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Artist 52 [7]
2 years ago
6

XY and BD are parallel lines

Mathematics
1 answer:
madreJ [45]2 years ago
6 0

Answer:

a) they are corresponding angles

b) B=55° (proven)

C=55 (Angles opposite equal sides)

B+C+X=180° ( sum of angles of a triangle)

55°+55°X=180

110°+X=180°

X=180°-110°

X=70°

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Set g is the set of positive integers divisible by 4, and set f is the set of perfect squares. list the first 5 elements of set
stepladder [879]

The first 5 elements of set H, which contains numbers in G that are also elements of F are {4, 16, 36, 64, 100}.

<h3>What is intersection of sets?</h3>

The intersection of two sets has been the set that includes each of the elements which are shared by both sets.

The symbol for set intersection is  "∩''. The intersection, A ∩ B (read as A intersecting B) lists all the items that really are present in both sets and constitute the common elements of A and B for any two sets A and B.

Now, according to the question;

Set G is the set of positive integers divisible by 4, and

Set F is the set of perfect squares;

Then,

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, by the intersection of the sets;

G ∩ F - a intersection of the two sets, that is, what numbers are present in both sets at the same time.

G ∩ F = {4; 16; 36; 64; 100}

Therefore, The first 5 elements of set H, which have the same numbers in G as elements of F are {4, 16, 36, 64, 100}.

To know more about the intersection of sets, here

brainly.com/question/11439924

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8 0
2 years ago
What is the slope of the line y - 5 = -4(x - 8)?
pogonyaev
(8,5) is the correct answer
3 0
3 years ago
Charlie runs laps around a track. the table shows how long it takes him to run different numbers of laps. how long will it take
WARRIOR [948]

Answer:

20 (minutes)

Step-by-step explanation:

Look at the first columns, and it tells us that Charlie runs 2 laps in 8 minutes. Then simply divide by two, then you'll get that Charlie runs 1 lap in 4 minutes. So for five laps, multiply 4 by 5, which is 20.

3 0
3 years ago
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Answer:

B, D, E

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The parenthesis can be removed and this is the same answer as D.

Moving the parenthesis to the first two terms gives B.

Lastly using multiplication sign rules that say -(-) = +, E is the same expression.

6 0
3 years ago
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali
vaieri [72.5K]
Okay, I think I understand.

Straight lines have a measure of 180°, so
52° + 59° + y = 180°
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The measure of the inner angles of a polygon = (n - 2)180° where n is the number of sides. The shape is a triangle, so n = 3.
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x = 48°
6 0
3 years ago
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