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kirza4 [7]
3 years ago
8

What is the angle measure of x in the trapezoid below?

Mathematics
2 answers:
patriot [66]3 years ago
6 0

Answer:

i put 106 and i got it right

Step-by-step explanation:

lorasvet [3.4K]3 years ago
4 0
106 because the inside of a trapezoid has to equal 360
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Park rangers released 4 fish into the pond in year 0. Each year, there were three times as many fish as the year before. How man
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Look at each expression. Is it equivalent to "the quotient of 10 plus x and y minus 3?
abruzzese [7]

Answer:

the answer for the question is 10+x

y-3

8 0
3 years ago
Two lines, A and B, are represented by the equations given below:
SashulF [63]
Given:
Line A: 2x +  2y = 8
Line B:    x + y = 4

x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8

y = 4 - x
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4 0
2 years ago
Prove the statement holds for all positive integers:<br><br> 2 + 4 + 6 + ... + 2n = n² + n
crimeas [40]

Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.

The relation 2+4+6+...+2n = n^2+n has to be proved.

If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2

Assume that the relation holds for any value of n.

2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)

= n^2 + n + 2n + 2

= n^2 + 2n + 1 + n + 1

= (n + 1)^2 + (n + 1)

This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.

<span>By mathematical induction the relation is true for any value of n.</span>

6 0
2 years ago
in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select fro
Andrej [43]

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

So, number of ways to select 3 plants out of 7 = C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

5 0
2 years ago
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