1) = 1/10

To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is

P(X=2) = 8!/10! = 1/(10*9) and

2P(X=2) = 2/(10*9)

Similarly, we can see that the probability that 3 children get their own coat is

P(X=3) = 7!/10! = 1/(10*9*8) and

3P(X=3) = 3/(10*9*8*7)

and the expected value of X would be

E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274

6 0

3 years ago

Which box-and-whisker plot displays the data?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

5 0

3 years ago

SOMEONE PLS HELP :( I WILL CHOOSE BRAINLIEST!!!

Nikolay [14]

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

7 0

2 years ago

If you plotted the points in the table and connected

castortr0y [4]

Answer:

U shaped.

Step-by-step explanation:

When x = 0 , f(x) = 6

when x =1 yf(x) = 0

when x = 2 f(x) = -2

x = 3 f(x) = 0

x = 4 f(x) = 6.

So the graphs falls from the left and rises to the right in the form of a U.

You can draw a rough graph to confirm this.

3 0

3 years ago