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7nadin3 [17]
4 years ago
13

If point F is the midpoint of segment DE, which statement is true?

Mathematics
1 answer:
FinnZ [79.3K]4 years ago
5 0
Segment DF is 1/2 the length of Segment DE. Since the entire segment is DE and it's midpoint is at F, the segment would be broken into 2 equal segments in one. Segment DF and FE. Segment DF is congruent to Segment FE.
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Identify the monomial function described as odd or even, and indicate whether a is positive or negative. As x > 0 increases,
pentagon [3]

Answer:

odd, a is positive

even, a is negative

even, a is positive

odd, a is negative

I got it right on edge

5 0
3 years ago
There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?
timama [110]

Answer:

78

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

The equation version:

\frac{a}{60} = \frac{30}{100}

It is just proportions.

3 0
3 years ago
Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0
3 years ago
What is the value of this expression when c = -4 and d = 10?
svlad2 [7]

The answer would be B.9

5 0
3 years ago
Read 2 more answers
A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?
gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation.  We set this up as a right triangle to use right triangle trig to solve for the missing angle.  The height is 30 and the hypotenuse is 400.  The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio.  Setting up the ratio using our info:

sin\theta=\frac{30}{400}

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

sin^{-1}(

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0
4 years ago
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