In the given figure,
line a & b are parallel, line l and m are parallel.
for line a and b are parallel and line l act as a transversal.
So, angle BAC and ACD are the alterantive interior angles.
Angle BAC = Angle ACD
2x = 46
i.e. Angle BAC = 46
Lines l and m are parallel, a line act as a transversal,
So, the angle BAC and angle y are the corresponding angle,
Since the pair of corresponding angles are always equal so,
Angle BAC = y
46 = y
y = 46
Answer : y = 46
<h3><u>How to solve this problem?</u></h3>
The way I would solve this problem is by first finding the unit rate, or the rate that the jet plane travels in one minute. Then I would multiply the rate by the number of minutes I want to know how far the jet plane flies; in this case it would be multiplied by 18 minutes.
<h3><u>Finding the unit rate.</u></h3>
Let's start by finding the unit rate. To find the unit rate we would divide the ratio, 450 miles:60 minutes (one hour) by 60 minutes to make the 60 minutes become one minute and 450 miles become 7.5 miles.
450 miles:60 minutes ÷ 60/60
7.5 miles:1 minute
<h3><u>Solving the question.</u></h3>
The unit rate is 7.5 miles per minute. Since we know the jet plane flies 7.5 miles every one minute, we can multiply this amount by 18 minutes to find how many miles the place can fly in 18 minutes.
7.5 miles * 18 minutes = 135 miles
The answer to your question is the jet plane travels 135 miles in 18 minutes.
Answer:
x = 66
y = 68
Step-by-step explanation:
y is the same as the angle that is 68 degrees. Then, because the total of 46, x, and y should = 180, you solve for 180 by plugging in the y value.
46 + x + 68 = 180
114 + x = 180
x = 66
The kitten gained 21 ounces. 2 pounds is equal to 32 ounces, 32 + 3 = 35 and 56 - 35 = 21 ounces
Let time = y and speed = x. An inverse variation equation, if time varies inversely with speed, is

. We have y = 2.5 at an x of 48, so we will fill in and solve for k.

. Multiply 2.5 times 48 to get that k = 120. Now we will use that k and a new x of 40 to find a new y, time.

and y = 3. That means it will take 3 hours to travel the distance at 40 miles per hour, which of course takes longer because you're going slower.