It can sometimes be rational
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
<u>1st blank</u>
∠EIJ ≅ ∠GJI (eq. 1)
∠EIJ ≅ ∠IKL (eq. 2)
∠GJI ≅ ∠JLK (eq. 3)
Substituting eq. 3 into eq. 1:
∠EIJ ≅ ∠JLK
and then, substituting eq. 2:
∠IKL ≅ ∠JLK
which means that m∠IKL = m∠JLK
<u>2nd blank</u>
The Linear Pair Theorem states that two angles that form a linear pair are supplementary
<u>3rd blank</u>
m∠JLK + m∠JLD = 180°
Substituting with the previous result:
m∠IKL + m∠JLD = 180°
Answer:
20 pizzas
Step-by-step explanation:
100% of the pizzas were made with extra cheese.
20 pizzas had extra cheese
100% of 20 = 20
So... 20 pizzas
Answer:
- increase
- decrease
- increase
Step-by-step explanation:
- A sales tax is ALWAYS an increase. That's why governments use sales taxes.
- A discount is ALWAYS a decrease. That's it's definition. You are being given a break.
- A tip is meant to supplement the pay someone gets. It's an increase from your point of view.
As given, let Jim's rate = x
Let Pete's rate =y
Jim completed half the floor in 12 hours so it's 
= 12x
Pete completed the other half of the floor in 10 hours so its 
=10y
As floor area is equal so,
.............(1)
Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=
...... (2)
Putting the value of y from equation (2) in equation (1) , we get
So, the equation is :
If you want to solve it, it becomes:
Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.
