Answer:
I thought is should only take pic of 1 question
Step-by-step explanation:
Rick Astley,Donald trump,Obama,China has conora
Let one of the player's score be x.
The other player's score will be x + 13.
Their total score is 121.
⇒x + x + 13 = 121
<u>Solve x :</u>
x + x + 13 = 121
2x + 13 = 121
2x = 108
x = 54
Answer: The player with the fewer points scored 54.
Answer:
I would say 16/663 but I still have a suspicion it may be 20/663
Step-by-step explanation:
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.)