Greetings!Solve for <em>x</em>.
Distribute the Parenthesis. <em>How?</em> Multiply all of the terms inside the parenthesis by the number outside the parenthesis.
![(-2)*x+(-2)*3y=18](https://tex.z-dn.net/?f=%28-2%29%2Ax%2B%28-2%29%2A3y%3D18)
![-2x-6y=18](https://tex.z-dn.net/?f=-2x-6y%3D18)
Add
6y to both sides.
![(-2x-6y)+6y=(18)+6y](https://tex.z-dn.net/?f=%28-2x-6y%29%2B6y%3D%2818%29%2B6y)
![-2x=18+6y](https://tex.z-dn.net/?f=-2x%3D18%2B6y)
Divide both sides by
-2.
The Answer Is:
![x=-9-3y](https://tex.z-dn.net/?f=x%3D-9-3y)
![x=-3y-9](https://tex.z-dn.net/?f=x%3D-3y-9)
Hope this helps.
-Benjamin
Sum of angles in a triangle is 180°
90 + (x + 15) + (2x) = 180
90 + x + 15 + 2x = 180
105 + 3x = 180
3x = 180 - 105
3x = 75
x = 75 ÷ 3
x = 25
Smaller angle = x + 15 = 25 + 15 = 40°
Larger angle = 2x = 2(25) = 50°
Answer: 50°
Answer:
ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.
Step-by-step explanation:
SSS Similarity Theorem:
Two triangles are said to be similar if their CORRESPONDING SIDES are proportional.
In ΔABC and ΔXYZ, if
, then △ABC∼△YZX
Here, in ΔABC and ΔXYZ
AB = 9, BC = x , AC = 12
Similarly, XY = 3, YZ = 2, ZX = 4
Here,
![\frac{AB}{XY} = \frac{9}{3} = 3\\\frac{BC}{YZ} = \frac{x}{2} \\\frac{Ac}{Xz} = \frac{12}{4} = 3](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BXY%7D%20%3D%20%5Cfrac%7B9%7D%7B3%7D%20%20%3D%203%5C%5C%5Cfrac%7BBC%7D%7BYZ%7D%20%3D%20%5Cfrac%7Bx%7D%7B2%7D%20%5C%5C%5Cfrac%7BAc%7D%7BXz%7D%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20%20%3D%203)
⇒ Corresponding sides are in the ratio of 3, if BC =6 units
Hence, if BC = 6 units, then the ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.
Answer:
1. 3217
x 56
_____________
19302
160850
__________
108152
2. 5690
x 27
_________
39830
113800
_________
153630
3. 213
43
___________
639
8520
________
9159
Step-by-step explanation: