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
Since 
then 
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
Since 
then 
Hence you get 
Answer:
Step-by-step explanation:
A recipe for a pan of brownies requires 1 ½ cups of milk. Converting the 1 1/2 to improper fraction, it becomes 3/2 cups of milk
The recipe also requires 2/3 cups of sugar
It also requires 1 1/5 cups of oil. Converting to improper fraction, it becomes 6/5 cups of sugar
Total number of cups of ingredients in the mixing Bowl will be sum of the amount if milk, sugar and oil. It becomes
3/2 + 2/3 + 6/5 = (45 + 20 + 36)/30
= 101/30 cups of ingredients
Answer:
Step-by-step explanation:
LCM is least common multiple. It means the least multiple that both 100 and 120 have in common. 600 is the LCM. 20 is the GCF.
C. Cube
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Answer:
infinite points along the line
Step-by-step explanation:
This is the equation for a line. A line has infinite points. So there are infinite solutions along the line
