Biconditionals are statements that work both ways.
Some examples:
If it rains, I go out, and if I go out, it must be raining.
This can be stated concisely in mathematical terms as
I go out IF AND ONLY IF it rains.
So looking at the given statements, only the last two work both ways, namely:
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
Victoria will play outside if and only if the weather is nice.
Supplementary angles = 180
2x +3x-10 = 180
5x -10 =180
5x -10 +10 =180+10
5x =190
5x/5 =190/5
x = 38
2x=76
3x-10= 3(38)-10=104
The measure of angles are 76 and 104
Answer:
Jen's has the best deal
Step-by-step explanation:
Jens: $1.25 per flower
Mary: $15.48 /12 flower
$1.29/flower
1.25< 1.29 so Jen's has the best deal
Answer:
a₁₈ = 113
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 49 - 45 = 53 - 49 = 57 - 53 = 4
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 45 and d = 4, then
a₁₈ = 45 + (17 × 4) = 45 + 68 = 113
