<u>4.</u> Since angles 1 and 2 are supplementary, this means they add up to 180 degrees. Make them add up to 180 in an equation and solve for a. Substitute a back into m∠2 to find your answer.
(11a + 19) + (6a - 9) = 180
Combine like terms.
17a + 10 = 180
Subtract 10 from both sides.
17a = 170
Divide both sides by 17 to isolate and solve for the variable a.
a = 10
Substitute 10 for a into m∠2.
6(10) - 9 ==> 60 - 9 = 51
The measure of angle 2 is 51 degrees.
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<u>5.</u> Since Ray BD bisects ∠ABC that means that both the formed angles are equal to each other, so make them equal to each other in an equation.
5y - 3 = 2y + 12
Add 3 to both sides.
5y = 2y + 15
Subtract 2y from both sides.
3y = 15
Divide both sides by 3 to isolate and solve for the variable y.
y = 5
Answer:
$541.22
Step-by-step explanation:
We are given;
Amount deposited (principal) is $500
Rate of interest is 4%
Time = 2 years
We are required to determine amount in the account after 2 years
Interest periods, n = 4 (since the money was compounded semi-annually)
rate of interest, r = 2%
Using the compound interest formula;
Amount, A = P (1 + r/100)^n
Therefore;
Amount = $500 (1 + 2/100)^4
= $500 × 1.02^4
= $541.22
Therefore, the balance in the account after 2 years is $541.22
The formula of the volume of the rectangular prism:
V = length × width × height
We have:
Answer:
7.2 or 
Step-by-step explanation:
its the right answer
Answer:
The number is 3.5.
Step-by-step explanation:
1) Form an equation.
8x-5= 23
2) Add 5 to both sides.
8x= 28
3) Divide both sides by 8.
X= 3.5
