Answer:
x = 72
Step-by-step explanation:
Make the problem simpler by eliminating the fractional coefficients:
x-9= 1/4x + (1/4x + 12) + (1/4x - 3), when multiplied by 4, becomes:
4x - 36 = x + x + 48 + x - 12
Summing up all the x terms, we get:
4x - 2x - x = 48 - 12 + 36
Then x = 72
The given statement is proved by side-angle-side (SAS) theorem.
Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.
The statement is proved by SAS theorem
<u>Side-Angle-Side (SAS) theorem: </u>
The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.
Hence, The given statement is proved by side-angle-side (SAS) theorem.
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Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer: C 20
Explanation: Plug in 2 for k.
2^2 - (2-10) + 4(2) = 20