The triangle will be rotated with the rule of (x,y) → (-y,x). The image will be congruent to the pre-image, the side lengths will be the same and the angles too.
Answer:
−7x−5y=4 - 7 x - 5 y = 4. Rewrite in slope-intercept form. Tap for more steps... The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is ...
Step-by-step explanation:
Answer:9
Step-by-step explanation:9
Answer:
29
Step-by-step explanation:
Since all triangles have to add up to 180, we can do the sum of the two angles we know minus 180. 90+61=151, 180-151=29
So your answer would be 29
Given that the recursive formula for a sequence is ![a_n=a_{n-1}+2n](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2B2n)
The first term of the sequence is ![a_1=4](https://tex.z-dn.net/?f=a_1%3D4)
We need to determine the first four terms of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the recursive formula.
Thus, we have;
![a_2=a_{2-1}+2(2)](https://tex.z-dn.net/?f=a_2%3Da_%7B2-1%7D%2B2%282%29)
![a_2=a_{1}+2(2)](https://tex.z-dn.net/?f=a_2%3Da_%7B1%7D%2B2%282%29)
![a_2=4+4](https://tex.z-dn.net/?f=a_2%3D4%2B4)
![a_2=8](https://tex.z-dn.net/?f=a_2%3D8)
Thus, the second term of the sequence is 8.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the recursive formula.
Thus, we have;
![a_3=a_{3-1}+2(3)](https://tex.z-dn.net/?f=a_3%3Da_%7B3-1%7D%2B2%283%29)
![a_3=a_{2}+2(3)](https://tex.z-dn.net/?f=a_3%3Da_%7B2%7D%2B2%283%29)
![a_3=8+6](https://tex.z-dn.net/?f=a_3%3D8%2B6)
![a_3=14](https://tex.z-dn.net/?f=a_3%3D14)
Thus, the third term of the sequence is 14.
<u>Fourth term:</u>
The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.
Thus, we have;
![a_4=a_{4-1}+2(4)](https://tex.z-dn.net/?f=a_4%3Da_%7B4-1%7D%2B2%284%29)
![a_4=a_{3}+2(4)](https://tex.z-dn.net/?f=a_4%3Da_%7B3%7D%2B2%284%29)
![a_4=14+8](https://tex.z-dn.net/?f=a_4%3D14%2B8)
![a_4=22](https://tex.z-dn.net/?f=a_4%3D22)
Thus, the fourth term of the sequence is 22.
Hence, the first four terms of the sequence is 4, 8, 14, 22.