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Hitman42 [59]
3 years ago
7

Maths question!!! The angles in triangle ABC are given in degrees, prove that AB=AC

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
Do 12x+20=40x-8 and solve for x
ra1l [238]3 years ago
5 0
First, find out the value of x to confirm if they are really true. 

We know that all the interior angles of a triangle equal to 180 degrees. 

4x+5x-8+3x+20=180 
12x=180-12 
12x=168
x=168/12 
x=14 

Put in these values of to find if AB=AC. 

(4×14)(3×14+20)=(4×14)(5×14-8) 

Solve for LHS first, 

(4×14)(3×14+20) = 56×62 

=3472 

Solve for RHS next, 

(4×14)(5×14-8) = 56×62

=3472

Since LHS=RHS, AB is also equal to AC. 

Hope I helped :) 
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A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the t
fredd [130]

Answer:

d x 15=total players.

Step-by-step explanation:

dx15=total number of players in the tournament.

6 0
3 years ago
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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
Find the y intercept​
erica [24]

Step-by-step explanation:

Slope of line ST = Slope of line PQ = -3.

y = -3x + c

When x = 3, y = -1

=> (-1) = -3(3) + c, c = 8

Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.

7 0
3 years ago
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Can you work these out?<br> 0.6x100<br> 0.15x100<br> 3.7x100<br> 0.8x100<br> 0.07x100
Monica [59]

Step-by-step explanation:

0.6 \times 100   = 60 \\ 0.15 \times 100  = 15 \\ 3.7 \times 100  = 370 \\ 0.8 \times 100  = 80 \\ 0.07 \times 100  = 7

6 0
3 years ago
&amp;
Ray Of Light [21]

Answer:

3x+2y+4=27

Step-by-step explanation:

Let

x ----> represents the number of 3-point field goals

y ----> represents the number of 2-point field goals

we know that

The number of 3-point field goals multiplied by 3 plus the number of 2-point field goals multiplied by 2 plus the number of free throws (4) multiplied by 1, must be equal to 27 points

so

The equation that represent this situation is

3x+2y+4=27

5 0
3 years ago
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