Answer:
x = 61
Step-by-step explanation:
Left hand triangle containing 1 angle of 74
Label the other angle opposite the marked side also as 74
Find the third angle. Call it y.
y + 74 + 74 = 180 Combine like terms
y + 148 = 180 Subtract 148 from both sides.
y = 180 - 148
y = 32
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Now work with the triangle on the right.
label the angle making up the right angle = z
32 + z = 90 These two angles are complementary = 90
32 - 32 + z = 90 - 32 Subtract 32 from both sides
z = 58 Use 58 wherever you see z
x + x + z = 180 Substitute
2x + 58 = 180 Subtract 58 from both sides
2x = 122 Divide by 2
x = 61
Answer:
D. I and IV
Step-by-step explanation:
53 is the opposite of -53.
The absolute value of 53 is 53.
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Increase = 14
Total =50
Percentage increase = 14/50 x 100 = 28%
Answer:
9,500 bottles.
Step-by-step explanation:
1 cubic meter = 1000000 milli liters
We can convert (2.85 cubic meter) to (milli liters) as
1 cubic meter = 1000000 milli liters
2.85 cubic meter = X milli liters
If we Cross multiply and find X, we have
X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter
X= 2850,000 milli liters
Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)
Capacity of the Bottle = 300 ml
Number of bottles that 300 ml capacity can be filled out of it =
(2850,000 milli liters) / (300 ml)
= 9,500 bottles.
