Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
First we will find out the values of a
a/4=b/7
a=4b/7
Now
(a-b)/b
{4b/7-b}/b
(4b-7b)/7b
-3b/7b
-3/7
Answer:
y = 18
Step-by-step explanation:
Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor
x = 10, y = 12
x= 15, y = 1.5×12 = 18
The new value of y is y = 18.
_____
Written as a proportion, you have ...
y/15 = 12/10
y = 15×12/10 = 18
__
Written as a direct variation equation, you have ...
y = kx
12 = k·10 ⇒ k = 1.2
y = 1.2·15 = 18 . . . . for x=15
P(t) = [ 64/ (1 + 11.e⁽⁻⁰ ⁰⁸t⁾]
In 1991, t = 1, hence:
P(t) = [ 64/ (1 + 11.e⁽⁻⁰ ⁰⁸ˣ¹⁾] = 5.7377 billion or rounded 5.74 billion
(Answer A)
C>12
Y=-3 -3+13= 10
7x-14 Multiply
112