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3 years ago

What is the triangle sum Theorem ?

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

Answer:

The sum of the interior angles of any triangle is equal to 180 degrees.

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Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co

anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5

8 0

3 years ago

40 is 50 percent of which number

FinnZ [79.3K]

Answer:

Step-by-step explanation:

80 divided by 1/2 = 40 therefore 40 is 50% of 80

4 0

3 years ago

P=2L+2W solve for L do the entire equation

VashaNatasha [74]

$HEY THEIR!!$

Taking commen 2 in RHS
p = 2 (L+W )

Divide by 2 on both sides.
p/2 = L+W

Subtract W on both sides.
p/2 - W = L

or L = p/2- W

HOPE IT HELPS YOU

6 0

3 years ago

The curve with equation y = f ( x ) is stretched so that the point (-3,-5) moves to the point (-3,-10). State in terms of f ( x

Leviafan [203]

Answer:

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

Step-by-step explanation:

Let be $f(x)$ and $g(x)$ continuous functions in x. In this case, the stretch factor consist on multiplying $f(x)$ by a scalar factor, so that:

$g(x) = k \cdot f(x)$ , $\forall\, k\in \mathbb{R}, k \neq 0$

The stretch factor is:

$k = \frac{g(x)}{f(x)}$ , $\forall\, x \in \mathbb{R}$

If $f(-3) = -5$ and $g(-3) = -10$ , then:

$k = \frac{g(-3)}{f(-3)}$

$k = \frac{-10}{-5}$

$k = 2$

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

5 0

4 years ago

What's the final price? sweater: $14.99 discount: 12% tax: 6.25%

bogdanovich [222]

14.99*.12=1.80
14.99-1.8=13.19
13.19*.0625=.94
13.19+.94=14.13
final price 14.13

6 0

3 years ago