Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.
Their difference is 16. Hence:

The first number is three times the second number. So:

Substitute:

Solve for <em>b</em>. Subtract:

And divide both sides by two:

So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.
Answer:
Yes, `18 of them wore a different costume
Step-by-step explanation:
49+36=85 which is not 103 children
So then you take 103 and subtract 85 (103-85= 18)
And your answer is 18, so 18 of the children wore a different type of costume.
9514 1404 393
Answer:
no
Step-by-step explanation:
It is close, but not exactly a right triangle.
If it were a right triangle, we would have ...
21² +70² = 73²
We have instead ...
441 +4900 ≠ 5329
5341 ≠ 5329 . . . . . . . . not a right triangle
Answer:
The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).
Step-by-step explanation:
If a line connecting the midpoint of two sides and parallel to the third side of the triangle, then it is called a midsegment.
From the given figure it is noticed that the vertices of the triangle are D(1,4), E(1,1) and F(-3,3).
If the midsegment is parallel to DE, then the end points of the midsegment are mid point of DF and EF.
Midpoint formula.

Midpoint of DF,


Midpoint of EF,


Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).