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Novosadov [1.4K]
3 years ago
5

Given: Quadrilateral ABCD is inscribed in circle O.

Mathematics
2 answers:
Airida [17]3 years ago
6 0
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.

2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. 
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD

4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°

5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360

Alja [10]3 years ago
4 0

Answer:

1) Quadrilateral ABCD is Inscribed in circle O.

2) Inscribed Angle Theorem

3) Already done!

4)mBCD+mDAB=360

5)Substitution Property


Hope this Helps.


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How to get 813 with exponents parentheses in three different operations
LenKa [72]

Answer:

813 = 800 + 10 + 3 = (8 \times 10^{2} ) + ( 1\times 10^1 ) + ( 3 \times 10^0 )  

Step-by-step explanation:

i) 813 = 800 + 10 + 3 = (8 \times 10^{2} ) + ( 1\times 10^1 ) + ( 3 \times 10^0 )  

4 0
3 years ago
Twice the difference of 3x and y increased by 5 times the sum of x and 2y
Phantasy [73]
The answer is 2(3x-y)+5(x+2y).
8 0
3 years ago
1) Sally sprints 300 yards in a minute. Quadra runs 20% further than Sally in the same time.
Free_Kalibri [48]
1) answer = 360
explanation =
-> 10% of 300 = 300*10
-> 10% of 300 = 30
-> 20% = 10% x 2
-> 20% = 30 x 2
-> 20% = 60
-> 300 yards ( distance they ran ) + 60 yards ( how much more distance Quadra ran ) = 360 yards
2) answer = Newton spends 10 minutes or 1/6 hours reading
explanation =
-> 25% = 1/4
-> 40*4= 10
-> 1 hrs = 60 min
-> 10 min x 6 = 60 min
-> 1/6 hrs = 10 min
3) answer = 30 fish
explanation =
-> 40% = 12
-> 10% = 3
-> 40*4=10 and 12*4=3
-> 10% + 40% = 50% so 12 + 3 = 15
-> 50% = 15 and 100% = 15 x 2
-> 100% = 30
4) answer = 30
explanation =
-> 1/4 is equal to 25 %
-> add up all the prrcentages ( 25% + 10% + 15% = 50% )
-> she have 50% of tej chocolates Which were in the tin she bought away and kept 15 chocolates to herself
-> 50% = 1/2
-> 50% x 2 = 100%
-> 15 x 2 = 30
3 0
2 years ago
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to
goblinko [34]

Answer:

$151.88 costs to Dan algebraic form

$245/2 = $122.50+20+15 = 157.5 is the answer though.

Step-by-step explanation:

35x+20(x-1)

35x + (20x -1)

35x +20x -1

35x -20x-20

x= 53/11

53/11 = 4.81

4.81 x 20 = $96.20 on chairs

4.81 x 15 = 72.15 on umbrella

96+72 = 168.35

245-168.35 = 76.65

76.65 + 20 = 96.65

Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20

Added together his costs out of 245 was $104.37+ 76.65 = $181.20

Costs of umbrella = 76.65/2 = 39.325

181.20 -29.325=151.87 rounded up to 151.87

As x = 53/11 the decimal of this is 4.81 = x

6 0
3 years ago
Simplify this expression. 8+3(60/5)
ddd [48]

Answer:44

Step-by-step explanation: 60/5 evaluates to 12

Multiply 3 and 12

1

3*(60/5) evaluates to 36

8+3*(60/5) evaluates to 44

8 0
3 years ago
Read 2 more answers
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