Answer:

Step-by-step explanation:
By the theorem of intern angles of a triangle, we know that the sum of all intern angles of a triangle must be 180°, therefore:
*There are two equal angles because there are two equal sides

Now, applying the law of sines, we can find side a. The law of sines is represented by the following equation:

Hence, if b=100, alpha=40° and betha=70°, solve for a:
Answer:
28.3
Step-by-step explanation:
12/20 = 17/x
cross multiply
12x=340
divide each side by 12
x=28.3333333333.......
round it to nearest tenth
28.3
Answer:
$465 at Back Street
$515 at Main Street
Step-by-step explanation:
980 (total) - 50 (the difference between the two) = 930
930/2 = 465 (back street)
465 + 50 (the difference) = 515 ( main street)
CHECK: 465 + 515 = 980
Step-by-step explanation:
If there are 3 geometric means between 120 and ¹⁵/₂, then the sequence is:
120, 120r, 120r², 120r³, ¹⁵/₂
Therefore:
120r⁴ = ¹⁵/₂
r⁴ = ¹/₁₆
r = ½
The sequence is therefore:
120, 60, 30, 15, ¹⁵/₂