A. Expanding the given expression, you have
balance = 75r^2 +150r +75
B. For r=0.10, the balance after 2 years is 75*1.1^2 = 90.75
C. The difference between $120 and 90.75 is $29.25. You need $29.25 more to buy the bicycle.
Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
Answer:
See attached picture.
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
(7x)° + 61° = 180° (interior angle Postulate)
(7x)° = 180° - 61°
(7x)° =119°
7x = 119

Answer:
add up the exponents on each prime number
Step-by-step explanation:
2^2= 2x2
3^2=3x3
so 36=2^2x3^2=2x2x3x3