Answer:
-72
Step-by-step explanation:
Answer:
D. y=30x
Step-by-step explanation:
So x represents like say if he mowed 3 yards.
y=30(3)
Then y would equal 90
Given :
A hostel of 500 boys has provisions for 4 days.
To Find :
If the provisions were continued for 20 days, how many students have gone out of the hostel.
Solution :
Let, number of students left after 20 days are x.
Now, provisions are given by :
Also, provisions remains same.
So, initial provision = final provision
Therefore, 100 students have gone out of the hostel.
Hence, this is the required solution.
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>
