Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
Answer:
1) 12
2) x=9
3) width=26
4) length=16
Step-by-step explanation:
Answer:
180 hours
Step-by-step explanation:
Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.
By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.
The answer is 36°.
Complementary angles are those angles whose sum is 90°.
Let angles be x and y.
x + y = 90°
x : y = 2 : 3
_____
3 * x = 2 * y
3x = 2y
x + y = 90°
_____
x = 2/3*y
x + y = 90°
2/3y + y = 90°
2/3y + 3/3y = 90°
5/3y = 90°
5y = 90° * 3
5y = 270°
y = 54°
x + 54° = 90°
x = 90° - 54°
x = 36°
The smaller angle is 36°
Answer:
x=2
Step-by-step explanation:
