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JulijaS [17]
3 years ago
11

Which statement is true about ∠BPD?

Mathematics
2 answers:
andrey2020 [161]3 years ago
5 0

Answer:

c

Step-by-step explanation:

i just took the test and got it right

nalin [4]3 years ago
4 0

Option C:

∠BPD congruent to ∠APC.

Solution:

To find which statement is true about ∠BPD.

Option A: It is adjacent to ∠APC.

∠BPD adjacent to ∠APD and ∠BPC.

So, it is not adjacent to ∠APC.

Hence it is false statement.

Option B: It is complementary to ∠BPC.

<em>In a straight line adjacent angles are supplementary.</em>

In straight line CD, ∠BPC + ∠BPD = 180°.

So, ∠BPD is supplementary to ∠BPC.

Hence it is false statement.

Option C: It is congruent to ∠APC.

∠APC and ∠BPD are vertically opposite angles.

<em>If two lines are intersect, then vertically opposite angles are congruent.</em>

So, ∠BPD ≅ ∠APC.

Hence it is true statement.

Option D: It is linear to ∠APC.

∠APC and ∠BPD are not adjacent angles.

So they did not form a linear pair.

Hence it is false statement.

Therefore, option C is the correct answer.

∠BPD congruent to ∠APC.

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oee [108]
It is substitution. Because you are substituting 3=y into x+5=3
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3 years ago
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
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3 years ago
What is 8 1/5 as a improper fraction
krek1111 [17]

Answer:

41/5

Step-by-step explanation:

So the answer is that 8 1/5 as a decimal is 8.2.

We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.

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The equation of the line that is parallel<br> to 4x+2 and passing through (5,15)
Mila [183]

Answer:

y=4x-5.

Step-by-step explanation:

slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;

1) to find value of k:

if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;

2) to find the value of 'b':

if to substitute the given coordinates into the equation of the given line, then:

15=4*5+b, b= -5.

3) finally, y=4x-5

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Answer:

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Step-by-step explanation:

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