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3 years ago

Total of a pounds of apples and b pounds of plums were packed into n boxes. How many pounds of fruit are there in each box?

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

Answer:

Step-by-step explanation:

b , n, and a are variables so you cant solve but can be put in an equation which is b+a/n

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AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct

Alex Ar [27]

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

6 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

AlekseyPX

Answer:

No Solution

Step-by-step explanation:

If you grouped like terms, you would get $n+(-n)+5-10=1$

Both <em>n's</em> would cancel each other out.

I hope this helps! (If it's wrong, then tell me, I'll try to find the correct answer...)

6 0

3 years ago

Write an equation in slope-intercept form of the line through point P(8,2) with slope 4

nata0808 [166]

Hello!

Firstly, we need to know what the slope-intercept form is. Slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.

Our goal here is to find the y-intercept. To find b, we will substitute the slope and the given ordered pair into the slope-intercept equation and solve algebraically.

y = mx + b (substitute the slope and point P)

2 = 2(8) + b (multiply)

2 = 16 + b (subtract 16 from both sides)

b = -14

Therefore, the equation is y = 2x - 14.

4 0

4 years ago

A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tic

dalvyx [7]

Answer:

The expected revenue of the tour operator is 985.

Step-by-step explanation:

There are two outcomes:

Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.

Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so $R = 21*50 = 1050$ .

Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.

Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is $P = (0.98)^{21} = 0.6542$ .

So, the expected revenue of the tour operator is

$R = 1050 - 100P = 1050 - 100(0.6542) = 984.58$

Rounded up, the expected revenue of the tour operator is 985.

6 0

3 years ago

Help, im not really understanding this

Mice21 [21]

Steps:

1-29f^2/d^4/2f^2= 58f^2/d^4

All i did in step one was simplify D variables then multiplied 29f^2 and 2f^2 together to get 58f^2

d5/58f^4

Answer is A

5 0

3 years ago