Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Total flowers sold = 200
Flowers are :
Carnations, Roses, and Gerber daisies
Carnations = c
Roses = r
Daisies = d
20 fewer roses than daisies ; r = d - 20
Total sales = $453
c = $1.50 each ; r = 3.75 each ; d = 2.25 each
c + d + d - 20 = 200
c + 2d = 220 - - (1)
1.50c + (d - 20)(3.75) + 2.25d = 453
1.50c + 3.75d - 75 + 2.25d = 453
1.50c + 6d = 528 - - - (2)
From (1)
c = 220 - 2d
1.5(220 - 2d) + 6d = 528
330 - 3d + 6d = 528
330 + 3d = 528
3d = 528 - 330
d = 198/3
d = 66
66 × 2.25 = $148.5
c = 220 - 2(66)
c = 88
88 * 1.50 = $132
r = d - 20
r = 66 - 20
r = 46
46 × $3.75 = $172.5
Answer:
α = 62°
β = 56°
gamma = 90°
Step-by-step explanation:
ΔAOB is isosceles, so m∠A = m∠ABO = 28
28 + 28 + m∠AOB = 180
m∠AOB = 180 - 28 - 28 = 124
β = 180 - 124 = 56
arcAB = 124
ΔBOC is isosceles. α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62
∠D is inscribed in a semicircle
m∠D = gamma = 90°
Answer:
Step-by-step explanation:
J and K are equal
8x - 23 = 6x + 11 Add 23 to both sides
8x = 6x + 11 + 23 Combine the right
8x = 6x + 34 Subtract 6x from both sides
8x - 6x = 34 Combine the left
2x = 34 Divide by 2
x = 34/2
x = 17
=================================
M and L are both supplementary to J and K respectively.
J = 8x - 23
J = 8*17 - 23
J = 136-23
J = 113
K = 113
===================================
M + 113 = 180
M = 180 - 113
M = 67
L = 67
Exact form:
1 / 2
Decimal foem :
0.5
