Answer:
1 5/7 hours.
Step-by-step explanation:
1/3+1/4 = 7/12
1/7/12= 1.714 hrs
Correct statements are:
If it is reflected across the y-axis, its length still will be 12 units.
If it is rotated 270° about the origin, its length still will be 12 units.
If it is translated 15 units up, its length still will be 12 units.
<u>Step-by-step explanation:</u>
Whatever it may be rotation, reflection or translation, the size of the line will never change. So length of the line is same as 12 units in the image.
So the wrong statements are
If its reflected across y = -x then the length will no longer be 12 units.
If it is rotated 90° about the origin, then the length will no longer be 12 units.
If it is translated 18 units to the right, then the length will no longer be 12 units.
Answer:
60 miles
Step-by-step explanation:
If it takes 15 hours to travel 900 miles then it gives you the fraction 15/900 where the numerator(top number) is 15 and denominator(bottom number) is 900.
Then to simplify it: since 15 is a common factor of itself(15) and 900, 15/15 = 1(1 hour) and 900/15 = 60(60 miles).
Answer:
They're not parallel, because 4x and 12x are not the same slope
<u>Answer-</u>
<em>The correct answer is</em>
<em>∠BDC and ∠AED are right angles</em>
<u>Solution-</u>
In the ΔCEA and ΔCDB,

As this common to both of the triangle.
If ∠BDC and ∠AED are right angles, then 
Now as
∠BCD = ∠ACE and ∠BDC = ∠AED,
∠DBC and ∠EAC will be same. (as sum of 3 angles in a triangle is 180°)
Then, ΔCEA ≈ ΔCDB
Therefore, additional information can be used to prove ΔCEA ≈ ΔCDB is ∠BDC and ∠AED are right angles.