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Sholpan [36]
3 years ago
11

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

olumn proof of the theorem is shown, but the proof is incomplete. A triangle with vertices A is at 6, 8. B is at 2, 2. C is at 8, 4. Segment DE with point D on side AB and point E is on side BC Statement Reason The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula Segment DE is half the length of segment AC By substitution Slope of segment DE is −2 and slope of segment AC is −2 By the slope formula Segment DE is parallel to segment AC Slopes of parallel lines are equal Which of the following completes the proof? (6 points) Select one: a. By the midpoint formula b. By definition of congruence c. Given d. By construction
Mathematics
2 answers:
Andre45 [30]3 years ago
8 0

Answer:

the thrid option im taking the test rn

Step-by-step explanation:

Lilit [14]3 years ago
3 0

Answer:

Midpoint Formula

Step-by-step explanation:

I just took the test sorry :(

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What is the common factors of 74.48 And 52.50
timofeeve [1]
The common factors are 1 and 2.
Factors of 74.48:
1,2,37,74
Factors of 52.50:
1,2,4,13,26,52
6 0
3 years ago
Use the factor theorem to determine whether v + 5 is a factor of v 4 + 16v 3 + 8v 2 - 725. No yes.
levacccp [35]

By factor theorem (v+5) is not a factor of the given polynomial f(v).

What does factor theorem mean?

When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.

                   The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.

The factor theorem states that

f(x) has a factor (x-k) if and only if f(k) = 0

We are given the following information.

F(v) = v 4 + 16v 3 + 8v 2 - 725

        We have to check whether (v+5) is a factor of given polynomial.

( v + 5 ) = ( v - ( - 5 )

 f( -5 ) = ( -5 )^{4} + 16( -5)^{3} + 8( -5)^{2} - 725

          = - 1900

 f(-5) ≠ 0

Learn more about factor theorem

brainly.com/question/13547729

#SPJ4

7 0
1 year ago
If Sonja deposits $1,000 into a savings account at 4% simple interest, how long will it
Galina-37 [17]

Given:

Principal (P)= $1,000

Rate of interest (R)= 4% = 0.04

Simple interest (I)= $100

To find:

The time for which she deposits $1000 into a savings account at 4% simple interest.

Solution:

The formula for simple interest is

I=P\times R\times T

On substituting P=1000, R=0.04 and I=100 in the above formula, we get

100=1000\times 0.04\times T

100=40T

Divide both sides by 40.

\dfrac{100}{40}=T

2.5=T

Therefore, the required time is 2.5 years.

3 0
3 years ago
Click PLEASE TEST GRADE!!!
liraira [26]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
Aneli [31]

Answer:

1/3x + 5

Step-by-step explanation:

This equation changes 1 y for every 3 x and therefore we get 1/3x. This equation will cross the y axis in point(0,5) and we get + 5 for when x = 0

5 0
3 years ago
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