So first, we need to find the measure of x. Let's do that first.
1. You need to find the expression for angle DBC. We can't just have 36 degrees. We need the actual expression.
So, subtract 6x + 5 from 10x - 7. This will give us the expression we need.
→ (10x - 7) - (6x + 5) = 4x - 12
2. Have 36 and 4x - 12 equal each other. This will help us find the value of x.
→ 36 = 4x - 12 ⇒ x = 12 <Hopefully you know how I got that. If not, I solved it by adding 12 on both sides to isolate the variable to get 48 = 4x. Then, I divided both sides by 4 to get 12.>
3. Now we know the value of x. Using the expression 6x + 5, substitute 12 for x.
→ 6 (12) + 5 ⇒ 72 + 5 = 77
Therefore, the measure of angle ABD is 77 degrees.
Im guessing those are those brackets?
Answer:
The value of Liam's investment at the end of 4 years is £9069.764
Step-by-step explanation:
Compound interest is interest calculated on the initial principal, which also includes all of the accumulated interest of previous periods of an investment.
We multiply the principal amount by one plus the annual interest rate to the power of the number of compound periods to get a combined figure for principal and compound interest.
4.5% in the first year;
4.5/100 = 0.045
(1 + 0.045) × 8000 =
1.045 × 8000 = £8360.
2.75% for all subsequent year;
2.75/100 = 0.0275
1 + 0.0275=1.0275
Number of years is;
4-1=3years
Therefore,
8360 × (1.0275)^3 =
8360 × 1.0849 = £9069.764
Answer:
8 + 2 sqrt(26)
Step-by-step explanation:
The top and bottom have a distance of
-2 to 2 = 4 units
The sides need the length found by the pythagorean theorem
d = sqrt( a^2 + b^2) where a is the height and b is the width
a = (2-1) =1 and b = 4- -1 = 4+1 = 5
d = sqrt(1^2 + 5^2) = sqrt( 1+25) = sqrt(26)
We want the perimeter
P = 4+ sqrt(26) + 4 + sqrt(26)
Combine like terms
= 8 + 2 sqrt(26)