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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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1. An account is opened with a balance of $2800earning 4.25% simple interest. What will be thebalance in the account in 30 years
JulijaS [17]

Answer:

$6370

Explanation:

The simple interest formula gives us the final amount A given the principal amount P:

A=P(1+rt)

where r is the interest rate and t is the time interval.

Now in our case we have

P = 2800

r = 4.25/100

t = 30 years

therefore, the above formula gives

A=2800(1+\frac{4.25}{100}\cdot30)

which simplifies to give

\boxed{A=\$6370}

Hence, the account balance after 30 years will be $6370.

7 0
1 year ago
What is 65/8 as a mixed number
lukranit [14]
8 1/65
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8 0
3 years ago
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The points A(12,7), B(12,−3), C(−2,−3), and D(−2,7) form rectangle ABCD. Which point is halfway between A and B? CLEAR CHECK (12
Flura [38]
We have that
coordinates  are
<span>A(12,7), B(12,−3), C(−2,−3), and D(−2,7) 
</span>
i use the formula of midpoint <span>between A and B
</span>Xm=(x1+x2)/2    Ym=(y1+y2)/2
A(12,7) B(12,−3)
Xm=(12+12)/2=12
Ym=(7+(-3))/2=2

the point  (12,2)   <span>is halfway between A and B</span>
4 0
4 years ago
8-4x=4-3(2x+6) ??? Someone help
Maurinko [17]
<span>       8 - 4x=4 - 3(2x+6)
<=> 8 - 4x = 4 - 6x - 18
<=> 8 - 4 + 18 = 4x - 6x
<=> 22 = -2x
x = -11</span>
7 0
3 years ago
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Find a ratio equivalent to 12/21 with lower terms
dmitriy555 [2]

Find factors of 12 and 21

Divide 3 from both numerator and denominator.

(12/21)/(3/3) = 4/7

4/7 is your ratio equivalent to 12/21

hope this helps

3 0
3 years ago
Read 2 more answers
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