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3 years ago

Find the value of x please

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

X would be 31 degrees

180-118 = 62
62/2 = 31 degrees
(you divide by 2 because the sides are congruent)

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By installing efficient water fixtures the average American can reduce water use to about 45 gallons of water per day.Using such

IceJOKER [234]

(45 gal/day) x (31 day/Dec) =

(45 x 31) (gal/Dec) = <em>1395 gallons</em> per December .

Choice-B is closer to that figure than Choice-A is,
but they're both poor estimates.

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2 years ago

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Which situation is represented by this equation?

navik [9.2K]

No less than or greater than signs are used, so C and D are out

In this case the equation starts as .45M + 3.50

The only matching statement is A

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3 years ago

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valina [46]

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2 years ago

For each of 2 ≤ n ≤ 5, compute c(n, 0) + c(n, 2) + ⋅⋅⋅ + c(n, 2k), where 2k is largest even integer ≤ n, and compute c(n, 1) + c

Ksivusya [100]

Denote $C(n,m)=\dbinom nm$ . Then

$n=2\implies\displaystyle\binom20+\binom22=1+1=2$
$n=3\implies\displaystyle\binom30+\binom32=1+3=4$
$n=4\implies\displaystyle\binom40+\binom42+\binom44=1+6+1=8$
$n=5\implies\displaystyle\binom50+\binom52+\binom54=1+10+5=16$

In general, it would appear that

$\displaystyle\sum_{k=0}^{2\lfloor\frac n2\rfloor}\binom n{2k}=2^{n-1}$

On the other hand,

$n=2\implies\displaystyle\binom21=2$
$n=3\implies\displaystyle\binom31+\binom33=3+1=4$
$n=4\implies\displaystyle\binom41+\binom43=4+4=8$
$n=5\implies\displaystyle\binom51+\binom53+\binom55=5+10+1=16$

so that in general, we also get

$\displaystyle\sum_{k=0}^{2\lfloor\frac{n-1}2\rfloor+1}\binom n{2k+1}=2^{n-1}$

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2 years ago

The polygons are similar. Find the value of the variable. Please HELPPPPPP!!!!

stiv31 [10]

Answer:

Step-by-step explanation:

Well, we know for the first polygon that the short side of the rectangle is 3 and for the second polygon the short side is 6, this means that for the second polygon, all sides will be double of the other side. 2 times the long side of the first rectangle is 18, this is why x = 18.

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!

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2 years ago

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