Answer:
A. p = q
Step-by-step explanation:
For each triangle, add the angles together and then subtract the sum from 180°.
First triangle:
60° + 50° = 110°
180° - 110° = 70°
Missing angle = 70°
Second triangle:
80° + 30° = 110°
180° - 110° = 70°
Missing angle = 70°
Hope this helps :)
Answer:
Step-by-step explanation:
Write a function whose k(x) values are 5 more than four times the principal square root of x.
So,
the principal square root of x 
four times the principal square root of x 
5 more than four times the principal square root of x 
Thus,
<h2>
Answer: </h2>
59,425 sq mi
<h2>Step-by-step explanation: </h2>
When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.
This gives you 59,424 +1 = 59,425.
If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.
... 59,424.3 ⇒ 59,424 . . . . . for example
Answer:
A), B) and D) are true
Step-by-step explanation:
A) We can prove it as follows:
B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that 
. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then 
.
C) Consider 
. This set is orthogonal because 
, but S is not orthonormal because the norm of (0,2) is 2≠1.
D) Let A be an orthogonal matrix in 
. Then the columns of A form an orthonormal set. We have that 
. To see this, note than the component 
of the product 
is the dot product of the i-th row of 
and the jth row of 
. But the i-th row of is equal to the i-th column of . If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then 
E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.
In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set 
and suppose that there are coefficients a_i such that 
. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then 
then 
.
Answer:
y = 8.5
Step-by-step explanation:
