Answer:
A 40
Step-by-step explanation:
We can find angle K
J + K + L = 180 The angles of a triangle add to 180
50 + K + 90 =180
140 +K = 180
Subtract 140 from each side
140-140 + K = 180-140
K = 40
Since the triangles are congruent
J = P
K = N
L = M
We want to find N
K = N = 40
K = N
Answer:
4t^2 - 32t + 64.
Step-by-step explanation:
f(x) = 4x2 – 8x + 4
f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4
= 4(t^2 - 6t + 9) - 8t + 24 + 4
= 4t^2 - 24t + 36 - 8t + 28
= 4t^2 - 32t + 64.
Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1. 
Given
2. 
As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3. 
Given
4. 
Reflexive property
5. 
SAS postulate
6. 
Corresponding parts of congruent triangles are congruent
7. 
Inverse alternate interior angles theorem
Answer:
When we know all 3 sides, we use Heron's Formula
area = sqrt [s *(s-a) * (s-b) * (s-c)]
where "s" is the semi-perimeter which in this case equals
s = (6 + 8 + 12) / 2 = 13
area = sqrt [13 * 5 * 7 * 1]
area = sqrt 455
area = 21.3307290077
area = 21.33 square feet (rounded)
Step-by-step explanation:
30x^7
Multiply the coefficients (6•5) to get 30, then add the exponents (4+3) to get 7
Hope this helps!
