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Scorpion4ik [409]
3 years ago
14

Quadrilateral ABCD ​ is inscribed in a circle.

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

m\angle A=\boxed{135}\,^\circ

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary, so ...

  m∠A + m∠C = 180°

Substituting the given expressions, we have ...

  (3x +6)° + (x+2)° = 180°

  4x +8 = 180 . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . divide by 4

  3x +6 = 135 . . . . . . multiply by 3

This is the value of angle A in degrees, so ...

  m∠A = 135°

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Kyle already knew 19 appetizer recipes before starting culinary school, and he will learn 1
Bess [88]
So you know he starts off with 19. This is the first term. He learns one more each week, so let’s assign this the variable w.

19+1w

Set this equal to 47, since you’re solving how many to get to 47 recipes.

19+1w=47

To find out how many weeks, isolate the variable. Begin by combining like terms. Move the 19 to the side of the 47 by subtracting.

19+1w=47
-19 -19
—————-
1w= 28

To further isolate w, divide both sides by 1. This removes the coefficient from w and isolates it.

1w=28
—- ——
1 1

w=28

This means it will take him 28 weeks to learn 47 appetizer recipes in total. To check this answer, simply plug it back into the original equation.

19+1(28)=47
19+28=47
47=47

This means the answer is right, it will take 28 weeks.

I hope this helps! Please comment if you need any more explanation and I’ll get back to you ASAP.
6 0
3 years ago
How many miles represent 4 inches when 1/4 of an inch equals 30 miles
mixer [17]
508

50 log
7 0
3 years ago
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.
beks73 [17]

Answer:

16:40, 0.4

Step-by-step explanation:

experimental probability would be a ratio consisting of the number of times the coin lands on heads to the total number of times the coin is flipped so it would be 16 to 40 or simply 16:40

theoretical probability would be a way to show the likeliness of the coin landing on heads and can be found by dividing the number of flips that is expected to land heads up by the total number of flips so you divide 16 by 40 which equals 0.4

4 0
3 years ago
Round each number to the nearest tenth, the numbers are 73.129 and 73.184
Sever21 [200]
73.129 is 73.1 and 73.184 is 73.2.
3 0
3 years ago
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Help answer question 2
Effectus [21]
All you have to do is add them. So using the number line by looking at the -3 mark and find the -5 mark. Then you just add them together and you have your answer of -8!!
7 0
3 years ago
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