Answer:
x = 17
Step-by-step explanation:
Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.
Therefore:
53° + (8x - 9)° = 180°
Solve for x
53 + 8x - 9 = 180
Collect like terms
53 - 9 + 8x = 180
44 + 8x = 180
Subtract 44 from both sides
44 + 8x - 44 = 180 - 44
8x = 136
Divide both sides by 8
8x/8 = 136/8
x = 17
Answer:
0.034921 miles or 1843774 feet tall
Step-by-step explanation:
Using trigonometric functions we know that 
and 
where 
=angle and r is the hypotenuse of the triangle.
First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:
Now we will calculate the height of the building using the y equation and so:
The building is 0.034921 miles or approximately 184.3774 feet tall.
10.5+(10.5*.4)=10.5+(4.2)=14.7lbs after the first month
320% is equal to 3 whole parts and 20% of a part. If one part is 100, then the mixed number would be 3 20/100. However, the problem says to simplify this, so it would be, 3 1/5!
Answer: 52.9 quarts
Step-by-step explanation:
From the question, we are informed to calculate the number of quarts that are in 50 liters.
1 liter = 1.057 liquid quarts
50 liters will now be:
= 50 × 1.057
= 52.85
= 52.9 quarts
