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Fantom [35]
3 years ago
13

Based only on the given information, it is guaranteed that AB L CDGiven AABCAD BDBCCDs CDA. True

Mathematics
2 answers:
serious [3.7K]3 years ago
7 0
Hello,

any point equidistant from the ends of a segment belongs to the perpendicular bisector of the segment.
|AD|=|BD| and |AC|=|BC|


lys-0071 [83]3 years ago
6 0

Answer:

Option A. True.

Step-by-step explanation:

It is given in the triangle ABC

AD ≅ BD

AC ≅ BC

CD ≅ CD

By there facts Δ ADC ≅ ΔBDC

Therefore, ∠ADC ≅ ∠BDC

Since ∠ADC + ∠BDC = 180°     [Angle on a straight line AB at point D]

and ∠ADC ≅ ∠BDC

so  ∠ ADC + ∠ADC = 180°

     2∠ADC = 180°

      ∠ADC = 90°

Therefore, AB is perpendicular to DC.

Hence, option A true is the answer.

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You work at a T-shirt printing business. Of 1,300 T-shirts shipped, 106 are imperfect. If you choose a T-shirt at random from th
Colt1911 [192]

It is given in the question that

You work at a T-shirt printing business. Of 1,300 T-shirts shipped, 106 are imperfect.

So out  of 1300 T-shirts, number of perfect t-shirts are

1300-106=1194

So probability that the t-shirt is printed correctly is

= \frac{1194}{1300}=0.92

And to find the percentage, we have to multiply it by 100, and on doing so we will get 92 % .

5 0
4 years ago
Read 2 more answers
A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\dia
Gnoma [55]

Answer:

The number of ways to select 2 cards from 52 cards without replacement is 1326.

The number of ways to select 2 cards from 52 cards in case the order is important is 2652.

Step-by-step explanation:

Combinations is a mathematical procedure to compute the number of ways in which <em>k</em> items can be selected from <em>n</em> different items without replacement and  irrespective of the order.

{n\choose k}=\frac{n!}{k!(n-k)!}

Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> different items respective of the order of arrangement.

^{n}P_{k}=\frac{n!}{(n-k)!}

In this case we need to select two different cards from a pack of 52 cards.

  • Two cards are selected without replacement:

Compute the number of ways to select 2 cards from 52 cards without replacement as follows:

{n\choose k}=\frac{n!}{k!(n-k)!}

{52\choose 2}=\frac{52!}{2!(52-2)!}

      =\frac{52\times 51\times 50!}{2!\times50!}\\=1326

Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.

  • Two cards are selected and the order matters.

Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:

^{n}P_{k}=\frac{n!}{(n-k)!}

^{52}P_{2}=\frac{52!}{(52-2)!}

       =\frac{52\times 51\times 52!}{50!}

       =52\times 51\\=2652

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

6 0
3 years ago
I have no idea what this even means
REY [17]
<span>11.25 μg/m3 – 12.75 μg/m3</span>
3 0
4 years ago
Read 2 more answers
(PLSSSS HELP) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three poin
algol [13]

Answer:

(-2,8)    (7,5)      (1,7)

Step-by-step explanation:

Given

x + 3y = 22

Solving (a): The possible coordinates

We have:

(x,y) = (-2,8)

This gives:

x + 3y = 22 \to -2 + 3 * 8

x + 3y = 22 \to -2 + 24

x + 3y = 22 \to 22

<em>(-2,8) is a point on the grid</em>

(x,y) = (7,5)

This gives:

x + 3y = 22 \to 7 + 3 * 5

x + 3y = 22 \to 7 + 15

x + 3y = 22 \to 22

<em>(7,5) is a point on the grid</em>

(x,y) = (-5,5)

This gives:

x + 3y = 22 \to -5 + 3 * 5

x + 3y = 22 \to -5 + 15

x + 3y = 22 \to 10

<em>(-5,5) is a not point on the grid</em>

<em></em>

(x,y) = (1,3)

This gives:

x + 3y = 22 \to 1 + 3 * 3

x + 3y = 22 \to 1 + 9

x + 3y = 22 \to 10

<em>(1,3) is a not point on the grid</em>

(x,y) = (1,7)

This gives:

x + 3y = 22 \to 1 + 3 * 7

x + 3y = 22 \to 1 + 21

x + 3y = 22 \to 22

(1,7) is a point on the grid

So, we plot the following on the grid

(-2,8)    (7,5)      (1,7)

See attachment

8 0
3 years ago
What is 3.754×10^5 than round it to the tenth
saul85 [17]

Answer:

375,400

Step-by-step explanation:

  1. 3.754*10^5
  2. 10^5=100,000
  3. 3.754*100,000
  4. 375,400

YaYYYY u got it! =)

5 0
3 years ago
Read 2 more answers
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