Answer:
Hi, Hope this will help :-)
Given
∠SRT ≅ ∠STR
m∠SRT = 28, m∠STU = 4x
Find the value of x.
To proof
As given
m∠SRT = 28
Thus
∠STR = 28
( As given ∠SRT ≅ ∠STR )
∠STU +∠ STR = 180°
( by Linear pair property )
put the value of∠STR in the above equation
we get
∠STU = 180 - 28
∠STU = 152°
∠STU = 4x
thus we get
4x = 152°
x = 38°
Hence proved
Answer: is 36
Step-by-step explanation:
Lets Get started :)
The terms given are
- 8 , + 16 , - 32 , + 64
The formula for finding the sum of this geometric sequence is:
Sn =
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7
Sn =
= -344There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums
Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2
+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512
( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344