Answer:
it is an interior alternate angle and x= 27
Step-by-step explanation:
Answer: 5, 3, 1, 2, 6, 4
<u>Step-by-step explanation:</u>
The proof should be written as follows (which is a different order than provided):
<u>Statement </u> <u>Reason </u>
1. ABCD is a parallelogram 1. Given
2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram
3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem
4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem
5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem
6. AE = CE and BE = DE 6. CPCTC
This is the order provided in your question:
5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem
3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem
1. ABCD is a parallelogram 1. Given
2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram
6. AE = CE and BE = DE 6. CPCTC
4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
8/3
Step-by-step explanation:
keep change flip
-3 1/3 (turn the divide into multiplication) and flip the fraction- 1/2 -2/1
-4/3 times -2/1
