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SVETLANKA909090 [29]
3 years ago
10

How many subsets does the set A= {1, 2 3, 4} have? * 2 points 8 16 4 12

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

\huge\boxed{\mathrm{Subsets = 16\ }}

Step-by-step explanation:

A = {1,2,3,4}

Subset = \sf 2^n

Where n is the number of elements in the set

There are 4 elements in the set

Subset = \sf 2^4

Subsets = 16

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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

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m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
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