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iren [92.7K]
3 years ago
9

If two angles of measure (x + 3)º and (2x – 9)º

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Step-by-step explanation:

(X+3)(2x_9)

3x+12_12=90_12

3x=90_12

3x=78

X=26°

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Through: (-2, -1), slope = -1
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In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p
Alenkinab [10]

Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is  \frac{23}{30} or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

Number of students who plays basket ball = 19

Number of students who plays base ball = 12

Number of students who plays base both the games = 8

To find:

Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

P(A \cup B)=P(A)+P(B)-P(A \cap B)---------------(1)

where

P(A) = Probability of choosing  a student playing basket ball

P(B) =  Probability of choosing  a student playing base ball

P(A \cap B) =  Probability of choosing  a student playing both the games

<u>Finding  P(A)</u>

P(A) = \frac{\text { Number of students playing basket ball }}{\text{Total number of students}}

P(A) = \frac{19}{30}--------------------------(2)

<u>Finding  P(B)</u>

P(B) = \frac{\text { Number of students playing baseball }}{\text{Total number of students}}

P(B) = \frac{12}{30}---------------------------(3)

<u>Finding P(A \cap B)</u>

P(A) = \frac{\text { Number of students playing both games }}{\text{Total number of students}}

P(A) = \frac{8}{30}-----------------------------(4)

Now substituting (2), (3) , (4) in (1), we get

P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}

P(A \cup B)= \frac{31}{30} -\frac{8}{30}

P(A \cup B)= \frac{23}{30}

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Answer:

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Step-by-step explanation:

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Can someone please help me: Slove 17+3(z-2)-11z=-7(z+2)+14
gayaneshka [121]

Answer:

z = 11

Step-by-step explanation:

Simplifying

17 + 3(z + -2) + -11z = -7(z + 2) + 14

Reorder the terms:

17 + 3(-2 + z) + -11z = -7(z + 2) + 14

17 + (-2 * 3 + z * 3) + -11z = -7(z + 2) + 14

17 + (-6 + 3z) + -11z = -7(z + 2) + 14

Combine like terms: 17 + -6 = 11

11 + 3z + -11z = -7(z + 2) + 14

Combine like terms: 3z + -11z = -8z

11 + -8z = -7(z + 2) + 14

Reorder the terms:

11 + -8z = -7(2 + z) + 14

11 + -8z = (2 * -7 + z * -7) + 14

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Reorder the terms:

11 + -8z = -14 + 14 + -7z

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11 + -8z = 0 + -7z

11 + -8z = -7z

Solving

11 + -8z = -7z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '7z' to each side of the equation.

11 + -8z + 7z = -7z + 7z

Combine like terms: -8z + 7z = -1z

11 + -1z = -7z + 7z

Combine like terms: -7z + 7z = 0

11 + -1z = 0

Add '-11' to each side of the equation.

11 + -11 + -1z = 0 + -11

Combine like terms: 11 + -11 = 0

0 + -1z = 0 + -11

-1z = 0 + -11

Combine like terms: 0 + -11 = -11

-1z = -11

Divide each side by '-1'.

z = 11

Simplifying

z = 11

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