Answer: triangle 1, triangle 2, and triangle 3
Step-by-step explanation:
Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.
Answer:
4 units
Step-by-step explanation:
Perimeter formula is P = 2L + 2W. Here P = 34 units = 2L + 2(6.5 units).
Reducing this, 17 = L + 13. Then L = 4 units.
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where is the base length and is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where and are bases of the trapezoid, is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases () multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
Answer:
He saved 58 last month.
Step-by-step explanation:
All expenses: 625 + 259 = 884
Total earned: 942 - 884 = 58