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m_a_m_a [10]
2 years ago
6

Jane needs to solve for the value of n in the equation 10 n = 150. Which of these steps would BEST help Jane solve the equation?

Mathematics
1 answer:
Hoochie [10]2 years ago
8 0

Answer:

n = 15

Step-by-step explanation:

10 x 15 = 150.

<em>Hope this helps!</em>

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Gemiola [76]

The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

Prove \ x = \dfrac{62}{9}

Statement                   {} Reason

S1. 9·(x + 6) - 41 = 75   {}  R1. <u>Given</u>

S2. 9·(x + 6)  =  116        {}R2. <u>Addition property</u>

S3. <u>9·x + 54 = 116 </u>         {}R3. Distributive property

S4. 9·x = 62                   {}R4. <u>Subtraction property</u>

S5. x = \dfrac{62}{9}                     {} R5. <u>Division property of equality</u>

Question 2.

Statement                                     {}        Reason

S1. m∠A + m∠B = m∠D   {}                     R1.  Given

S2. ∠C and ∠D form a Linear Pair   {}   R2. Definition of linear pair

S3. ∠C and ∠D are supplementary   {}R3. <u>Linear pair ∠s are supplementary</u>

S4. <u>∠C + ∠D = 180° </u>  {}                           R4. Definition of supplementary

S5. m∠C + m∠A + m∠B = 180°   {}         R5. <u>Substitution property</u>

Question 3.

Statement                                     {} Reason

S1. ∠BDA ≅ ∠A                             {} R1. Given

S2. ∠BDA ≅ ∠CDE                      {}  R2. <u>Vertical angle theorem</u>

S3. ∠CDE ≅ ∠A                      {}       R3. Transitive property of congruency

S4. m∠CDE = m∠A                    {}   R4. <u>Definition of congruency</u>

S5. <u>(13·x + 20)° = (14·x + 15)°</u>      {}   R5. Substitution Property of Equality

S6. 14·x° = 13·x + 5°                       {}R6. <u>Subtraction property</u>

S7. x = 5                      {}                  R7. Subtraction property

Learn more here:

brainly.com/question/11331230

6 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
Sergio [31]
Answer: The maximum profit that can make by the company is $461. x= Number of widget. The profit of the company will maximum only when if they sell widget.
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3 years ago
Part of a shape is drawn.
frosja888 [35]

Answer:

The points of the rotated shape are: (4, 1), (5, 3), (4, 4), (2, 1), (1, 3), (2, 4)

Step-by-step explanation:

From the part of the shape we can see and the symmetry, the missing points are:

(-2, -1)

(-1, -3)

(-2, -4)

Rotation 180° about the origin transforms the point (x, y) into (-x, -y). Applying this rule to our figure, we get:

(-4, -1) -> (4, 1)

(-5, -3) -> (5, 3)

(-4, -4) -> (4, 4)

(-2, -1) -> (2, 1)

(-1, -3) -> (1, 3)

(-2, -4) -> (2, 4)

6 0
3 years ago
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Naddik [55]

Answer:

26.3158 percent chance fraction is 500/19

Step-by-step explanation:

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fraction is 500/19

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2 years ago
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tatuchka [14]

Answer:

A. the area of the large pond is 16 times the area of the small pond

Step-by-step explanation:

let's say 4 is the radius of the small circle, which means the area is 50.26548

if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772

so if you divide the big circle area by the small circle area:

804.24772/50.26548

it gives you 16.00000079577 which is rounded to 16

therefore, the bigger circle is 16 times bigger than the smaller circle

4 0
3 years ago
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