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Romashka-Z-Leto [24]
3 years ago
11

Sides $\overline{AH}$ and $\overline{CD}$ of regular octagon $ABCDEFGH$ are extended to meet at point $P$. What is the degree me

asure of angle $P$?
i know its not 90 tho.
Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0
Interior angles of a regular octagon all have the same measure of 135 degrees. So if angle BAH has measure 135, then angle BAP (which is supplementary to BAH) has measure 45. Similarly, BCP (congruent to BAH) is also of measure 45 degrees.

Next, since ABC has measure 135 degrees (congruent to BAH), so the corresponding external angle has measure 225 degrees.

Now, ABCP is a quadrilateral. For any quadrilateral, its interior angles sum to 360 degrees. We have three of these angles, so we can easily find the last, APC.

m\angle BAP+m\angle_{\text{ext}} ABC+m\angle BCP+m\angle APC=360^\circ

45^\circ+225^\circ+45^\circ+m\angle APC=360^\circ

\implies m\angle APC=45^\circ
NNADVOKAT [17]3 years ago
3 0

Answer:

The answer is 45 degrees

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Given f(x) = 4x + 3 and f(x) = 27, what is x?
Airida [17]

Step-by-step explanation:

f(x)=4x+3. f(x)=27

so 27=4x+3

27-3 =4x

24=4x

x=24/4

x=6

5 0
3 years ago
Somebody please help me with this question!​
marta [7]

Answers:

P(A) = 7/12

P(B) = 1/2

=====================================================

Explanation:

To see how I calculated P(A), check out this link to this very similar question

brainly.com/question/27669586

--------------------

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

  • 1 copy of "2"
  • 3 copies of "4"
  • 5 copies of "6"
  • 5 copies of "8"
  • 3 copies of "10"
  • 1 copy of 12

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

3 0
2 years ago
Worth 20 points
bezimeni [28]

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

5 0
2 years ago
Explain why there can be no infinite geometric series with a first term of 12 and a sum of 5.
Iteru [2.4K]

Answer:

Step-by-step explanation:

When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7

3 0
3 years ago
Which values for x, y, and z satisfy the equation 7xy/z=28
nirvana33 [79]

Answer:

try x= 4z/y

Step-by-step explanation:

7 0
3 years ago
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