We know that : Sum of Angles in a Triangle is equal to : 180°
⇒ In ΔRST, The Sum of Angles ∠R , ∠S , ∠T should be equal to 180°
⇒ m∠R + m∠S + m∠T = 180°
⇒ (2x + 10)° + (2x + 25)° + (x - 5)° = 180°
⇒ (2x + 2x + x) + (10° + 25° - 5°) = 180°
⇒ 5x + 30° = 180°
⇒ 5x = 180° - 30°
⇒ 5x = 150°
⇒ x = 30°
Answer:
x + 2y = -8
Step-by-step explanation:
In the standard form you want the x and the y on one side of the equation. So, lets add 1/2x to both sides. We then get 1/2x + y = -4. However, we want the x coefficient to be an integer. So, lets multiply the entire equation by 2, and we get x + 2y = -8, and that is our answer.
This could be rephrased as:
You start with 100 grams of a substance. One year later you have 70 grams. What is the half-life?
We need this formula:
half-life = (time * natural log (2)) / natural log (beginning amount / ending amt)
half-life = (1 year * .69315) / natural log (100 / 70)
half-life = (.69315) / 0.35667494396
half-life = 1.9433661145 years
Rounding to nearest year half-life = 2 years
Sourse: https://www.1728.org/halflif2.htm
(See problem 3)
Answer:
-20
Step-by-step explanation:
For k(x)=3/4x-11 substitute x with -12
=3/4(-12)-11
=-20
Answer:
∠ N = 31°
Step-by-step explanation:
The inscribed angle KLN is half the measure of its intercepted arc KL, so
∠ N = × 62° = 31°