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dedylja [7]
3 years ago
11

Given: PKHE - inscribed, m∠E=120° m∠EPK=51°, PF ∥EH Find: m∠KPF, m∠H.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0

Answer:

KPF = 9 and H = 129

Step-by-step explanation:

An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.  

H= 180-EPK and K = 180-E so H = 129 and K = 60

Now PF and EH are parallel, so PE is a transversal.   That means FPE = 180 - E = 60.  Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.

Let me know if you don't see how I did any of this and I'll be happy to explain it..

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Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family
RideAnS [48]

A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2     if    x < 5  

f(x) = x - $3  if   x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2     if    x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3  if   x ≥ 5   (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612

3 0
2 years ago
Sally is driving at 30 miles an hour on the Freeway. The next town Sally will reach is 20 miles away. How long will it take Sall
lilavasa [31]

Sally to get to the next town in 2/3 hour.

According to the statement

The distance covered by sally to get next town is 20 miles

Speed at which sally drive is 30 miles per hour

We know that the

TIME = DISTANCE / SPEED

Substitute the values in it and

TIME = 20 / 30

TIME = 2/3 hour

So, Sally to get to the next town in 2/3 hour.

Learn more about SPEED here brainly.com/question/4931057

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5 0
2 years ago
Nate is 4 years older than 2 times his brother’s age. Write a rule that represents Nate’s age “n” as a function of his brother’s
IRINA_888 [86]

Answer:

n = 2b + 4

Step-by-step explanation:

4 years older = +4

2 times his brother = 2b

n= 2b+4

6 0
3 years ago
The Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day.
OLEGan [10]

Answer:

161,084,000

Step-by-step explanation:

7 x 11,506,000 = 80,542,000

80,542,000 x 2 = 161,084,000

6 0
2 years ago
If you were to add 5 to my number and then divide by 4, you would get 7
Norma-Jean [14]
Let's make an equation. T will be the number.
(T+5)/4=7
Let's multiply both sides by 4 to get T by itself.
T+5=28
Subtract 5 from both sides.
T=23
Your number is 23.
3 0
3 years ago
Read 2 more answers
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