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melamori03 [73]
3 years ago
6

Here's another geometry thing I suck at...

Mathematics
1 answer:
solniwko [45]3 years ago
6 0
A = 133; b = 31; c = 82; d = 64.
Opposite angles in an inscribed quadrilateral are supplementary; this means that d + 116 = 180.  Subtracting 116 from both sides, we have d = 64.

By the same theorem, c + 98 = 180; subtracting 98 from both sides, we have c = 82.

Inscribed angles are equal to 1/2 the measure of the intercepted arc.  Using this, we have

116 = 1/2(a+99)

Multiplying both sides by 2, we have 
232 = a+99

Subtract 99 from both sides:
232 - 99 = a + 99 - 99
133 = a

We also have that 
82 = 1/2(133+b)

Multiplying both sides by 2, we have:
164 = 133 + b

Subtract 133 from both sides:
164 - 133 = 133 + b - 133
31 = b
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Does Anyone know this?
lukranit [14]

Answer:

∠AEC = 139°

Step-by-step explanation:

Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1

∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle

Substitute values into the equation

11x - 12 + 4x + 1 + 4x + 1 = 180, that is

19x - 10 = 180 ( add 10 to both sides )

19x = 190 ( divide both sides by 19 )

x = 10

Hence

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence

∠AEC = (15 × 10) - 11 = 150 - 11 = 139°

6 0
3 years ago
Simplify.
Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0
1 year ago
Read 2 more answers
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Answer:

35.

Step-by-step explanation:

3+5 = 8, 7 goes into 35 5 times. Therefore its 35

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2 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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I just took the quick check

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