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frozen [14]
3 years ago
7

Find the value of x

Mathematics
2 answers:
Elina [12.6K]3 years ago
4 0

Answer:

d=60°

Step-by-step explanation:

Both angles are equal to each other because they are vertical angles and are therefore congruent.

Bogdan [553]3 years ago
3 0

Answer:

60 degrees

Step-by-step explanation:

Hi,

These angles are actually equal to each other. That means that d = 60 degrees. They are vertical angles.

I hope this helps :)

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A men earns $62 per week. how many will he earn if he works a full year 52weeks
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62$ (earns of 1 week) multiplied with 52 weeks (how often he earns the 62$) is 3224
5 0
3 years ago
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Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
¿cual es el perimetro total de un paralelogramo obicuo cuya base mide 2∛54x² cm , y cuyo lado oblicuo mide 3∛54x²?
Step2247 [10]

Answer:

p=10\sqrt[3]{54}x^2

Step-by-step explanation:

We are given parallelogram

Since, two opposite sides of any parallelogram are always equal

Let's assume first side =a

second side =b

so, we get

a=2\sqrt[3]{54}x^2

b=3\sqrt[3]{54}x^2

now, we can find perimeter

perimeter=2a+2b

so, we get

p=2(2\sqrt[3]{54}x^2)+2(3\sqrt[3]{54}x^2)

we can simplify it

p=4\sqrt[3]{54}x^2+6\sqrt[3]{54}x^2

p=10\sqrt[3]{54}x^2................Answer


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3 years ago
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kicyunya [14]

Answer:

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Step-by-step explanation:

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Answer:

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slope (1/2) - rise over run

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3 years ago
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