Answer:
C: They add up to 180 degrees, because they are a pair of supplementary angles
Step-by-step explanation:
<1 and <2 add up to 180 degrees, so they are supplementary angles.
Complementary angles add up to 90 degrees.
Answer:
The actual building will be 7.5 m tall
Step-by-step explanation:
Given the scale model value of the building, we want to find the actual height of the building
From the scale model;
1 cm = 0.5m
Thus 15 cm will be 15 * 0.5 = 7.5 m
The carpenter can cut six full sized pieces of board.
Answer:
Step-by-step explanation:
Let 
. We have that 
if and only if we can find scalars 
such that 
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for 
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are 
, but note that for this values, the third equation doesn't hold (3+2 = 5 
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are 
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
C is your answer. 5x + 2 = 17
First let’s get them all in terms of x:
Box kites = 3x
Dragon kites = x + 2
Butterfly kites = x
Adding all those up:
x + 3x + x + 2 = 17
Combine like terms:
5x + 2 = 17
