Answer:
-8
Step-by-step explanation:
3+8+8-2=17
7+4+5+1=17
10+12+3+x=17
x=17-25
=-8
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
The answer is 13 to your question
Step-by-step explanation:
so, he will not wear any pants ? socks ? not to mention underwear ?
anyway, we have to deduct the $35 for the shoes, as he is seemingly buying them in any case.
so, we are left with 100 - 35 = $65 for shirts.
as one shirt costs $15, we need to see how often 15 fits into 65, as that is the answer how many shirts he can buy for this money.
65 / 15 = 4.333333333...
since he cannot buy a part shirt, we can only rely on the integer part of the calculation.
so, he can buy 4 shirts and will have $5 left.
