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Ivenika [448]
3 years ago
5

LOOK AT THE IMAGE ABOVE!

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

definition of a square : Square has 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.

first the shape seems a square, but looking at the information given shows the shape is quadrilateral because it has four sides, and it is not a square because the angles of the shapes are not equal to 90 degrees( even though it shows that) but the given information shows that the angles are 28,152,152, and C. The sum of the angles of any quadrilateral should equal 360,

152+152+28+28=304+56=360 degrees,

opposite angles are equal : angle D=Angle B=28 and angle A=angle C=152

AD=BC and DC=AB ( it seems the shape is a parallelogram).

second image : the two line are parallel then :

angle: g+h=e+d+h=180 degrees ( straight angles)

angle h=angle f

angle g= angle e+d

angle h+b=90 degrees

the sum of angles d+a+c=180 degrees ( the sum of angles of triangle=180).

sum of angles: d+h+90+d+a+c=360 degrees ( sum of angles of quadrilateral=360)

gladu [14]3 years ago
5 0

Answer:

13. Parallelogram

14. alternate interior angles (h & a)

same side interior angles (e+d & a)

Step-by-step explanation:

13. Parallelogram: Draw it out with the angles. It helps. It can't be a square, because the side lengths aren't the same (2 lines vs 1 line). It can't be a rectangle because rectangles have 90 degrees and not 152 and 28. It can't be a rhombus because the side lengths in a rhombus must be the same (a rhombus is a square that has been stretched).

14. Look at picture (there might be more than what I wrote in the answer)

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oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

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