Answer:
3
Step-by-step explanation:
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>
First find out how many more inches it needs to grow, 54-37.5; It needs to grow 16.5 more inches. If it grows 3 inches a year then you have to do 16.5/3; 5.5. It will take 5.5 or 5 1/2 more years to grow to 54 inches.
The equation of a line is given by y = mx + c; where m is the slope.
The given equation is 9 - x = 2y
y = -1/2 x + 9/2
Therefore, the slope is -1/2 and the y-intercept is 9/2.