Which statement proves that quadrilateral JKLM is a kite?

Mathematics

2 answers:

sesenic [268]3 years ago

9 0

A quadrilateral is a kite if the diagonals are:

i) perpendicular
ii) bisect each other
iii) not equal ( together with conditions i and ii this would make the quadrilateral a square)

Another definition of the kite is :

a quadrilateral with 2 pairs of equal adjacent sides.

Let's check the choices one by one:

A. ∠M is a right angle and MK bisects ∠LMJ.

according to these, ML and MJ may well be not equal...

B. LM = JM = 3 and JK = LK = √17.

this makes the quadrilateral a kite.

C. MK intersects LJ at its midpoint

if they are not perpendicular, the quadrilateral is not a kite.

D. The slope of MK is –1 and the slope of LJ is 1.

this only means that MK and LJ are perpendicular, but not whether they bisect each other,

Answer: only B

frosja888 [35]3 years ago

7 0

Answer:

b i jus did this on edg n got it right:)

Step-by-step explanation:

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Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

TiliK225 [7]

For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.

8 0

3 years ago

Write 15+45 as a product of two factors using the gcf and the distributive property

valkas [14]

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )