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>
Equation of a horizontal line passing through point (-3, 8) is y = 8.
Um i would say.................
Answer:
The answer is (-4,9)
Step-by-step explanation:
When you reflect across y=-x the x and y coordinates switch places and change signs.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
Distance traveled by a car between two cities = 1/6 distance
Time taken to travel between the two cities = 3/5 hours
Therefore, to find how much of the distance the car can travel in 1 hour, we need to divide the given distance by the given time to get:
(
) ÷ (
)
Change the later fraction to its reciprocal to solve:
× 
=
Therefore, in one hour, the car can travel 5/18 of the distance.
