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ivolga24 [154]
3 years ago
9

A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs o

f congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted..
Mathematics
2 answers:
Licemer1 [7]3 years ago
4 0
To verify whether the diagonals are perpendicular to each other, we find the slope of each segment and we can see that the slopes should be opposite reciprocals of each other.This means, these segments are really perpendicular. This theorem can be verified through congruent angles present in the quadrilateral.
blsea [12.9K]3 years ago
3 0

@meerkat18 what is the theorem that is being verified through congruent angles present in the quadrilateral?

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What is 4:11 in the ratio 1:n?
valentina_108 [34]
4:11 ratio 1:n
To find n, we have to make the left hand sides the same. I suggest that dividing the first one by four will give us one.  We have to treat both sides the same, so we divide the 11 by 4 as well, and that gives us the answer.
1 : 2.75.
8 0
3 years ago
Read 2 more answers
In a study investigating the effect of car speed on accident severity, 5000 reports of fatal automobile accidents were examined,
Oliga [24]

Answer:

a. The proportion of vehicle speeds were between 25 and 57 mph is 68.26%

b.The proportion of vehicle speeds exceeded 57 mph is 15.87%.

Step-by-step explanation:

a. To calculate what proportion of vehicle speeds were between 25 and 57 mph we would have to make the following calculations:

Probability that the vehicle speeds were between 25 and 57 mph is given by:

P(25≤x≤57)

=P(<u>25-41 </u>≤ <u>x-μ </u> ≤ <u>57-41)</u>

       16        σ         16

=P(-1≤z≤1)

=P(z≤1)-P(z≤1)

=0.8413-0.1587

=0.6826

The proportion of vehicle speeds were between 25 and 57 mph is 68.26%

b. To calcuate what proportion of vehicle speeds exceeded 57 mph, we would have to make the following calculation:

Probability that vehicle speeds exceeded 57 mph is given by

P(x>57)

=P(<u>x-μ </u> > <u>57-41)</u>

     σ          16

=P(z>1)

=1-P(z≤1)

=1-0.8413

=0.1587

The proportion of vehicle speeds exceeded 57 mph is 15.87%.

7 0
3 years ago
Please help me with math my question is in the image below.
Angelina_Jolie [31]
I’m sorry but I don’t understand this
7 0
3 years ago
Kayla studied data collected on the school basketball team for one season. She noticed that a player on the team had 13 successf
Art [367]

If she is setting up a proportion to find the percent, the value of m would be any variable and the value of n would be 100.  When she solves the problem, m=65%.

13/20 is part out of whole.  The rest of the proportion will be "percent out of 100"; since we don't initially know the percent, we use a variable.  Thus we have

13/20 = m/100

Cross multiply:

20*x = 13*100

20x = 1300

Divide both sides by 20:

20x/20 = 1300/20

x = 65

8 0
3 years ago
the length of a rectangle is 100 centimeters and it's perimeter is greater than 400 cm write an inequality to find width of the
BlackZzzverrR [31]

Answer:

200+2w>400 and w>100.

Step-by-step explanation:

The perimeter of a rectangle can be found using 2*l + 2*w = P. If the length is 100 cm then 2(100)+2w > 400. Simplified this is 200+2w>400.

You can solve for the width and you find

200+2w>400

2w>200

w>100.

7 0
3 years ago
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