Answer:
m∠1 = 68°
m∠2 = 68°
m∠3 = 112°
m∠4 = 112°
m∠5 = 68°
m∠6 = 68°
m∠7 = 112°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two straight lines intersect, the opposite vertical angles are congruent.
<u>Corresponding Angles Postulate</u>
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
<u>Angles on a Straight Line</u>
Angles on a straight line sum to 180°.
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠3 = m∠4 = m∠7 = 112°
To find the measure of angle 2, apply the Angles on a Straight Line theorem:
⇒ m∠2 = 180° - 112° = 68°
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠2 = m∠1 = m∠5 = m∠6 = 68°
Answer:
45°
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so
- 2x - 12 + 2x + 17 + 9x - 7 = 180
- 13x - 2 = 180
- 13x = 182
- x = 14
So, the measure of angle X is 2(14)+17=45°
Okay say one is 1 dollar so they're giving you 3 of them for 2 dollars. If you get 3 for 2 dollars it would be like getting one for free. Full price would be dollars so you would take 2/3 which is .6... so you would take that from 10 which Gould be 33%
Answer:
400
Step-by-step explanation:
4/5 yo just times by a 100 to get your answer 400/500
Answer:
Purchases= $39,800
Step-by-step explanation:
Giving the following information:
Beginning Supplies= 1,400
Ending Supply balance= 4,500
COGS= 36,700
T<u>o calculate the purchases, we need to use the following formula:</u>
Purchases= COGS + desired ending inventory - beginning inventory
Purchases= 36,700 + 4,500 - 1,400
Purchases= $39,800