Given that line PN is a perpendcular bisector of line AB, then angles APN and BPN are equal to 90 degrees each.

Also, given that line PN is an angle bisector to angle CPD and angle CPD measures x, then the measure of angle DPN is $\frac{1}{2} x$ .

Thus, the measure of angle DPB = angle BPN - angle DPN
$=90- \frac{1}{2} x$

Therefore,
$\sin DPB=\sin\left(90- \frac{1}{2} x\right) \\ \\ =\sin(90)\cos\left(\frac{1}{2} x\right)-\sin\left(\frac{1}{2} x\right)\cos(90) \\ \\ =\cos(\frac{1}{2} x)$

5 0

3 years ago

If the initial population of panda was 100 and grew to 125 after the first year, which of the following functions best models th

Mumz [18]

Hi,

if growth continue to the same rate, meaning +25% more every year, then B is the answer :

100 (1.25)^t

3 0

4 years ago