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..
Answer: r=14
Step-by-step explanation:
because they are vertical angles
7r+6=8r-8
solving for r you get
r=14
Answer: 112
Step-by-step explanation:
Following PEMDAS, we need to add the numbers in the parenthesis first
8(7+7) becomes 8(14)
Now we just multiply 8 and 14
8(14) = 112
For this case we have that the expression in its exact form is the same, that is:
If it is expressed in decimal form we have:
If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:
Answer:
Given data:
The given distance is d=26 km.
We know 1 kilometer is equal to approx 0.621 miles.
1km= 0.621 miles
Multiply the above expression with 26 on both sides.
26(1 km)= 26(0.621 miles)
26 km= 16.146 miles.
Thus, 26 kilometer is equal to 16.146 miles
