Answer:
4 cm
Step-by-step explanation:
Draw the line MD that is parallel to AQ. Consider triangles BMD and BAQ. These triangles are similar, because they have three pairs of congruent angles (angles BMD and BAQ are corresponding, angles BDM and BQA are corresponding and angle B is common). The coefficient of similarity is
because point M is midpoint of AB. Then
![\dfrac{BD}{BQ}=\dfrac{1}{2}\Rightarrow BQ=2BD.](https://tex.z-dn.net/?f=%5Cdfrac%7BBD%7D%7BBQ%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5CRightarrow%20BQ%3D2BD.)
Since
then ![DQ=2BD-BD=BD.](https://tex.z-dn.net/?f=DQ%3D2BD-BD%3DBD.)
Consider triangles CPQ and CMD. These triangles are similar, because they have three pairs of congruent angles (angles CPQ and CMD are corresponding, angles CQP and CDM are corresponding and angle C is common). The coefficient of similarity is
because point P is midpoint of CM. Then
![\dfrac{CQ}{CD}=\dfrac{1}{2}\Rightarrow CD=2CQ.](https://tex.z-dn.net/?f=%5Cdfrac%7BCQ%7D%7BCD%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5CRightarrow%20CD%3D2CQ.)
Since
then ![DQ=2CQ-CQ=CQ.](https://tex.z-dn.net/?f=DQ%3D2CQ-CQ%3DCQ.)
Hence you get ![CQ=DQ=BD=\dfrac{BC}{3}=\dfrac{12}{3}=4\ cm.](https://tex.z-dn.net/?f=CQ%3DDQ%3DBD%3D%5Cdfrac%7BBC%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7B3%7D%3D4%5C%20cm.)
36% I think.... Because there's 100 ppl and 36 of them like cats
42 - ( 42÷2 + 10 ) = 42 - ( 21 + 10 ) = 42 - 31 = 11 cars are silver ;
11 / 42 is the fraction of the cars are silver.
She can be late to work at least 7 times. 1,250 x 3= 3750. 3750 - 3000 = 750.
Answer:
Undefined
Step-by-step explanation:
First, slope is change in y over change in x, or rise over run. Plugging these points in (y1-y2)/(x1-x2)=(2-8)/(-6--6), or -6/0. Oh no! You can't divide by 0. Therefore, the slope is undefined.
You can also see this by graphing the line, which is a straight vertical line. Vertical lines have undefined slopes.