Answer:
<ABC = 54 degrees
Step-by-step explanation:
Taking the sum of angle on the straight line ABD as 180 degrees
3x+9 + 9x - 9 =180
12x = 180
x = 180/12
x = 15 degrees
Since <ABC = 3x+9 (vertically opposite angles)
<ABC = 3(15)+9
<ABC = 45+9
<ABC = 54 degrees
True this is because of the number of angles a quadrilateral has which is 4
Answer:
Option C
Step-by-step explanation:
Given expression in the question is,
y = 
To get the value of t,
Take the log on both the sides of the expression,
log(
) = ![\text{log}[(2^{\frac{t}{30}})]](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D%5B%282%5E%7B%5Cfrac%7Bt%7D%7B30%7D%7D%29%5D)
log() = 
t = 
t = ![30[\text{log}_2(\frac{y}{7})]](https://tex.z-dn.net/?f=30%5B%5Ctext%7Blog%7D_2%28%5Cfrac%7By%7D%7B7%7D%29%5D)
[Since, 
]
Therefore, Option C will be the answer.
-10. One type of system of equations that results in infinite solutions is one where both sides of the equation are exactly equal. Here, setting the second equation equal to -10 becomes 2y - 4x = -10. This can be rearranged into 2y = 4x - 10. Dividing everything by 2 results in y = 2x - 5, which is exactly what the first equation is. Substituting one equation into another, we get 2x - 5 = 2x - 5, which is a true statement for all values of x.
Answer:
$11.60
Step-by-step explanation:
4x = 46.4
x = 11.6
