Answer:
Step-by-step explanation:
Here we have KP = PE (tangents from outside the circle)
Therefore, 2KP = PE + 1 = KP + 1
Hence, 2KP - KP = 1 or KP = 1 = PE
Since KE is the base of triangle KPE, where ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK
Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK = 180
Therefore, 60° + ∡PKE + ∡PEK = 180
Hence, ∡PKE + ∡PEK = 180° - 60° = 120°
Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;
∡PKE + ∡PEK = 2·∡PEK = 120° which gives
∡PEK = 60° = ∡PKE
Therefore, ∡KPE = ∡PEK = ∡PKE = 60°
Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1
EK = 1.
Answer:4y - 8 + y + 46 = 7y + 40 - 4y
4y + y - 7y + 4y = 40 + 8 - 46
2y = 2
Y=1
Option B
The average tax rate is 20.63 %
<em><u>Solution</u></em><em><u>:</u></em>
Given that,
Susan earned $91,000 after deductions and had a total tax due of $18,773
To find: average tax rate
From given,
Earnings = 91, 000
Tax amount = 18, 773
Let "x" be the percent of tax paid
Then, we can say,
x % of 91000 = 18773
Solve the above
Thus average tax rate is 20.63 %
Answer:
corner of c and d or d and c
Answer:
The answer is Q(-4, 2) R(8,8)