Answer:
x = 70
Step-by-step explanation:
Since the lines are perpendicular then ∠ AED = 90°, thus
x + 20 = 90 ( subtract 20 from both sides )
x = 70
Cannot be determined as there isn’t an angle
Answer:
42 child and 70 adult
Step-by-step explanation:
Let a = number of adult tickets
c = number of child tickets
a+c = 112
2.25a + 1.75c = 231
Solve the first equation for a
a = 112-c
Substitute this into the second equation
2.25(112-c) + 1.75c = 231
Distribute
252 - 2.25c +1.75c = 231
Combine like terms
252 -.5c = 231
Subtract 252 from each side
252-252 -.5c = 231-252
-.5c = -21
Divide each side by -.5
-.5c/-.5 = -21/ -.5
c = 42
Now can find a
a = 112-c
a = 112-42
a = 70
Answer:
Step-by-step explanation:
36 d²-36 d+9=9(4d²+4d+1)
=9[4d²+2d+2d+1]
=9[2d(2d+1)+1(2d+1)]
=9(2d+1)(2d+1)
=9(2d+1)²
=[3(2d+1)]²
=(6d+6)²
length=6d+6
perimeter=4(6d+6)=24d+24
when d=2
length=6×2+6=18in
perimeter=4×18=72 in
area=18²=324 in²
Answer:
A, B and C
Step-by-step explanation:
A) 3 and 18 = has 3 as factor
B) 8 and 24 = has 3 as factor
C) 12 and 18 = has 3 as factor
D) 1 and 3 = has as factor of 1 and 3
so the answer is A, B and C