Answer:
i'm pretty sure that it is 27 due to vertical angle theorem
let me know if its right :)
Step-by-step explanation:
An+1= 3n+3 +2
An+1 - An = <span>3n+5 -3n-2=3
An is aa arithmetic sequence
its sum is given by:
A0 +A1 +A2 + . . . + An = N(Ao + An) /2
where N = n-0=n
</span><span>S50= A0 +A1 +A2 + . . . + A50 = 50(Ao + A50) /2
</span>
S50 = 50(Ao + A50) /2
Ao=2, A50=150+2=152
S50= <span>50(Ao + A50) /2
</span>
finally
<span>S50=25*154=3850</span>
Answer:
$42.50
Step-by-step explanation:
Take 50 multiplied by .15 and that gives you 15% of 50. Then just subtract the answer from 50.
Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ