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vovikov84 [41]
2 years ago
7

Quadrilateral ABCD is inscribed in a circle What is the measure of angle A?

Mathematics
2 answers:
Contact [7]2 years ago
6 0

Answer:

77°

Step-by-step explanation:

ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\   (5x + 10) \degree =180° \\  5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x =  \frac{170}{5}  \\ x = 34 \\ \angle A  = (2 \times 34 + 9) \degree  \\  \huge \red{ \boxed{\angle A= 77 \degree}} \\

Katen [24]2 years ago
4 0

Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

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lawyer [7]

Answer:

#1 c. -1

#2 b. 1 is less than or equal to x which is less than or equal to three

#3 a. 37.5 is less than or equal to y which is less than or equal to 87.5

#4 b. 3

#5 b. (2, 3, 4, 5, 6)

#6 d. (45, 55, 65, 75, 85)

Step-by-step explanation:

Domain is the x value and y is the range. For #1 the answer is c because you can't go golfing for -1 hours. For #2, the answer is b because they are all the acceptable values for the domain which is represented by x and x is the time spent at the golfing bay. The answer would not be c because you could go to the bay for 2.75 hours it doesn't have to be just 1, 2, 3.  For #3 the concept is similar because the range aka total cost can be all the values in between 37.5 and 87.5. For #4  a reasonable domain value which is number of people is 3 because you can't have 2.5 people and you can't have -4 people and thus all of the above isn't possible leaving three. #5 is b because you can only have those set numbers to represent people. If you chose a that would mean you could have 1.5 people which isn't possible thus only numbers 2, 3, 4, 5, and 6 are possible. For #6 The answer is d because when you plug in numbers 2, 3, 4, 5, 6 into the x value one at a time and solve the equation, those numbers equal t. Just use your basic knowledge to figure these out there isn't much math you just have to know that domain means x and range means y. y is 9/10 always by itself on one side of the equal sign. When in doubt think, can I have a half a person. Think of the real world and apply to math. Goof luck on future problems!

7 0
3 years ago
29.5 divided by 0.4What is the quotient for the equation above?0.73757.37573.75737.5
frutty [35]
Hope this helps… mark brainliest please

5 0
2 years ago
1) 2/7×1/2 <br>2) 5/8×4/5 <br>3) 1/6×2/3<br>4) 1/3×3/4<br>5) 1/2×2/3<br>6) 1/3×2/5​
nignag [31]
1) 1/7
2) 1/2
3) 1/9
4) 1/4
5) 1/3
6) 2/15
hope this helped:)
5 0
2 years ago
How long will it take for an undersea sonar pulse<br> to travel 3 km?
Deffense [45]

Answer:

2 seconds

Step-by-step explanation:

6 0
2 years ago
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
s2008m [1.1K]
14 hits

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8 0
3 years ago
Read 2 more answers
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