Answer:
Step-by-step explanation:
Domain for the bottom graph
D: [-6,0)
R: (-6,5]
Answer: After matching each set of conditions with the corresponding relationship between ∆ABC and ∆XYZ and the criterion that proves the relationship the matched pairs are as follows:
1 . AB = XY ,BC = YZ and ∠B ≅ ∠Y ⇒ ΔABC ≅ ΔXYZ by SAS criterion.
2 . AB = XY and ∠A ≅ ∠X and ∠B ≅ ∠Y⇒ ΔABC ≅ ΔXYZ by ASA criterion.
3 . ∠A=∠X,∠B=∠Y and ∠C=∠Z⇒ ΔABC and ΔXYZ are not necessarily congruent.[by AAA similarity criteria both triangles are similar but may not congruent ∵ every congruent triangles have equal sides and equal angles]
4 . AB = XY, BC = YZ and CA = ZX ⇒ ΔABC ≅ ΔXYZ by the SSS criterion.
Answer:
$18.00
Step-by-step explanation:
Start by working out 10%, that's easy:
15 ÷ 10 = 1.5
That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:
1.50 x 2 = 3
A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00
I saw the figure of the pie. It is a circle with 8 slices. 4 slices are shaded, the other 4 are not.
So 4/8 or 1/2 of the pie is left.
Mr. Vargas eats 1/4 of the whole pie.
8 slices * 1/4 = 8/4 = 2 slices.
Out of the 4 slices remaining, Mr. Vargas ate 2 slices.
That left 2 slices from the original 8 slices.
2/8 = 1/4 of the pie remained.
