1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Law Incorporation [45]
3 years ago
12

100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Mathematics
2 answers:
dimulka [17.4K]3 years ago
3 0

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

  • D= (-2, 2), E = (-1, -2), F = (-4, -1)

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

<u>Find slopes of FD and CB and compare. </u>

  • m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
  • m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
  • As we see the slopes are same

<u>Find the slopes of FE and AB and compare.</u>

  • m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
  • m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
  • Slopes are same

<u>Find the slopes of DE and AC and compare.</u>

  • m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
  • m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
  • Slopes are same

4.

As per definition, midsegment is half the parallel side.

<u>We'll show that FD = 1/2CB</u>

  • FD = \sqrt{(2+1)^2+(-2+4)^2} = \sqrt{3^2+2^2} = \sqrt{13}
  • CB = \sqrt{(1 + 5)^2+(1+3)^2} = \sqrt{6^2+4^2} = 2\sqrt{13}
  • As we see FD = 1/2CB

<u>FE = 1/2AB</u>

  • FE = \sqrt{(-4+1)^2+(-1+2)^2} = \sqrt{3^2+1^2} = \sqrt{10}
  • AB = \sqrt{(-5 -1)^2+(3-1)^2} = \sqrt{6^2+2^2} = 2\sqrt{10}
  • As we see FE = 1/2AB

<u>DE = 1/2AC</u>

  • DE = \sqrt{(-2+1)^2+(2+2)^2} = \sqrt{1^2+4^2} = \sqrt{17}
  • AC = \sqrt{(-5 +3)^2+(3+5)^2} = \sqrt{2^2+8^2} = 2\sqrt{17}
  • As we see DE = 1/2AC

ivann1987 [24]3 years ago
3 0

Answer:

thanks for the points bro jk the answers are 1234

Step-by-step explanation:

You might be interested in
Easy, need help, thanks.
TEA [102]

Answer:

<em>A. 35 deg</em>

Step-by-step explanation:

The triangles are congruent bu HL.

m<RCD = m<PCD = 35 deg

5 0
3 years ago
Read 2 more answers
Suav's math teacher plots student grades on their weekly quizzes against the
zhuklara [117]
They expect a good test grade A+
4 0
3 years ago
Can someone solve this
RSB [31]

a) 110°

b) 39°

️️️️️️️️

7 0
2 years ago
How many 4-digit combinations of numbers are there such that no digits repeat and all of the digits are from 0 through 9?
SashulF [63]
10\cdot9\cdot8\cdot7
3 0
3 years ago
(Geometry course question) Explain why it is not possible to construct an equilateral triangle that has
Nutka1998 [239]

Answer:

  √3 is irrational

Step-by-step explanation:

The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.

<h3 /><h3>Location of point C</h3>

With reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC <em>never passes through a point with integer coordinates</em>. (Any point with integer coordinates would be on a line with rational slope.)

<h3>Equilateral triangle</h3>

The line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.

The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...

  \left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right]

Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...

  cos(60°)·x + sin(60°)·y

will be irrational.

As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.

6 0
2 years ago
Other questions:
  • Which equation is equivalent toy- 6 = -12(x+ 4)? (1 point)
    15·1 answer
  • A grocery store has 120 bottles of spring
    8·1 answer
  • Which term does not belong with the other three?
    11·1 answer
  • Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
    10·2 answers
  • What is another way to represent 100
    8·2 answers
  • You are playing a card game with friends. at one point. you double your score. in the next hand you lose 75 points. you end up w
    12·1 answer
  • Translate the phrase into an algebraic expression.
    6·1 answer
  • Can someone please give me the answer to this
    15·1 answer
  • What is the Greatest Common Factor of thepolynomial 3x - 3y ?
    10·1 answer
  • Lin and Diego are drinking milkshakes.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!