Answer:D 120 degrees, F 60 degrees
Step-by-step explanation:
it is a parallelogram which means the 2 angles add up to 180 degrees. 5x+2x+12=180. Then solve, 7x=168, x=24. Then Substitute back into the angles. E is 5*24 which is 120. F is same as D which is 2x+12=60. Hope this helped
Answer:
Step-by-step explanation:
To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.
We need to find it because, if two lines are parallel, then that means they have the same slope.
The best way to do this is solve for y:

Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.
Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:

So our line is:

The least common multiple should be 36 because it is the smallest number 4 and 9 go into.
Answer:
1/2.
Step-by-step explanation:
There are 2 quadrilaterals which have 4 congruent sides in the list: A square and a rhombus, The square is the one with four right angles.
So the required probability is 1/2.
Answer:
Option B is correct.
represents the population of the pack of wolves after t years
Step-by-step explanation:
The exponential growth function is given by;
......[1]
where
a represented the initial value
r represents the rate(in decimal)
t represents the time in years
As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.
⇒ a = 88 and r =2.5% = 0.025.
Substituting these values in equation [1], we have;
or
Therefore, the population model of the pack of wolves after t years is given by: