Answer:
<h3>m∠1 = 49°</h3><h3>m∠2 = 63°</h3><h3>m∠3 = 87°</h3><h3>m∠4 = 44°</h3>
Step-by-step explanation:
m∠1 = 49° (Opposite Angles)
m∠1 + m∠2 + 68° = 180° (The sum of all interior angles of any triangle is equal to 180°)
49° + m∠2 + 68° = 180°
m∠2 + 117° = 180°
m∠2 = 180° - 117°
<u>m∠2 = 63°</u>
m∠3 + 93° = 180° (The angles on a straight line add up to 180°)
m∠3 = 180° - 93°
<u>m∠3 = 87°</u>
m∠4 + 49° = 93° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
m∠4 = 93° - 49°
<u>m∠4 = 44°</u>
Answer: C) 1560
Step-by-step explanation:
So the first part is splitting the rectangle from the triangle so the area for the rectangle is 1440 (40 x 36) and the area for the triangle is 120 ((6x40)/ 2)
when you add them up the equal 1560 (1440 + 120)
A quota is when one country limits the amount of a good that can be imported from another country.
This is done in order to give prominence to domestic suppliers and producers. If you limit the amount of foreign goods, then its price will rise, which will make consumers buy more domestic goods and thus help develop domestic trade.
Ashton has saved: 60% of $120=(60/100)*$120=(60*$120)/100=$72
Ashton need to buy the bike=$120-$72=$48
He needs to buy the bike=$48
Answer:
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Step-by-step explanation:
Given that in a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams
H0: The two means are equal
Ha: The two means are not equal
(Two tailed test at 5% level)
Variable A Variable B
Mean 1080.00 1120.00
SD 75.00 100.00
SEM 13.26 16.01
N 32 39
95% CI: -82.65 to 2.65
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
