5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
Answer:
The answer is 144.
Step-by-step explanation:
Cause, 6 x 6 for the square is 36. For the triangle, 9 x 6 is 54, and 54 divided by 2 is 27. 27 x 4 is equal to 108. Now, we just add 108 and 36 to make 144.
Since the spinner has 5 slots it contains 3 odd and 2 evens,
this can be expressed as
, cross multiply and we get
%
Answer:
56 7/10
Step-by-step explanation:
convert 40 1/2 to a fraction 40 1/2 = 81/2
multiply both sides by 7/5
this gets w by itself on the left
81/2 x 7/5 = 567/10 = 56 7/10
Answer: 4 years
Step-by-step explanation:
A(0) has to be amount at start. Assume that's 5mg
Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),
(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).
We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.