Answer:
Step-by-step explanation:
Exterior angle property: Exterior angles equals the sum of remote angles
19x - 18 = 7x + 1 + 10x - 9
19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u> {Combine like terms}
19x - 18 = 17x - 8 {Subtract 17x from both sides}
19x - 17x - 18 = -8
2x - 18 = -8 {Add 18 to both sides}
2x = -8 + 18
2x = 10
x = 10/2
x = 5
The answer is [ yes; ΔABC ~ ΔFGH by SAS Similarity ]
SAS Similarity states that two triangles have congruent corresponding angles and the corresponding sides have an identical ratio
The angle measure aren't given but the angles look to be the same.
To find the scale factor, divide.
12 / 8 = 1.5
15 / 10 = 1.5
The corresponding sides have an identical ratio.
This proves that option B is correct.
Best of Luck!
"lowest terms". Whenever 2 numbers have a GCF of 1, that means there isn't anything that can divide out of both numbers, which is called "lowest terms." It means that the fraction cannot be reduced any more.
Communitive Property is the correct one
