Answer:
Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>
Step-by-step explanation:
1. Find circumference with the Formula <u>C=πd</u>
C=3.14 x 5.6
<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>
2. Radius is Always half of the Diameter.
5.6/2 = 2.8
<em><u>2.8 is your radius.</u></em>
3. If you want to check you work try the formula C=2πr to see if things checks out.
C=2 x 3.14 x 2.8
<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>
<u><em /></u>
<u><em>Hope this Helps!</em></u>
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of congruent angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠1 and ∠2 are supplementary
Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180°
(1) Definition of supplementary angles
m∠1 + m∠3 = 180°
3. (2) m∠1 + m∠2 = m∠1 + m∠3
Transitive Property
4. (3) m∠2 = m∠3
Subtraction property of equality
5. ∠2 ≅ ∠3
(4) Definition of congruent angles
Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°
Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°
∴ ∠1 + ∠2 = 180° = ∠1 + ∠3
∠1 + ∠2 = ∠1 + ∠3
∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1
∴ ∠2 = ∠3
∴ ∠2 ≅ ∠3, by definition of congruent angles.
Answer:
16 weeks
Step-by-step explanation:
Assuming that each month is around 4 weeks, multiply that number by 4 months and you will get 16 weeks in total.
You can go through the set and test each one out:
x=0:
2(0)+3 ≥ 7? Or 3≥7? No
x=0.6:
2(0.6)+3≥7? 4.2≥7? No.
x=2:
2(2)+3≥7? 7≥7? Yes.
x=4:
2(4)+3≥7? 11≥7? Yes.
x=6:
2(6)+3≥7? 15≥7? Yes.
The set is {2, 4, 6}.