Solving for x in the given images; we have; x = 157/12 and x =11 respectively.
<h3>Congruent triangles</h3>
From the law of Congruence in the first image (triangle)
We have;
For the second image;
We have;
Read more on congruent triangles;
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Answer:
= 3n - 1
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3, thus
= 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1
Opening up the bracket
-5x-4x+24= -3
-9x= -3 - 24
-9x = -27
divide both sides by -9
x= 3
Hope this helps u out :D
Answer:
The GCF is 3w
Step-by-step explanation:
You have to find the GCF of
6w^3, 3w^2, 9w
You can start with 3. Then get:
6w^3/3 = 2w^3
3w^2/3 = w^2
9w/3 = 3w
The following factor is w. It has to have an exponent of one, as it the smallest exponent present in the 3 numbers:
2w^3/w = 2w
w^2/w = w
3w/w = 3
Expression:
6w^3 - 3w^2 - 9w= 3w(2w^2 - w - 3)
The GCF is 3w.