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>
Numbers are very important. If say we were paying for a slice of pizza, we wouldn't know how much money to give to the pizza place. If you didnt know, you would be paying the workers 100 dollars for a slice of pizza
(32a....exponent10....b5over2)4a4b
No solutions- equations never intersect (parallel lines)
Explanation:
First, let's convert our second equation into slope-intercept form
y
=
m
x
+
b
Let's subtract
2
x
from both sides to get
−
y
=
−
2
x
+
2
Next, divide all terms by
−
1
to get
y
=
2
x
−
2
We see that our slope, the coefficient on the
x
term, is
2
. This equation has the same slope as the first.
It is important to realize that when two lines have the same slope, it means they are parallel. This means they never intersect.
Since they never intersect, it means this system has no solution.
Hope this helps!
First we have to find 25% of 32.
25% of 32 its 0.25*32=8
Now we have to subtract 32 and 8
32-8=24
Now we have to find 50% of 24
50% of 24=12
24-12=12- its the answer
