The correct response is:
3 inches rise for every foot in length
Explanation:
To derive the rate of change, we need to compute the difference in height and the difference in distance. The rate of change is expressed as rise/run, or
(change in height)/(change in length).
The respective heights at the specified points are 18 inches and 12 inches, resulting in a change of 18-12 = 6 inches.
The corresponding lengths at those points are 6 feet and 4 feet, yielding a change of 6-4 = 2 feet.
This implies our rate of change is (6 inches)/(2 feet), which simplifies to (3 inches)/(1 foot), indicating a rise of 3 inches for each foot of incline on the driveway.
Answer:
The resultant velocity will be 12 m/s
Step-by-step explanation:
If the river flows at 2m/s downstream while the boat travels downstream at 10m/s, simply add the two speeds to find the resultant velocity:
Resultant Velocity = 10 m/s + 2 m/s = 12 m/s.
A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. provided
2. ∠CAD and ∠ACB are alternate interior angles 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. congruence of alternate interior angles
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Congruent triangles have congruent corresponding parts (CPCTC)
7. ABCD is a parallelogram 7. theorem for sides of parallelograms
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