Ask question

Ask question

All categories

2 years ago

5

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.

1 answer:

ExtremeBDS [4]2 years ago

7 0

Try the answer vertex

You might be interested in

Need help with this questions

leva [86]

1. Total
2. Deficit
( hope this helps)

4 0

3 years ago

I dont know which two chose

pshichka [43]

- Points J, K, and Q are collinear
- There is only one line that can be drawn through points L and P

7 0

2 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

Plz help ASAP!!!!!!!!!!<br> will mark brainliest

alekssr [168]

Answer:

X = 0.9

Step-by-step explanation:

$\frac{2.7}{5.1} = \frac{x}{1.7} \\ \frac{2.7 \times 1.7}{5.1} = x \\ x = 0.9$

5 0

3 years ago

Read 2 more answers

The fish tank at Matthew's house holds 468 gallons but is leaking at a rate of 4 gallons per day. Ariana's fish tank holds 624 g

user100 [1]

468 plus 624 times 7 divided by 4 and you should get the amount of water in the two tanks

6 0

2 years ago