Answer:
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Step-by-step explanation:
Formula for slope of a line is
a) (15,30) and (20,40).
Similarly find the slope of other lines.
b) (12,32) and (18,48).
c) (27,12) and (72,32).
d) (45,15) and (60,20).
e) (27,2) and (243,18).
f) (18,63) and (24,84).
g) (63,9) and (84,12).
After arranging the slopes in increasing order, we get
So, required arrangement of ordered pairs is
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Answer:
y = 12 x = 12√2 z = 12√3
Step-by-step explanation:
The 45° triangle will also have a height of y so....
y² + y² = x² 2y² = x² y² = x²/2 y = √(x²/2)
The 30° triangle
y² + z² = 24² y² = 24² - z² y = √(24² - z²)
sin 30 = y/24 1/2 = y/24 y = 12
y² = x²/2
12² = x²/2²
2(144) = x² x = √(288) x = 12√2
y² + z² = 24²
z² = 24² - y²
z² = 24² - 12²
z² = 576 - 144
z² = 432
= √(16·9·3)
z = 4·3√3
z = 12√3
y² + z² = 24²
12² + (12√3)² = 24²
144 + 144·3 = 576
2y² = x²
2(12)² = x²
288 = (12√2) = 144·2 = 288
Answer:
A,
B
Step-by-step explanation:
If it's a 15 dollar variable fee and a flat 10 our equation looks like this
15c+10
which is the same as A
Now that we know the equation we can just plug a couple of numbers in
when c=3 what is h
15(3)+10=
55
THerefore the answer is B
Answer: x=6 and the angle is 50
Step-by-step explanation:
1. a whole triangle = 180°
2. subtract 70 and 60 to get 50
3. subtract 2 from 50 and get 48
4. divide 48 by 8 and you get 6.
hope this helps :) everyone reading this have a great day!
Answer:
6
Step-by-step explanation:
Don't let the variable confuse you. Replace n with 9. Then, subtract 9 from 15.
