The answer to your question is one
Answer:
8/21
Step-by-step explanation:
The total job is 1
Mike has done 1/3 and Dena has done 2/7 of the job We still need to do x of the job to complete it
1/3 + 2/7+ x = 1
We need to get a common denominator 3*7 = 21
Multiply each side by 21
21(1/3 + 2/7+ x) = 1*21
21(1/3) + 21*(2/7)+ 21x = 21
7+ 3*2 +21x =21
7+6+21x = 21
13+21x = 21
Subtract 13 from each side
13-13+21x=21-13
21x = 8
Divide each side by 21
21x/21 = 8/21
x = 8/21
We need to complete 8/21 of the job
Answer:
27 books
Step-by-step explanation:
14+13=27
<h3>
Answer: (2,0)</h3>
Explanation:
The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).
When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).
If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.
<h3>
You have the correct answer. It is choice B. Nice work.</h3>
K is the midpoint, so 
and 
, and along with the congruent vertical angles (
and 
), you would use the SAS (side angle side) congruence theorem to prove the inner pairs of triangles to be congruent.
So, 
(top and bottom triangles) and 
(left and right triangles).
Then through CPCTC, we can show the corresponding pieces are congruent leading to 
and 
showing the opposite sides of the quadrilateral are congruent. Therefore we do have a parallelogram and enough information to prove it as such.
Side note: CPCTC stands for "corresponding parts of congruent triangles are congruent".
