Answer:
z = 15
Step-by-step explanation:
The sum S of the interior angles of a regular polygon is given by the formula
S = (n-2) x 180 where n is the number sides
Here n = 9
So S = (9-2) x 180 = 7 x 180 = 1,260
There are 9 interior angles and each angle is (5z + 65)
So the sum of all 9 interior angles = 9 (5z + 65)
= 45z + 585
Set these equal to each other and solve for z
45z + 585 = 1260
45z = 675
z = 675/45 = 15
Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m
Answer:
If point C represents -1, then each space is 1 unit.
So, A = -10
B = -4
D=2
E=9
Let me know if this helps!
Answer: The required probability is 0.008.
Step-by-step explanation:
Since we have given that
Probability of bachelor's degree = 0.45
Probability of working in nursing = 0.85
Probability of both = 0.4
So, Probability of getting a graduate is currently working in nursing, given that they earned a bachelor's degree would be :
Hence, the required probability is 0.008.
Solve for x, like I did, then plug it in the equation for UV.
So,
(2x12) - 22 = UV
24-22 = UV
UV = 2
