Solve the equation -6+3×=-9

Answers

Answer 1
Answer: -6 + 3x = -9

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And 6 to both sides:
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3x = -3

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Divide by 3 on both sides:
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x = -1

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Answer: x = -1
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A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?A:
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B)
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D)
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Answers

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4

Lines v and w are parallel. Which statement can you NOT deduce from this information?m∠2+m∠5=180
m∠3+m∠8=180
∠4-∠7
∠1=∠8

Answers

Based on the rules for vertical angles, ∠1 = ∠4, and ∠5 = ∠8. Based on the rules for corresponding angles, ∠1 = ∠5, so all four of those angles are equivalent.
Similarly, 
∠2 = ∠3 = ∠6 = ∠7.
Since 
∠2 = ∠6, and ∠5 + ∠6 = 180 degrees, then the first statement is true.
The second statement is also true since 
∠3 = ∠7, and ∠7 + ∠8 = 180.
The third statement is false, as it cannot be verified.
The fourth statement is true, as proven in the first part based on vertical and corresponding angles.

What is the name of our number system?

Answers

decimal system is the name of our number system.

Answer:

Our Number System is Hindu Arabic Number System.

The digits are: 0,1,2,3,4,5,6,7,8,9

If x3 = 8 and y3 = 125, what
is the value of y - x?

Answers

Answer:

X to power 3is=2 while y to power 3is=5so5-2=3

Step-by-step explanation:

x cubed is =8 so cube root of 8is 2

y cubed is =125so cube root of 125is 5

therefore 5-2=3

Need help with 5. Part C

Answers

Answer:

  BA = 12

Step-by-step explanation:

All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...

  hypotenuse/long-side = BC/BA = BA/BD

Cross multiplying gives ...

  BA² = BC·BD

  BA = √(BC·BD) = √(16·9)

  BA = 12

In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.

Answers

Answer:

Two legs are 7.0534230 and 9.708203932.

The acute angle is 54 degrees.

Step-by-step explanation:

For the legs, you can use these two formulas:

12*cos(36)

12*sin(36)

(Make sure you put the 36 in degrees)

For the acute angle, 90-54=36 degrees.

Answer:

The answer to your question is:

acute angle = 54°

legs 7 m y 9.7 m

Step-by-step explanation:

Data

Hypotenuse = 12 m

acute angle = 36°  = a

acute angle 2 = ?  = b

lengths of legs= ?

Process

The sum of the internal angles on a triangle equals 180°

                     a + b + 90 = 180

                    36 + b + 90 = 180

                    b = 180 - 126

                    b = 54°

sin Ф = opposite leg / hypotenuse

opposite leg = hypotenuse x sin Ф

opposite leg =  12 x sin 36

opposite leg = 7 m

Pythagorean theorem                

                                      c² = a² + b²

                                      a² = c² - b²

                                     a² = 12² - 7²

                                     a² = 144 - 49

                                     a ² = 95

                                     a = 9.7 m

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