Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39
Answer:
C.$0.15 I TOOK IT ON STUDY ISLAND
Step-by-step explanation:
First, you want to find an exact point on the graph. What I mean by this is you want to go somewhere on the graph where the line goes through an exact y and x value.
Second, you want to figure out where this x and y value are. Where the graph first goes through two points is at (20, 3).
Third, you want to figure out what the 20 and the 3 mean. 20 is the number of messages and 3 is the dollar amount.
Finally, to calculate the amount of money per message, you divide the dollar amount (3) by the number of messages (20). So, you have 3/20. After this, simplify 3/20 to get 0.15, or 15 cents per message.
If this is DMS then the answer is 38.68861111 degrees
Answer:

Step-by-step explanation:
Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.
The two point form is given as

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.




adding x and 6 on both sides we get

Hence this is our equation of the line passing through (5,6) & (4,7)
Answer:
<h3>
∠ABC≅∠DEF
</h3><h3>
∠BCA≅∠EFD
</h3><h3>
∠CAB≅∠FDE
</h3><h3>
AB≅DE, BC≅EF, CA≅FD</h3>
Step-by-step explanation:
To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A
The same goes for points B and C
Angles at pair of given and rotated point are congruent.
Sides of triangle are congruent if they lay between two congruent angles.