Answer:
<u>y = w and ΔABC ~ ΔCDE</u>
Step-by-step explanation:
Given sin(y°) = cos(x°)
So, ∠y + ∠x = 90° ⇒(1)
And as shown at the graph:
ΔABC is aright triangle at B
So, ∠y + ∠z = 90° ⇒(2)
From (1) and (2)
<u>∴ ∠x = ∠z </u>
ΔCDE is aright triangle at D
So, ∠x + ∠w = 90° ⇒(3)
From (1) and (3)
<u>∴ ∠y = ∠w</u>
So, for the triangles ΔABC and ΔCDE
- ∠A = ∠C ⇒ proved by ∠y = ∠w
- ∠B = ∠D ⇒ Given ∠B and ∠D are right angles.
- ∠C = ∠E ⇒ proved by ∠x = ∠z
So, from the previous ΔABC ~ ΔCDE by AAA postulate.
So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>
Step-by-step explanation:
the 60 preliminary published articles are a constant.
all the new articles are simply added to that to get the total number of published articles.
every months produces 12 more articles.
so,
m = 1 means a = 60 + 1×12 = 72
m = 3 means a = 60 + 3×12 = 60 + 36 = 96
m = 4 means a = 60 + 4×12 = 60 + 48 = 108
m = 9 means a = 60 + 9×12 = 60 + 108 = 168
Answer:
(-4, -3), (4, -1), (8, 0), (12, 1)
Step-by-step explanation:
The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)
(x, y) = (-4, -3) . . . . from the first table entry
(x, y) = (4, -1) . . . . from the second table entry
(x, y) = (8, 0) . . . . from the third table entry
(x, y) = (12, 1) . . . . from the last table entry
So the equation is 2[x + 1] = 6, right? So you’d solve it as follows:
2[x + 1] = 6
Divide both sides by 2
[x + 1] = 3
Subtract one to get x by itself
[x] = 2
If x is 2, then the absolute value of x is the absolute value of 2. The absolute value of 2 is 2 and -2
X = 2 or -2
Answer:
Step-by-step explanation:
To find the inverse function switch variables out and solve for y
If
y=(x+3)/x swap variables to get
(y+3)/y=x then solve for y
y+3=yx
y-yx+3=0
y-yx=-3
y(1-x)=-3
y=-3/(1-x)
y=3/(x-1)
