Answer:
Write a time equation, time = dist/speed
:
go time + return time = total time
d%2F16 + d%2F15 = 7.75 hrs
multiply equation by the least common multiple 240, cncel the denominators:
15d + 16d = 240(7.75)
31d = 1860
d = 1860/31
d = 60 km one way
total dist = 120 km
:
Check this, find the actual time each way
60/16 = 3.75 hrs
60/15 = 4 hrs
-----------------
total time 7.75 hrs
Step-by-step explanation:
Answer:
261 ft²
Explanation:
This entire shape can be divided into one square and four triangles.
Area of square:
Side² = 9² = 81 ft²
Area of four triangles:
4 × 1/2 × base × height
2 × 9 × 10
180 ft²
Total Area:
180 + 81 = 261 ft²
Answer:
ΔDCE by ASA
Step-by-step explanation:
The marks on the diagram show AE ≅ DE. We know vertical angles AEB and DEC are congruent, and we know alternate interior angles BAE and CDE are congruent. The congruent angles we have identified are on either end of the congruent segment, so the ASA theorem applies.
Matching corresponding vertices, we can declare ΔABE ≅ ΔDCE.
Are there answer choices or is this an essay?
Perimeter is 2l+2w in the case of a rectangle, so you would write:
2(4x - 4.25) + 2(7x +7)
