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3 years ago

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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Factor 18bc + 9ab + 3cb completely.

Natasha_Volkova [10]

Answer:

$3b\left(7c+3a\right)$

Step-by-step explanation:

$18bc+9ab+3cb$

$=6\cdot \:3bc+3\cdot \:3ba+3bc$

$=3b\left(6c+3a+c\right)$

$=3b\left(7c+3a\right)$

6 0

3 years ago

Q1.

Alinara [238K]

Answer:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

Step-by-step explanation:

In order to find the smallest number of units that would be possible to buy, find the least common multiple between the number of units in each box:

$12\ \ 10\ \ 6\ |2\\6\ \ \ \ 5\ \ \ 3\ |2\\3\ \ \ \ 5\ \ \ 3\ |3\\1\ \ \ \ 5\ \ \ 1\ |5\\1\ \ \ \ 1\ \ \ 1\ | = 2*2*3*5=60$

The number of boxes required for each item to get 60 units is:

$d=\frac{60}{12} = 5\ boxes \\p=\frac{60}{10} = 6\ boxes \\r=\frac{60}{6} = 10\ boxes$

the smallest number of boxes of each item he could buy is:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

8 0

3 years ago

Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining mone

stellarik [79]

Answer: 11.78

Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.

6 0

3 years ago

Read 2 more answers

You own a car wash with three of your friend the total profit in this first month was 438. In two months each of you had made a

goldenfox [79]

$736 because $184 x 4 would give you your amount.

8 0

2 years ago

How do i solve this equation

dedylja [7]

The first step to solving this is to multiply both sides of the equation by 3
8 + 10y = 9y - 12
now move the variable to the left side and change its sign
8 + 10y - 9y = -12
move the constant to the right side and change its sign
10y - 9y = -12 - 8
collect the like terms for y
y = -12 - 8 (it equals 1 when you subtract 10 from 9 which is the same is simply saying "y")
calculate the difference on the other side of the equals sign
y = -20
this means that the correct answer to your question is -20.
let me know if you have any further questions
:)

6 0

2 years ago