Choose the equation that could be used to find three consecutive integers whose sum is 36.n + (n + 2) + (n + 4) = 36

n + (n + 1) + (n + 3) = 36

n + (n + 1) + (n + 2) = 36

n + (n − 1) + (n − 3) = 36

Answer:

Step-by-step explanation:

By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property

(6x)° + 90° + (x+6)° = 180°

To solve for x, first combine the terms to get (7x + 96) = 180°

Using the Subtraction property of equality,

7x = 84.

Then using the division property of equality x = 12.

To find the measure of angle A,

Use the subtraction property to get m∠A = 6(12)°.

Finally simplifying the expression gets m∠A = 72°.

The solution of expression are,

⇒ d = 11/4

We have to given that,

An expression to solve,

⇒ 15 = 5 + 4 (2d - 3)

We can simplify as,

⇒ 15 = 5 + 4 (2d - 3)

⇒ 15 = 5 + 8d - 12

⇒ 15 - 5 + 12 = 8d

⇒ 10 + 12 = 8d

⇒ 8d = 22

⇒ d = 22/8

⇒ d = 11/4

Thus, The solution of expression are,

⇒ d = 11/4

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Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.