The answer for this is 42. just subtract 152 from 68 and then divide that by 2.
Answer: z = 28 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
Since JN = NK, this means that JK has been split into two equal pieces
This points to the fact that the smaller triangle is half of the larger triangle in terms of side lengths
MN = 14 which means LK is twice as long, so LK = 2*MN = 2*14 = 28
In summary,
LK = 28
Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be 
.
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be 
.
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be 
.
We are also told that Dani received 216 pennies. Now, we will equate 216 to 
and solve for x as shown below:
Therefore, Al have 2744 pennies initially.
