Answer:
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Step-by-step explanation:
From the figure, it is clear that:
m∠KIH = m∠HIJ + m∠KIJ
Given
now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation
m∠KIH = m∠HIJ + m∠KIJ
68° = (2x + 6)° + (9x - 4)°
switch sides
Group like terms
Subtract 2 from both sides
Simplify
Divide both sides by 11
Simplify
Hence, the value of x = 6
Therefore,
m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°
m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Answer:
Step-by-step explanation:
Let x represent the number of times Giselle uses the athletic club and y represent money left in account.
We have been given that each time she uses the club, $15 is deducted from the account. The amount used after using the club after x times would be 
.
We are also told that Giselle pays $220 in advance on her account at the athletic club.
The money left in account after x uses of athletic club would be money in account initially minus amount used for using the club x times.
Therefore, our required equation would be .
6/10 = 3/5
Simply divide the numerator and denominator of 6/10 by 2. 6/10 is the same as 3/5.
Answer:
y=6
Step-by-step explanation:
The equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)
(1, 2): 2=2+b --> b=0
So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).
Hope this is what you are looking for
