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Tcecarenko [31]
3 years ago
11

Kite propeties in geometry

Mathematics
1 answer:
sveticcg [70]3 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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6 men and 8 women are going to be assigned to a specific row of seats in a theater. If the 14 tickets for the numbered seats are
Sedbober [7]
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5

No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000

No of ways 14 people can be arranged in 14 seats = 14!

Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
</span>
8 0
3 years ago
Solve the system using substitution: y + 8x = 10 and 2y - 4x = 40
exis [7]

Answer:

Hence x = -1 and y = 18

<em></em>

Step-by-step explanation:

Given the system of equations

y + 8x = 10... 1

2y - 4x = 40 ... 2

From 1; y = 10-8x

Substitute into 2;

2(10-8x) - 4x = 40

20 - 16x - 4x = 40

20 - 20x = 40

-20x = 40 - 20

-20x = 20

x = -1

Recall that y = 10-8x

y = 10 - 8(-1)

y = 10 + 8

y = 18

Hence x = -1 and y = 18

<em></em>

4 0
3 years ago
4 pts
3241004551 [841]

Check the picture below.

8 0
2 years ago
What is the solution to this
sergeinik [125]

Answer:

D.) 8x^2+11x-9

Step-by-step explanation:

5x^2 -(-3x^2) =8x^2

7x -(-4x) =11x

-4 -5 =-9

Hope it helps

4 0
3 years ago
HELP PLS I DONT KNOW THIS ONE
inessss [21]

Answer:

1                  

-------------  

(x+2)(x-4)

Step-by-step explanation:

x+4                    x+3

-------------   * --------------

x^2+5x+6        x^2 -16

Factor

x+4                    x+3

-------------   * --------------

(x+3)(x+2)        (x+4)(x-4)

Cancel like terms

1                  1

-------------   * --------------

(1)(x+2)        (1)(x-4)

1                  

-------------    x cannot equal -3, -4, -2, 4  

(x+2)(x-4)

5 0
3 years ago
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