Answer:
? = 7.
Step-by-step explanation:
The two triangles are similar because of the AA Theorem.
The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!




? + 21 = 7 * 4
? + 21 = 28
? = 28 - 21
? = 7
Hope this helps!
Answer:
×
= 
Step-by-step explanation:
× 
To solve the above, we need to follow the steps below;
4k+2 can be factorize, so that;
4k +2 = 2 (2k + 1)
k² - 4 can also be be expanded, so that;
k² - 4 = (k-2)(k+2)
Lets replace 4k +2 by 2 (2k + 1)
and
k² - 4 by (k-2)(k+2) in the expression given
× 
× 
(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,
So our expression becomes;

Therefore,
×
= 
Answer:
Below in bold.
Step-by-step explanation:
The hexagon is made up of 6 equilateral triangles.
So the Base = 12 cm.
Height a = 12 cos 30 = 10.392 cm
So area of 1 triangle = 1/2 * 12 * 10.392 cm^2
- and total area = 6 * 1/2 * 12 * 10.392
= 36 * 10.392
= 374.11 cm^2 to the nearest hundredth.



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<em>round</em><em> </em><em>as</em><em> </em><em>you</em><em> </em><em>wish</em><em>.</em>