Answer:
= 10 
Step-by-step explanation:
The n th term of a geometric sequence is
= a 
where a is the first term and r the common ratio
Here a = 10 and r = 30 ÷ 10 = 3, thus
= 10
That is the slope
rise/run
we see we have (2/5,1/2)
rise is y, run is x
(x,y)
((1/2)/(2/5)=(1/2)(2/5)=2/10=1/5
unit rate is y=(1/5)x
Answer:
36 : 29
Step-by-step explanation:
Require to simplify the ratio
180 : 145
Divide both parts by 5
= 36 : 29 ← in simplest form
Simplest form means that no other number but 1 will divide into the 2 parts of the ratio.
Answer:
g(-7)= -37
Step-by-step explanation:
g(y)= 7y + 12
plug in -7
g(-7)= 7(-7) + 12
simplify
g(-7)= -49 +12
g(-7)= -37
The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.
The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.
In any triangle, the interior angles' measures add up to 180 degrees. So we have
? + 93 + (180 - 128) = 180
? + 93 - 128 = 0
? = 128 - 93
? = 35
