Given the function below, select all the equalities select all that are true.

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

A is true

B is false

C is true

D is true

E is false

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Find the missing angle measures of the following figure

Lisa [10]

Answer:

1 = 68

2 = 68

3 = 125

Step-by-step explanation:

Hey there!

To find angle 1 all we have to do is subtract the given angles from 180 because remember all of the angles in a triangle add up to 180

180-73-39=68

1=68

angle 2 is vertical to angle 1 therefore they are congruent angles so

2 also equals 68

So we know that the interior angles in a 4 sided shape add up to equal 360

so to find 3 we subtract the given angles from 360

360-90-77-68=125

so 3 = 125

6 0

3 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$