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aalyn [17]
2 years ago
9

Find the diagonal BD simplify you answer (Explain)

Mathematics
1 answer:
Dima020 [189]2 years ago
5 0

Answer:

See below:

Step-by-step explanation:

First of all, you will see that diagonal BD is a angle bisector for Angles <ABC and <ADC. Now, knowing that it is a square.

We see that the angle bisector splits the angles into 45 degrees each due to the sum of angles in a square being 360 degrees hence giving us 4 right angles.

Now, if we see this, we see that we have a 45 45 90 Triangle!

The theorem states that the hypotenuse is equal to x\sqrt{2}.

Hence, we get our answer of 5\sqrt{2}!

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photoshop1234 [79]

Answer:

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7 0
2 years ago
Please solve this question!!​
GaryK [48]

Answer:  (i) 1/221     (ii) 11/221      (iii) 95/663        (iv) 1/663

<u>Step-by-step explanation:</u>

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards  →  3/51 = 1/17

  <u>1st Draw </u>                   <u>2nd Draw </u>                  <u>Outcome</u>         <u>Probability</u>

 King: P(K) = 1/13        King: P(K₂/K₁) = 1/17     King, King       (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards  →  11/51

<u>1st Draw </u>                 <u>2nd Draw </u>                  <u>Outcome</u>       <u>Probability</u>

 Face: P(F) = 3/13    Face: P(F₂/F₁) = 11/51   Face,Face     (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards  →  19/51

  <u>1st Draw </u>                 <u>2nd Draw </u>                       <u>Outcome</u>   <u>Probability</u>

Black: P(B~) = 5/13   Black: P(B~₂/B~₁) = 19/51    B~,B~    (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards  →  1/51

  <u>1st Draw </u>                 <u>2nd Draw </u>                   <u>Outcome</u>         <u>Probability</u>

 Ace: P(A) = 1/13      Qh: P(Qh₂/A₁) = 1/51   Ace,Queen(h)   (1/13) x (1/51) = 1/663

7 0
3 years ago
What are the intercepts of y=4x-2?
pshichka [43]
First, solve for the x - intercept. To do so, equate y to 0 and solve for x. 

                                               0 = 4x - 2, x = 1/2

Second, solve for the y - intercept. Equate x to 0 which will give us,

                                              y = (4)(0) -2, y = -2

Therefore,  the x-intercept is 1/2 and y-intercept is -2. 
8 0
3 years ago
Apply the zero product property to solve the equation below:<br> x (x + 2) = 0
True [87]

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

3 0
2 years ago
The base of a parallelogram is 3.2 centimeters and the height is 1.8 centimeters. What is the area of the parallelogram? Do not
jeka94

Answer:

A = 5.76 cm²

Step-by-step explanation:

3.2 cm x 1.8 cm = 5.76 cm²

3 0
2 years ago
Read 2 more answers
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