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vitfil [10]
3 years ago
13

Hey guys I need help on maths. ​

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

x=122°

Step-by-step explanation:

sum of all interior angles in a quadrilateral = 360°

then ,

119+105+78+m = 360

m = 58

....

m+ x = 180 ( linear pair)

58+x = 180

x = 122

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There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Hart
tatuchka [14]

Answer:

The answer is a). 5/24.

Step-by-step explanation:

For the seventh graders there are 4 Boys + 2 Girls which totals 6 students.

  • The probability that a girl will be picked from the <em>seventh graders is 2/6</em>

For the eighth graders, there are 3 Boys + 5 Girls which totals 8 students

  • The probability that a girl will be picked from the <em>eighth graders is 5/8</em>

To find the<u> probability that both are girls</u>, we multiply the two fractions together:

  • 2/6 * 5/8 = 5/24
7 0
3 years ago
Let Z={a,c,{a,b}}. What is |Z|?
Lina20 [59]

Z=\{a,c,\{a,b\}\}

\boxed{|Z|=3} (treat \{a,b\} as one element of Z)

The power set of Z is

\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}

1. \{a,c\}\subseteq Z is true because both a\in Z and c\in Z.

2. a\in Z is true.

3. \{c\}\subseteq Z is true (same reason as part 1).

4. \{c\}\in Z is false because Z does not contain the set \{c\}, rather just the element c itself.

5. b\in Z is false because the element b on its own simply is not in Z. That b\in\{a,b\} does not mean b\in Z, but that b belongs to a subset of Z.

6. \{a,b\}\in Z is true.

6 0
4 years ago
Identify the rule for each pattern.
Angelina_Jolie [31]

Answer:

ar some point pattern A will have the same numbers as pattern B as it moves along like if you add 3 for 2 more times in pattern A it will have 24 and so on..

3 0
3 years ago
Which of the following is an equation of the line through (2,3) and (-1,-12)
ahrayia [7]

Answer:

y = 5x - 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

-15/-3 = y - 3 /x - 2

Cross multiply

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-15x + 30 + 3y - 9 = 0

-15x +30 - 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x - 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x - 21 / 3

We can still separate

y = 15x / 3 - 21/3

y = 5x - 7

Therefore, the equation of the line is

y = 5x - 7

6 0
3 years ago
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