a) ABD and CBD are Supplementary angles and need to equal 180 degrees
Subtract 117 from 180 for CBD:
CBD = 180 - 117 = 63 degrees
b) In triangles the the shortest side would be opposite the shortest angle.
Since angle D is 56 degrees ( the smallest inside angle) then side BC would be the shortest side.
c) The side opposite the largest angle would be the longest.
Angle B is 63 degrees ( the largest) so side CD is the longest.
Step-by-step explanation:
4^5 (-2)^9/4^8 (-2)^3
= 4^(5 - 8) (-2^(9 - 3))
= 4^-3 (-2^6)
= (-2)^6/4^3
1). (-2)^a/4^b
a = 6, b = 3
2). c/d
c = -2, d = 4
Multiply the cost of an item or service by the sales tax in order to find out the total cost.<span>Make sure you put the sales tax into decimal form. You do this by taking the percentage and sliding the decimal point two places to the left: ...<span>Example: $60 (item cost) x .075 (sales tax) = $4.5 total sales tax.</span></span>
Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector 
is a linear combination of 
and 
if there are two scalars 
such as
In our case, all the vectors are given in 
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of 
and 
, so the solution is
