Answer:
Step-by-step explanation:
A+B+C = 180°
A ≤ B ≤ C
B = A+9
C = 3A+26
A+B+C = A + (A+9) + (3A+26) = 5A + 35° = 180°
5A = 145°
A = 29°
B = A+9 = 38°
C = 3A+26 = 113°
Answer:
see explanation
Step-by-step explanation:
Using the laws of logarithms
• log x - log y = log(
)
• 
x = n ⇔ x = 
Hence
( 
) = 2, hence
= x² ( multiply both sides by 4 )
8x - 3 = 4x² ← rearrange into standard form
Subtract 8x - 3 from both sides
4x² - 8x + 3 = 0 ← in standard form
(2x - 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
Hi There!
<span>829 to the nearest hundred?
</span><span>Nearest 100th = 800</span><span>
</span>
Answer
Step-by-step explanation:
B=Bob, b=2-(1/2xL)
L= leroy
P<1000
Answer:
Common difference = 2
First term = 3.
Step-by-step explanation:
3rd term = a1 + (3 - 1)d = 7 where a1 = first term and d = the common difference.
Sum of the first 12 terms = (12/2)[2a1 + (12-1)d] = 168
so 6(2a1 + 11d) = 168
So simplifying, we have the following system:
a1 + 2d = 7 ..................(A)
12a1 + 66d = 168
2a1 + 11d = 28.................(B) Multiplying equation A by - 2:
-2a1 - 4d =- -14 Adding this to equation B
7d = 14
d = 2
Now plug this into equation A:
a1 + 2(2) = 7
a1 = 7-4
a1 = 3.
