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KonstantinChe [14]
3 years ago
5

Find the value of A, B, C and D

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0
Since some sides are congruent to the mirrored of itself, you can conclude that a =                    65 degrees
b = 180 - 65 =  115 degrees
c =                    20 degrees                  (180 = 45 + 115 + x)
d =                    45 degrees
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1. Let U the set of students of the university of Cambridge. Let the subsets of U:
Marysya12 [62]

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

6 0
2 years ago
Help pls. This is proportional relationships in a graph?
madam [21]

Answer:

Yes, this is proportional, if that's what your asking.

Step-by-step explanation:

3 0
2 years ago
Juanita is planting a flower garden. She wants to plant 24 tulips, and twice as many daffodils as tulips. A tulip plant costs $3
slavikrds [6]

Answer:

The total cost is \$168

Step-by-step explanation:

Let

x-----> the number of tulips

y-----> the number of daffodils

C-----> the total cost

we know that

x=24\ tulips

y=2x

substitute the value of x

y=2(24)=48\ daffodils

Find the total cost

C=3x+2y

substitute

C=3(24)+2(48)=\$168

5 0
2 years ago
Suppose <br> f '(x) = xe^−x^2
iogann1982 [59]
<h3>Answers:</h3>
  • (a) The function is increasing on the interval (0, infinity)
  • (b) The function is decreasing on the interval (-infinity, 0)

=======================================================

Explanation:

You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).

The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)

Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)

6 0
3 years ago
Please solve this question <br>the answer is 45 degree ​
malfutka [58]

Answer:

∠ABC= 45°

Step-by-step explanation:

∠ABC= ∠BCD (alt. ∠s, AB//CD)

(2x +15)°= (3x)°

2x +15= 3x

3x-2x= 15 <em>(</em><em>-2x </em><em>on </em><em>both </em><em>sides)</em>

x= 15

Substituting the value of x:

∠ABC

= ∠BCD

= [3(15)]°

= 45°

7 0
2 years ago
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