Answer:
angle j = 90
angle k = 29
angle L = 61
Step-by-step explanation:
180 = 90 + (4x-19) + (5x+1)
90 = 9x - 18
108 = 9x
x = 12
To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
Answer:
1 1/4 yards
$20
Step-by-step explanation:
The amount of fabric more that she needs can be determined by subtracting the sum of the yards needed for the shawl and the dress from the fabric she has
sum of the yards needed for the shawl and the dress =

=
= 
Yards needed
= 
cost of dance outfit = $16 x 
× $16 = $20
Answer:
25
Step-by-step explanation:
GC and BD are 2 intersecting chords thus the measure of the angle formed is
∠DFC = 0.5( m arc CD + m arc BG ), that is
0.5(55 + BG) = 40 ( multiply both sides by 2 )
55 + BG = 80 ( subtract 55 from both sides )
BG = 25