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liubo4ka [24]
4 years ago
10

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 a

nd 5. A larger triangle has side lengths of 9 and x + 1.
Mathematics
1 answer:
Ainat [17]4 years ago
3 0

Answer:

x = 14

Step-by-step explanation:

As the triangle was dilated, all its sides increased by the same ratio.

So, as one side was 3 and then increased to 9, the ratio is:

ratio = 9 / 3 = 3

So, using this same ratio for the other side given, we can find the value of x.

The larger side of length x+1 is 3 times greater than the small side of length 5:

x + 1 = 3 * 5

x + 1 = 15

x = 14

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A bag contains 5 blue marbles 6 red marbles and 9 green marbles two marbles are drawn at random one at a time and without replac
yarga [219]
Sample space={5 B + 6 R + 9 G} = 20 (all possible outcomes
Favorable outcome ={6 R} = 6

P(1st Drawing R) = 6/20 = 3/10
Once drawn and not replaced the total remaining marble = 19 and within the 19, there are 5 Red left. So
P(2nd Drawing R) = 5/19 

P( 1st AND 2nd R) = (3/10)x(5/19) = 3/38 = 0.0789


5 0
3 years ago
Read 2 more answers
Actividad 1.1<br />Investigue sobre el tema de diferenciabilidad en un punto para encontrar los valores de "a" y "b" tales
Olegator [25]

Answer:

a = 8

b = -8

Step-by-step explanation:

You have the following function:

f(x)\\\\=at+b;\ \ t

A function is differentiable at a point c, if the derivative of the function in such a point exists. That is, f'(c) exists.

In this case, you need that the function is differentiable for t=2, then, you have:

f'(t)=a;\ \ \ \ t

If the derivative exists for t=2, it is necessary that the previous derivatives are equal:

f'(2)=a=4(2)\\\\a=8

Furthermore it is necessary that for t=2, both parts of the function are equal:

8(2)+b=2(2)^2-1\\\\16+b=8-1\\\\b=-8

Then, a  = 8, b = -8

8 0
3 years ago
Which equation represents a nonlinear function?
Grace [21]

Answer:

B and C

Step-by-step explanation:

Linear functions are written in the format y=mx+b

If a function has an exponent it is nonlinear

6 0
3 years ago
Which of the following is equivalent to 0 equals 3 x squared minus 12 x minus 15 when completing the square?
skad [1K]
Answer:

x = 5, -1

Step-by-step explanation:

0 = 3x^2 - 12x - 15 or

3x^2 - 12x - 15 = 0

By solving for x, use the Quadratic Formula.

… x = 5 and/or -1
8 0
3 years ago
Find the slope trough (-22,3) and (11,-3)
velikii [3]

Answer:

The slope is -\frac{2}{11}

Step-by-step explanation:

Let (x_1,y_1)=(-22,3) and (x_2,y_2)=(11,-3)

The slope is given by;

m=\frac{y_2-y_1}{x_2-x_1}

We plug in the values to get;

m=\frac{-3-3}{11--22}

Simplify;

m=\frac{-6}{33}

m=-\frac{2}{11}

6 0
4 years ago
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