Answer:
x = 
Step-by-step explanation:
Given
3x -
= - 
Multiply through by 10, the lcm of 5 and 2 to clear the fractions
30x - 8 = - 5 ( add 8 to both sides )
30x = 3 ( divide both sides by 30 )
x =
= 
We know that
step 1
if ∡YWZ=17°
then
∡XWZ=17°*2-----> 34°----> because triangle XWY and triangle YWZ are congruents
step 2
∡WXY=∡WZY-------> because triangle XWY and triangle YWZ are congruents
we know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180°=∡XWZ+2*∡WXY---------> ∡WXY=[180-∡XWZ]/2
∡WXY=[180-34°]/2-------> ∡WXY=73°
the answer is
∡WXY=73°
Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
Answer:
The answer would be D. 5
Step-by-step explanation:
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4,
..........
Ratio of 2nd and 1st term of the sequence = 
Ratio of 3rd and 2nd term of the sequence = 
= 
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = 
First term of the sequence 'a' = 5
nth term of a geometric sequence = 
Therefore, nth term of the given term will be 
Now we have to find the 10 term of the given sequence.
For n = 10,

= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537