Answer is C. HMG and LMK
see attached picture to explain
Vertical angles are congruent and opposite of each other where two lines cross
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
Answer:
24 is 44% of 54.55
Step-by-step explanation:
24 ÷ 44% = y ÷ 100%
Solve for y - To do so, we will use cross multiplication.
44y = 24 × 100
44y = 2400
y = 2400 ÷ 100
y = 54.55
16 because the AB side gotta be a little bit bigger than the two other sides
Answer:
AE = 11.76 units
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20
To find AE :
In ΔABC and ΔACE,
m∠ABC = m∠ACE ( Given )
∠A = ∠A ( Common angle for both the triangles )
By AA postulate of similarity of triangles, ΔABC ~ ΔACE
So, proportion of the corresponding will be equal.

Hence, AE = 11.76 units