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kherson [118]
3 years ago
9

The angles of a triangle are 128 degrees 5x + 10 degrees + 9x degrees what is the value of x

Mathematics
1 answer:
olganol [36]3 years ago
6 0
All the angles in a triangle equal 180 degrees so 128 + (5x+10) + 9x = 180

Group the like values to get 138 + 14x = 180

Subtract 138 from 180 to get 14x = 42

Divide 42 by 14 to get x = 3

Therefore x = 3
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How do you do the Pythagorean triple theory in math
Firdavs [7]
Pythagorean triples are integer solutions to the Pythagorean theorem a^2 + b^2 = c^2 I like triplets but triples seems to be the favored term for right triangle the x side is the hypotenuse the side opposite the right angle
hope this helps!
8 0
3 years ago
Solve for x. Enter the solutions from least to greatest.
shepuryov [24]

Answer:

Lesser = -7

Greater = 4

7 0
2 years ago
Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
3 years ago
g Suppose that a die is rolled twice. What are the possible values that thefollowing random variables can take on:(a) the maximu
KengaRu [80]

Answer:

(a) A = {1, 2, 3, 4, 5, 6}

(b) B = {1, 2, 3, 4, 5, 6}

(c) C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(d) D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

Step-by-step explanation:

Assume each roll can result in the numbers 1, 2, 3, 4, 5, or 6.

(a) If both rolls result in a 1, the maximum value is 1. If either roll results in a 6, the maximum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

A = {1, 2, 3, 4, 5, 6}

(b) If either roll results in a 1, the minimum value is 1. If both rolls result in a 6, the minimum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

B = {1, 2, 3, 4, 5, 6}

(c) If both rolls result in a 1, the sum is 2. If both rolls results in a 6, the sum is 12; all integers between 2 and 12 are also possible. Therefore, the possible values are:

C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(d) If the first roll results in a 1 and the second results in a 6, the result is -5. On the other hand, if the first roll results in a 6 and the second results in a 1, the result is 5; all integers between -5 and 5 are also possible. Therefore, the possible values are:

D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

7 0
3 years ago
10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o
Nimfa-mama [501]

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

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

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

8 0
3 years ago
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