If the buy them for $5 and sell them for $11 they are making a $6 profit
Answer:
<u>Statement | Reason</u>
1. AB = CB | Definition of isosceles triangle
2. AD = CD | Definition of median
3. BD = BD | Reflexive property
4. ΔADB ≅ ΔCDB | SSS (Side-side-side)
9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
Answer:
The answer to your question is Angelica 19, her mom = 11
Step-by-step explanation:
Data
Angelica has 8 more than her mother
total number of shoes = 30 pairs
The Number of pairs Angelica has = a = ?
The Number of pairs her mother has = m = ?
Process
1.- Write two equation that help to solve this problem
a = m + 8 Equation l
a + m = 30 Equation ll
2.- Solve the system of equations by substitution
Substitute equation l in equation ll
(m + 8) + m = 30
-Solve for m
m + 8 + m = 30
2m = 30 - 8
2m = 22
m = 22/2
m = 11
3.- Find a
a = 11 + 8
a = 19
4.- Conclusion
Angelica has 19 pairs of shoes and her mom has 11
