<u>Answer:</u>
The correct answer options are A, B, C and D.
<u>Step-by-step explanation:</u>
A. Leg-angle (LA):
According to this theorem, if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
B. Hypotenuse-leg (HL):
If any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
C. Hypotenuse-angle (HA):
If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
D. Leg-leg (LL):
If any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Answer:
sales after 5 years is $183666
Step-by-step explanation:
exponential function standard form:
a=P(1+r)^t
where p=principal(starting amount)(125,000)
r=rate of change(0.08)
t=time(5)
so
a=125,000(1+0.08)^5
a=125,000(1.08)^5
a=125,000(1.46)
a=183666
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
8 pizzas because 12/3 is 4 (the amount of hours) and 4+4 is 8
54sqrt(30) or around 295.77018
