Answer:
Δ MNO ≅ ΔXYZ by AAS postulate.
Step-by-step explanation:
Given:
, 
, and YO = NZ.
Consider YO = NZ
Add OZ on both sides
YO + OZ = NZ + OZ
YZ = NO
Consider triangles Δ MNO and ΔXYZ.
Statement Reason
1. Given
2. Given
3. YZ = NO ∵ YO = NZ
Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.
1.17 + 2.65p = 9
2.65p = 9 - 1.17
2.65p = 7.83
p = 7.83/2.65
p = 2.95.......maximum number of pens Linda can buy is 2
Answer:
The highest rate of birds is during the years 4 to 3
(remember that the lowest digit of number of negative is the highest and the highest is the lowest)
Step-by-step explanation:
Rate of Changes:
1 to 2: 5080.86 - 5238/ 2 - 1
= -157.14/1
= (convert to decimal) -157.1
2 to 3: 4928.43 - 5080.86/ 3 - 2
= -152.43/ 1
= -152.43
3 to 4: 4780.58 - 4928.43/ 4 - 3
= -147.85/ 1
= -147.85
Simplifying
10 = 2r + -8
Reorder the terms:
10 = -8 + 2r
Solving
10 = -8 + 2r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-2r' to each side of the equation.
10 + -2r = -8 + 2r + -2r
Combine like terms: 2r + -2r = 0
10 + -2r = -8 + 0
10 + -2r = -8
Add '-10' to each side of the equation.
10 + -10 + -2r = -8 + -10
Combine like terms: 10 + -10 = 0
0 + -2r = -8 + -10
-2r = -8 + -10
Combine like terms: -8 + -10 = -18
-2r = -18
Divide each side by '-2'.
r = 9
Simplifying
r = 9
Answer:
1152$
Step-by-step explanation:
b1 = 7/8 C
b2 = 5/6 b1 = 35/ 48 C
7/8 C + 35/48 C = C + 696
42/48 C + 35/48 C = 48/48 C + 696 * 48/48
(42 + 35 - 48 ) C = 696 * 48
29 C = 33408
C =1152.
