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kotegsom
1 month ago
5

Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
tester [12.3K]1 month ago
5 0
Given that ∠ABC is an inscribed angle, we need to determine the measures of ∠BDA and ∠BCA. To begin, we first calculate the central angle ∠BOA, which corresponds to the intercepted arc measure of BA: ∠BOA = 360° - 250° = 110°. Thus, the intercepted arc AB measures 110°. Applying the relevant formulas: ∠BDA = 55°. Next, we find ∠BCA. In the quadrilateral AOBC, with AC and BD being tangents, we know that ∠CAO = 90° and ∠CBO = 90°. Since the sum of angles in a quadrilateral is 360°, we set up the equation ∠AOB + ∠CAO + ∠CBO + ∠BCA = 360°. Substituting known values, we find ∠BCA = 360° - 290°, yielding ∠BCA = 70°. Thus, the proof is completed.
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Which is the missing number: 9876, 6447, 2527, x?
Leona [12618]

This question reveals an intriguing pattern.

The rule or pattern to follow here is:

For the left side of the number compared to its predecessor: (First digit x Third digit + 1)

For the right side: (Second digit x Fourth digit -1)

For instance, consider 6447. Next, let's examine its previous number, 9876.

Now, 9\times 7+1=64 and

8\times 6-1=47

that's how we arrived at 6447

Next, for the third number, 2527, let's look at its previous number, 6447

Now, 6\times 4+1=25

and 4\times 7-1=27

that's how we reached 2527

Following the same reasoning, the missing number should be 534.

This conclusion came from applying the rule of the pattern as:

(2\times 2)+1=5

and

(5\times 7)-1=34

Thus, we derived 534.



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2 months ago
There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a
PIT_PIT [12445]
In a semicircle, there exist pi radians, whereas a full circle consists of 2pi radians. Since 2pi equals approximately 2*3.14, it results in roughly 6.28 radians in half a circle. The total of 2pi radians corresponds to 360 degrees.
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1 month ago
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Zina [12379]

Response:

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Step-by-step explanation:

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Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,
AnnZ [12381]

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

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The numbers 1 through 40 are placed in a hat to determine the order in which students will give an oral report. Event A is being
zzz [12365]

Detailed explanation:

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