I am going to make what is hopefully not an incorrect assumption and say that since the segmentXSZ is black and the other lines are blue, that XS is congruent to ZS. If that be the case we have a side in each triangle that is congruent to each other and an angle that is marked as congruent. Angles XSW and ZSY are vertical angles. By definition, vertical angles are congruent. In each triangle, then, we have an angle, a side and an angle which gives us the congruency postulate ASA.
Answer: -2
Step-by-step explanation:-2
This can be expressed as exponential growth of the form:
f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time
In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...
6500=5000r^2 divide both sides by 5000
1.3=r^2 take the square root of both sides and note that we know r>0
r=1.3^(1/2) so our equation becomes:
f=5000(1.3)^(1/2)^t and knowing that (a^b)^c=a^(b*c) we can say:
f=5000(1.3)^(t/2) so for t=18
f=5000(1.3)^9
f≈53022 (to nearest whole bacteria)
Answer:
Step-by-step explanation:
A 180 counterclockwise rotation of (5, 4).
The transformation rule is as follows:
turns into 
.
Answer:
B.
f(x) = 3x + 26;26≤ y ≤ 35
Step-by-step explanation:
This would be a linear equation in the form
y= mx+b
where b is the initial value (or 26 clients)
m is the slope, or the amount they want to increase by each week
y = 3x+26
Let x =0
y = 26 or what we start with
Let x =3, or be week 4 (we started with x= 0)
y = 3*3 +26
y =9+26
y= 35
