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nalin [4]
4 years ago
14

Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the

vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA
Mathematics
2 answers:
borishaifa [10]4 years ago
7 0

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation:

plato

Bogdan [553]4 years ago
4 0

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

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Show that the statement is true. If ST has endpoints S(-6, -3) and T(0,3), then the midpoint M of ST lies
tankabanditka [31]

Answer:

Use the midpoint formula

Step-by-step explanation:

(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2

M = ( -3 , 0) which lies on the x axis

6 0
3 years ago
Number of Packets
Alex

Answer:

13. D = 18

14. S = (x, y + 6)

Step-by-step explanation:

13.

Given

M = (-8,2)

S = (10,2)

Required

Determine the distance between M and S

Distance (D) is calculated using:

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Where

(x_1,y_1) = (-8,2)

(x_2,y_2) = (10,2)

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}

D = \sqrt{(10 +8)^2 + 0^2}

D = \sqrt{18^2 + 0}

D = \sqrt{18^2}

D = 18

<em>Hence, the distance between M and S is 18 units</em>

<em></em>

14.

The coordinate of S and P are not given,

So, I'll just use (x,y) for P

i.e.

P=(x,y)

Required

Determine the coordinates of S

If S is 6 units above P, then the coordinates of S is

S = (x, y + 6)

<em>i.e. we add the units to the y coordinate of P.</em>

8 0
3 years ago
Solve for x if x = -3. 2x+3
umka21 [38]

Answer:

-3

Step-by-step explanation:

  1. Plug in the value of x: 2(-3) + 3
  2. 2(-3) = 2 × -3 = -6
  3. Plug -6 in: -6 + 3
  4. -6 + 3 = -3

I hope this helps!

8 0
3 years ago
If collecte 63 cans which is 21%. How many cans are 46%. And how many is 33% ?
EleoNora [17]
If 63 cand are 21% we must find out what 1% is
To do that we must divide 63 by 21
63/21 = 3
So 1%=3 cans
To find out what a percentage equals we must times it by 3
46 * 3 =138 cans
33*3 = 99 cans
Hope this helps :)
7 0
3 years ago
A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total
larisa86 [58]

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

<h3>Find the required expression:</h3>
  • Algebraic expression is made up of numbers, operations and variables.
  • Algebraic expression is true for all values of x.
  • For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

Learn more about algebraic expression here:

brainly.com/question/953809

#SPJ1

7 0
1 year ago
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