Answer:
I think the answer is -32.
Step-by-step explanation:
I'm not sure.
The measure of angle 1 and 2 should add up to 180°, because it forms a straight line. The same goes for the sum of angle 3 and 4.
Since we are given the measure of angle 2, we can find the measure of angle 1 by subtracting 143° from 180°.
180°-143° = 37°
We know that the intersecting lines form 2 sets of vertical angles, which are congruent. This means that the angles opposite from each other have the same measure. Therefore, both angle 2 & 4 have a measure of 143°, while angle 1 & 3 have a measure of 37°.
Answer:
The given equation is NOT justified.
Step-by-step explanation:
Here, the given equation is
= 
Now, here Consider the left hand side and simplifying the left side by operating on the like terms,
⇒
= 
=
Here, Left side of equation ≠ Right side of the equation
Hence,
≠ 
Answer:

Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t.
This means that the population growth is modeled by the following differential equation:

Which has the following solution:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The population has doubled in 10 years
This means that
. We use this to find r.







So the equation that will estimate the population of the community in t years is:

<span>The answer is A because the die rolled first time can in no way affect the outcome of the second roll of the die, so both the events are independent events which do not affect each other.</span>