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!
A ray has only one endpoint and goes on forever in the other direction. A segment has two endpoints
Answer:
a) 179 people shopped at the grocery store or the drug store.
b) 21 people shopped at neither the grocery store nor the drug store
Step-by-step explanation:
I am going to treat these events as Venn sets.
I am going to say that:
Set A: Shopped at the grocery store
Set B: Shoped at the drug store.
121 shopped at the grocery store:
This means that
91 shopped at the drug store:
This means that
33 shopped at both businesses.
This means that
a) How many people shopped at the grocery store or the drug store?
This is
With the values given in the exercise.
179 people shopped at the grocery store or the drug store.
b) How many people shopped at neither the grocery store nor the drug store?
179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.
21 people shopped at neither the grocery store nor the drug store
Answer:
2
Step-by-step explanation:
4x^3 + 2 = 34
4x^3 = 32
x^3 = 8
x=2