Answer:
110
Step-by-step explanation:
Hello There!
If you didn't know the rule about angles in a triangle is that they have a sum of 180
So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180
so the missing angle = 180 - 30 - 40
180 - 30 = 150
150 - 40 = 110
so the missing angle = 110
Let antonio's age = a and let sarah's age = s
2a + 3s = 34 (given in question)
s = 5a (given in question)
Because we know that s = 5a, we can replace it with 5a in the first equation to give this:
2a + 3(5a) = 34
∴ 2a + 15a = 34
∴ 17a = 34
∴ a = 2
Therefore we can see that Antonio is 2. Because we have been told that Sarah is 5 times Antonio's age, we can say that Sarah is 10.
Answer: your answer is answer
Step-by-step explanation; the physics of the calculations say you are not einstien.
Answer:
x = 12
Step-by-step explanation:
The midsegment VY is half the sum of the parallel bases , that is
VY = 
, then
3x + 18 = 
(x + 96) ← multiply both sides by 2 to clear the fraction
6x + 36 = x + 96 ( subtract x from both sides )
5x + 36 = 96 ( subtract 36 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years
A = P (1 + r/n)^nt
A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited
A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99
$349.99 - 273 = $76.99
The compounded interest amounts to $76.99
