Answer:
1. Domain: -2, 0, 4; Range: -7, -1, 0, 3
2. Domain: -4, -1, 2, 3 Range: -5, 1, 8
Step-by-step explanation:
Domain and range are the just the x and y value in function table or ordered pair.
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>
6 boxes of spaghettis for 20 persons so that means 12 boxes for 40 persons since there are 50 persons we have 10 persons left since 10 is equals to 20 divided by 2, divide 6 by 2 which is equals to 3 then add 12
Answer: 15
1.772453850905516027298167...
Answer:
22
Step-by-step explanation:
Missy has 156 cards in total. Since we know she has 4 times as many as them, we divide 156 by 4
156/4= 39
Ashe has 17 cards and we still don't know how many Caleb has. Since we know that they have 39 cards together, we need to subtract Ashe's cards to find how many Caleb has
39-17=22
Let's check our work
Caleb has 22 cards
Ashe has 17 cards
Together they have 39
Which is 4 times less than how many cards Missy has
Missy has 156 cards
We are correct!
