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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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If a recipe call for 2 gallons of strawberries, how many pounds should you use if there are 7 oz per cup?
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20-25

Step-by-step explanation:

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3 years ago
If sydny and austin make two kids, and those kids have two more kids, how many kids where made?
Nataly_w [17]

Answer:

If each of the kids have 2 more kids: 6

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2 years ago
Read 2 more answers
Orion is constructing a rectangular box. The base of the box is a piece of wood with an area of 90 square inches. The volume of
gladu [14]

The volume of a rectangular prism is the product of the three dimensions.

The width and length give the base area,  which is 90.

So, if we multiply the base area and the height, we get the volume:

w\cdot l\cdot h = V \implies h = \dfrac{V}{w\cdot l}

We know that V=1080 and w*l (i.e. the base area) is 90. So, we have

h=\drac{1080}{90}=12

5 0
3 years ago
Solve this equation log3X + log3(x-6) = log3 7
ExtremeBDS [4]

Hello!

log₃(x) + log₃(x - 6) = log₃(7) <=>

<=> log₃(x * (x - 6)) = log₃(7) <=>

<=> log₃(x² - 6x) = log₃(7) <=>

<=> x² - 6x = 7 <=>

<=> x² - 6x - 7 = 0 <=>

<=> x² + x - 7x - 7 = 0 <=>

<=> x * (x + 1) - 7 * (x + 1) = 0 <=>

<=> (x + 1) * (x - 7) = 0 <=>

<=> x + 1 = 0 and x - 7 = 0 <=>

<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>

<=> x = 7

Good luck! :)

3 0
3 years ago
What is the slope of the line that passes through the pair of points?<br> (4,8), (10,-2)
Mrac [35]

Answer:

-10/6

Step-by-step explanation:

10-4=6, and 8-(-2)=-10

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3 years ago
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