Answer:
The interior angles are 70°,65°,80°,155° and 170°
Step-by-step explanation:
step 1
Find the sum of the interior angles of the pentagon
The sum is equal to
S=(n-2)*180°
where
n is the number of sides of polygon
n=5 (pentagon)
substitute
S=(5-2)*180°=540°
step 2
Find the value of x
Sum the given angles and equate to 540
x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°
7x+50=540°
7x=490°
x=70°
step 3
Find all the angles
x=70°
(x-5)=(70-5)=65°
(x+10)=(70+10)=80°
(2x+15)=(2*70+15)=155°
(2x+30)=(2*70+30)=170°
Answer:
x = 38°
Step-by-step explanation:
An external angle is equal to the sum of the opposite internal angles of a triangle. Either of the internal angles at the base can be found as the supllement of its external angle.
∠OLM = 180° -134° = 46°
Then
... x +46° = 84°
... x = 38° . . . . . subtract 46°
Answer:
b
Step-by-step explanation:
10*7*5=350 in3, the volume of 1 brick
14,000 in3 is the volume of all the concrete
Let X=the number of bricks
350*X=14000
X=14000/350
X=40 bricks
1. There are 10 ducks in total, 5 in each pool.
2. For each pool, the probability of picking a certain numbered duck—for instance, #3—is 20%.
3. Because the pools are separate with, picking one duck from one pool does not affect the chance of picking a certain duck from the other pool.
4. Therefore, the probability that a contestant wins the game is 20%.
Good luck!
