Answer:
"2 + 2(-3)(7) = negative
-2(27 ÷ 9)+4= negative
(14 ÷ -2)(-6)= positive
(4 - 10) - ( 8 ÷ ( -2))= negative
Step-by-step explanation:
2 + 2(-3)(7) = -40
-2(27 ÷ 9)+4= -2
(14 ÷ -2)(-6)= 42
(4 - 10) - ( 8 ÷ ( -2))= -2"
Answer:

Step-by-step explanation:
Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

cross multiply: 5x = 3
divide: 5x/5 = 3/5 or x = 3/5
3/5 = 0.6 parts water
Consider the converses:
a) If two planes have no points in common, then they are parallel. (true)
b) If a point lies on the y-axis, then it has x-coordinate 0. (true)
c) If two angles have the same measure, then they are congruent. (true)
d) If a figure has four sides, then it is a square. (FALSE) (A figure with 4 sides may not even be a plane figure.)
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence