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Misha Larkins [42]
3 years ago
8

How many different triangles can you make if you are given these three lengths for sides? 17cm, 23cm, and 13cm.

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

1 triangle can be formed

Step-by-step explanation:

We are given three side lengths, which are 17cm, 23cm, and 13cm. So, we can form the triangle when;

17 + 23 > 13

17 + 13 > 23

23 + 13 > 17

Since the above conditions are met, then we can form one triangle.

Now, each next triangle with the same sides lengths will be congruent to the first triangle by SSS postulate.

SSS postulate states that: If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Thus, only 1 triangle can be formed.

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Find the coordinates of G if F(2,5) is the midpoint of line GJ and J and has coordinates (-2,8)
dimulka [17.4K]

Answer:

G(6,2)

Step-by-step explanation:

If point F(x_F,y_F) is the midpoint of the segment GJ, where G(x_G,y_G) and J(x_J,y_J), then

x_F=\dfrac{x_G+x_J}{2},\\ \\y_F=\dfrac{y_G+y_J}{2}.

In your case,

F(2,5),\ J(-2,8),

therefore,

2=\dfrac{x_G+(-2)}{2},\\ \\5=\dfrac{y_G+8}{2}.

Thus,

x_G-2=4\Rightarrow x_G=6,\\ \\y_G+8=10\Rightarrow y_G=2.

4 0
3 years ago
Log3+logx=5/2<br>find x​
Naya [18.7K]

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb= x , then b = a^x

In this case;

log 3x = 2.5

we get , 3x = 10^2.5

That is , 3 x = 316.227

                x = 105.4

Thus, the value of x is 105.4

3 0
3 years ago
Pls help me ill try to give brainliest
Amanda [17]

Answer:

x = 20°

Step-by-step explanation:

by angle sum property of triangle

30 + 130 + x = 180

x = 180 - 160

<h2>x = 20°</h2>
7 0
3 years ago
It is estimated that one third of the general population has blood type A A sample of six people is selected at random. What is
Feliz [49]

Answer: 0.2195

Step-by-step explanation:

Binomial distribution formula :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : The probability of that the general population has blood type A = \dfrac{1}{3}

Sample size : n=6

Now, the probability that exactly three of them have blood type A is given by :-

P(3)=^6C_3(\dfrac{1}{3})^3(1-\dfrac{1}{3})^{6-3}\\\\=\dfrac{6!}{3!3!}(\dfrac{1}{3})^3(\dfrac{2}{3})^{3}\\\\=0.219478737997\approx0.2195

Therefore, the probability that exactly three of them have blood type A = 0.2195

3 0
3 years ago
What is the exact value that is 59% of 2302?
serg [7]
59% of 2302....turn the percent to a decimal...." of " means multiply
0.59(2302) = 1358.18 <==
3 0
3 years ago
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