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2 years ago

Kite propeties in geometry

Mathematics

1 answer:

sveticcg [70]2 years ago

5 0

Answer:

The two angles are equal where the unequal sides meet.

It can be viewed as a pair of congruent triangles with a common base.

It has 2 diagonals that intersect each other at right angles.

The longer or main diagonal bisects the other diagonal.

A kite is symmetrical about its main diagonal

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Tell whether the lines through the given points are parallel, perpendicular, or neither.

ira [324]

Answer: Line 1: (2, 3) , (4, 12)

m = (12 - 3)/(4 - 2) = 9/2 This is the slope of the line

y = (9/2)x + b

3 = (9/2)(2) + b

3 = 9 + b

b = -6

y = (9/2)x - 6

Line 2: (5, 10) , (14,8)

m = (8 - 10)/(14 - 5) = -2/9

this slope is the opposite sign, and inverse of the first equation's slope. Therefore, the line is perpendicular.

y = mx + b

8 = (-2/9)(14) + b

8 = -28/9 + b

11.11 = b

y = (-2/9)x + 11.11

Step-by-step explanation: Hope this helps :)

7 0

1 year ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Standard deviation of 23 bags

$\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167$

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

$P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)$

$= 1 - P(z < 12.57)$

Calculation the value from standard normal z table, we have,

$P(x < 5.95) = 1 - 1 = 0$

c) P( fill volume of 23 bags is below 6 ounces) = 0.001

P(x < 6) = 0.001

$P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})$

Calculation the value from standard normal z table, we have,

$P( z \leq -3.09) = 0.001$

$\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948$

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0

2 years ago

I’m stuck and I would really like your help.

Neporo4naja [7]

Answer:

Answer: 1/12

Step-by-step explanation:

2/5x-4=8-3/5x.

We want to tank x out of the denominator by multiplying x on both sides.

2/5-4x=8x-3/5

Now we simplify

-12x=-1

x=1/12

Put x in the equation to check it

6 0

2 years ago

Read 2 more answers

Can someone please help me with b, d, and 9-13? I already drew a number line, thanks in advance! :)

inessss [21]

B)
$\frac{3}{13} = s$
d)
$\frac{5}{4} = s$
9) I'm not really sure how to answer it, but I guess like 2.1, 2.2, 2.5, etc.,

10)
${2}^{2} = 4$
${3}^{2} = 9$
so {5, 6, 7, 8} is the answer

11) for some reason it won't let me insert a picture but put place
$\sqrt{4}$
above 2, and then place
$\sqrt{9}$
above 3, and then place
$\sqrt{7}$
in between 2 and 3, but place it a little closer to three since
$\sqrt{7} = 2.65$
12) place
$\sqrt{5}$
between 2 and three, but closer to two since
$\sqrt{5} = 2.24$
and also
$\sqrt{5} < \sqrt{7}$
and for number 13) the square root of 144 is 12, and the square root of 169 is 13, so any numbers between 12 and 13 will work.

I hope this helped and if not, message me and ill try to explain!

8 0

2 years ago

HELPPPP!!! and get brainliest!!!!!!! + 22 points

ella [17]

Answer:

Step-by-step explanation:

b/c the function goes thur the point (1,4) we know it's 4 times more than f(x) so g(x) = 4 $x^{2}$

8 0

2 years ago