Answer:
Step-by-step explanation:
Complementary angles add up to 90
6x + 29 + x + 5 = 90
6x + x + 29 + 5 = 90
7x + 34 = 90
7x = 90 - 34 {Subtract 34 from both sides}
7x = 56
x = 56/6 {Divide both sides by 6}
x = 8
∠A = 6x + 29
= 6*8 + 29
= 48 + 29
∠A = 77°
Functions cannot have the same X value (the first number), but they can have the same Y value (the second number).
<span>A. {(1,2),(2,3),(3,4),(2,1),(1,0)}
B. {(2,−8),(6,4),(−3,9),(2,0),(−5,3)}
C. {(1,−3),(1,−1),(1,1),(1,3),(1,5)}
D. {(−2,5),(7,5),(−4,0),(3,1),(0,−6)}
Choice A. has two repeating X values [(1,2) and (1,0), (2,3) and (2,1)]
Choice B. has one repeating X value [(2, -8) and (2,0)]
Choice C. all has a repeating X value (1)
Choice D doesn't have any repeating X values.
In short, your answer would be choice D [</span><span>{(−2,5),(7,5),(−4,0),(3,1),(0,−6)}] because it does not have any repeating X values.</span>
Answer: (1,4)
Explanation: The domain looks at the x coordinates and (1,4) is the only x coordinate in the range given (due to the bracket)
To solve this you first need to turn your mixed numbers into improper fractions. to do this for
you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction
.
You repeat this process with
to get
.
Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so
Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.
Now, to simplify
you first divide both the numerator and denominator by 7 to get
.
Finally, you can take 10 out of the numerator to make 