Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Answer:
P(F/C) = 0.75
P(C^F) = 0.09
P(C^F) = P(F^C)
Step-by-step explanation:
P(C^F) = 9% = 0.09
P(C^F) = P(F^C)
P(F/C) = P(F^C)/P(C)
= 0.09/0.12 = 0.75
Answer:
$3242
Step-by-step explanation:
If each room mates bank account loses $810.50 after paying rent, it means they are spending that on rent. Since there are 4 friends, just do $810.50 times 4 and that's the answer of how much rent costs in total.
The solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)
<h3>Solving system of equations </h3>
From the question, we are to determine the solution to the given system of equations
The given system of equation is
y = 2/3 x + 3 ----------- (1)
x= -2 ----------- (2)
The value of x has been given in the second equation of the system of equations.
Now, we will determine the value of y
From the second equation, we have that
x = -2
Substitute the value of x into the first equation,
y = 2/3 x + 3
y = 2/3 (-2) + 3
y = -4/3 + 3
y = 5/3
Hence, the solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)
Learn more on Solving system of equations here: brainly.com/question/13729904
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