Answer:
x = 7
Step-by-step explanation:
Similar
The two triangles
1) the one making up the peak of the large triangle
2)the large triangle
are similar. That is because the 2 bases are parallel and corresponding angles are equal. The third angle at the peak is common. So by AAA they are similar.
Proportion
Therefore the sides are in proportion.
5/40 = 3/(2x + 10)
Solution
Cross multiply
5*(2x + 10) = 40*3
Remove the brackets on the left. Combine the right.
10x + 50 = 120
Subtract 50 from both sides
10x + 50 - 50 = 120 - 50
10x = 70
Divide by 10
10x/10 = 70/10
x = 7
1) a:1 b:2
2) a:2 b:there is no b
3)a:-1 b:-3
(r + 10)(r - 4)
To double check:
r * r is r^2
10 * r = 10r; -4 * r = -4r
Combine to get 6r.
-4 * 10 = -40
Common Factors of 32 and 36
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
<span>So the common </span>factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4