4.5(4-x) + 36 = 202 - 2.5(3x + 28)
Distributive property
18 - 4.5x + 36 = 202 - 7.5x - 70
Combine like terms
-4.5x + 54 = -7.5x + 132
Add 7.5x to both sides
3x = 78
Divide both sides by 3
x = 26
Answer:
Step-by-step explanation:
# Statement Reasoning
1). KJ║ML Given
2). ∠KLM ≅ ∠LKJ Alternate interior angles
3). KL ≅ LK Reflexive property
4). ΔKJL ≅ ΔLMK SAS congruence postulate
N - 5 ≥ -2
5 - 5 ≥ -2
5 - 5 = 0
n = 5
5 - 5 ≥ -2
5 - 5 = 0
(0 ≥ -2)
Answer:
(A)24 square units
(C)72 square units
(D)96 square units
Step-by-step explanation:
<u>Triangular face</u>
Height of the Triangle=6 Units
Base of the Triangle=8 Units
Area of the Triangular Face

<u>Rectangular Faces</u>
Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units
Area of Rectangular face with dimension 12 by 8= 12 X 8=96 Square Units
Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units
From the options, the areas are:
- 24 square units
- 72 square units
- 96 square units
Answer:
2 irrational solutions.
Step-by-step explanation:
6p^2 = 8p + 3
0 = -6p^2 + 8p + 3
The roots are:
p = (2/3) - (8.5)^(1/2)/3, and
p = (2/3) + (8.5)^(1/2)/3
These are irrational numbers.
There are 2 irrational solutions.