For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!
Answer:
JK = 11
Step-by-step explanation:
JK ≅ JM
where
JK = 3x - 16
JM = 2x - 7
3x - 16 = 2x - 7
group like terms
3x - 2x = 16 - 7
x = 9
<u>plugin x=9 into JK</u>
JK = 3x - 16
JK = 3(9) - 16
JK = 11
215. If you divide 100,000 by 467 you get 214.132. Since you can’t have .132 of a person you need to round up to 215
Since only the first term has ax for coefficients the GCF cant be -3ax^5.
The GCF would be -3a
Factor -3a out of all the terms:
-3a(2x^7)-3a(-4a^5)-3a(a^4)
Now factor -3a out of the equation for the final answer:
-3a(2x^7-4a^5+a^4)
