Answer:
n = nickels, q = quarters
Equation 1: n+q=30
Equation 2: 0.05n+0.25q = 3.30
Step-by-step explanation:
From equation 1, n = 30-q
Substitute in Equation 2:
0.05(30-q) + 0.25q = 3.30
1.5 - 0.05q + 0.25q = 3.30
0.2q = 1.8
q = 9
Substitute in new equation:
n = 30-9
n = 21
It is important to note a nickel is worth 5 cents and a quarter is 25 cents. This helps us build the equations.
The coefficient in (4x-2) is the -2
Remaining area of poster = Area of Big rectangle - Area of small rectangle
= (36*24) - (5*12) =
= 864 - 60 = 804 in^2
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
