Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Answer:
y = -2
Step-by-step explanation:
<u>SOLUTION :-</u>
Solve the equation.
- Add 8 to both sides in order to isolate the equation.
![=> y - 8 + 8 = -10 + 8](https://tex.z-dn.net/?f=%3D%3E%20y%20-%208%20%2B%208%20%3D%20-10%20%2B%208)
![=> y = -2](https://tex.z-dn.net/?f=%3D%3E%20y%20%3D%20-2)
∴ y = -2
<u>VERIFICATION :-</u>
To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.
L.H.S :-
-2 - 8 = <u>-10</u>
R.H.S. :-
<u>-10</u> (already given)
⇒L.H.S. = R.H.S. (verified)
No image shown but just remember that percentage is out of 100
0.03 is 3%
Answer: ![P=0.975^t](https://tex.z-dn.net/?f=P%3D0.975%5Et)
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. ![P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BA%281-0.02%29%5Et%7D%7BA%7D%3D%5Cfrac%7B%280.975%29%5Et%7D%7B1%7D)
Hence, the ratio of remaining since the nuclear accident is ![P=0.975^t](https://tex.z-dn.net/?f=P%3D0.975%5Et)
Answer:
70
Step-by-step explanation:
A=a+b
2h=8+12
2·7=70