Answer:
a) m∠T
b) line W and line Z
c) ∠ZTU
d) ∠YTX
e) 90° or m∠5
f) m∠1 and m∠2
g) m∠2
h) 180° or m∠1 & m∠5 or m∠2 & m∠3 & m∠4
i) line WTY and line YTX
j) the angle bisector U
Step-by-step explanation:
Answer:
The probability is .034375 or 11/320
Step-by-step explanation:
the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.
multiplied by the probability of a sophomore being chosen 10/80 which equals .125.
multiply those together and you get your probability. 0.034375 or 11/320
The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
Answer:
0.0021
Step-by-step explanation:
move decimal three to the left
Answer:
Step-by-step explanation:
7x - 8(2x - 3) + 2 = 8
Expand bracket and Minus 2 on both sides
7x - 16x + 24 = 6
Minus 24 on both sides, and simplify the "x's"
-9x = -18
Divide by -9 on both sides
x = 2