Left side is 22.
22 x 10 = 220
(20 - 6) x 12 = 168
6 x 20 = 120
220 + 168 + 120 = 508
Thank you very much.
Angle B=118 degrees
angle D=118 degrees
angles C=62 degrees
angle A=62 degrees
angle G=118 degrees
angle K=62 degrees
angle P=62 degrees
angle L=62 degrees
angle N=118 degrees
angle M=118 degrees
angle W=62 degrees
angle I=118 degrees
angle F=62 degrees
angle J=62 degrees
angle E=49 degrees
angle H=118 degrees
angle R=53 degrees
angle U=71 degrees
angle T=109 degrees
angle V=109 degrees
angle S=35.5
angle Q=35.5
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
Answer:
A counterexample for a conjecture is the statement that disproves a conjecture.
Step-by-step explanation:
To find : What is a counterexample for the conjecture?
Solution :
A conjecture is an educated guess but not yet proven. It is possible that next example shown the conjecture wrong.
A counterexample is an example that disproves or disagree a conjecture.
For example : Prime numbers - 3,7,11,23
Conjecture - All prime numbers are odd
Counterexample - 2
→ 2 is a prime number but not odd, it is an even number.
