Answer:
Yes
Step-by-step explanation:
ΔMNL ≅ ΔQNL by ASA or AAS
by ASA
Proof:
∠ LNM = ∠LNQ =90
LN = LN {Common}
∠MLN = ∠QLN {LN bisects ∠ L}
By AAS
∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}
∠Q + 32 + 90 = 180
∠Q + 122 = 180
∠Q = 180 -122 =
∠Q = 58
∠Q = ∠M
∠MNL =∠QNL = 90
LN = LN {common side}
Product: Multiplication. therefore, 7n
Answer:
The range of possible values for the third side called c is;
11 > c or c < 11
Step-by-step explanation:
Here in this question, we are concerned with giving the range of the third side of the triangle.
What we will be using to get this range is the triangle inequality theorem.
Mathematically, the sum of the length of the two sides must be greater than the length of the third side.
So let’s call the third side c
Thus, the range of values we are to work with is;
5 + 6 > c
11 > c
Answer:
Option (d) is correct.
Step-by-step explanation:
The initial amount Tommy has = $ 199
The actual amount that Tommy needs to purchase bike = 199 + 35 = $ 234
This is the price of the bike.
This condition can be true from option (d).
From option (d)
119 < b + 35
Put b = 234 we get
119 < 234 + 35
119 < 269
Thus the condition satisfied. so option (d) is correct.
