Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:
The first one: 
is a geometric sequence of first term (
) "1" and common ratio (r) " 
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one: 
is a geometric sequence of first term "1", and common ratio (r) " 
". Again, since the common ratio is smaller than one, we can find its infinite sum:
now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
The total weight of the Italian sandwich in its simplest fraction is 3/5.
meat : 0.35 in fraction 35/100
veggies : 0.15 in fraction 15/100
sauce : 0.05 in fraction 5/100
bread : 0.05 in fraction 5/100
Total weight = 35/100 + 15/100 + 5/100 + 5/100
= (35 + 15 + 5 + 5) / 100
= 60/100
To simplify the fraction:
60/100 ⇒ 60 ÷ 10 = 6 ; 100 ÷ 10 = 10 ⇒ 6/10
6/10 ⇒ 6 ÷ 2 = 3 ; 10 ÷ 2 = 5 ⇒ 3/5
Answer: -1
Step-by-step explanation:
1 - (-3) - 5 = 1 + 3 - 5
Thats because subtracting by a negative number is the same as adding the negative number's absolute value (Distance away from zero).
(1 + 3) - 5 = -1
PEMDAS Addition and Subtraction from left to right.
Answer: <B is congruent to <E
Step-by-step explanation:
There is no “angle,angle,angle” theorem when proving triangles are congruent.
There are 5 however that do:
ASA (angle, included side, angle)
SSS (side, side, side)
SAS (side, included angle, side)
AAS (angle,angle, non included side)
HL (hypotenuse,leg)
