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DanielleElmas [232]
3 years ago
9

22.5+7(n-34) simplified

Mathematics
1 answer:
Aneli [31]3 years ago
7 0
22.5 + 7n - 238 \\ 7n - 215.5
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Write the equation of a line with slope 3 and y-intercept −3.
natta225 [31]
The equation would be y = 3x-3




4 0
3 years ago
Read 2 more answers
(4x+5) (3x+1) -3 (x+1)<br>​
ollegr [7]

Answer:

-36x^3 - 69x^2 - 34x - 5

Step-by-step explanation:

(4x + 5) (3x + 1) -3 (x + 1)

(4x + 5) (3x + 1) ( -3x - 1)

12x^2 + 4x + 15x +5

Combine like terms

12x^2 + 19x + 5 (-3x - 1)

-36x^3 -57x^2 - 15x^2 -5

Combine like terms

-36x^3 - 69x^2 - 34x - 5

4 0
2 years ago
Which statements are always true regarding the diagram? Check all that apply. m∠3 + m∠4 = 180° m∠2 + m∠4 + m∠6 = 180° m∠2 + m∠4
Nostrana [21]

Answer:

The true statements are:

m∠ 3 + m∠ 4 = 180° ⇒ 1st

m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ 2nd

m∠ 2 + m∠ 4 = m∠ 5 ⇒ 3rd

Step-by-step explanation:

* Look to the attached diagram to answer the question

# m∠ 3 + m∠ 4 = 180°

∵ ∠ 3 and ∠ 4 formed a straight angle

∵ The measure of the straight angle is 180°

∴ m∠ 3 + m∠ 4 = 180° ⇒ <em>true</em>

# m∠ 2 + m∠ 4 + m∠ 6 = 180°

∵ ∠ 2 , ∠ 4 , ∠ 6 are the interior angles of the triangle

∵ The sum of the measures of interior angles of any Δ is 180°

∴ m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ <em>true</em>

# m∠ 2 + m∠ 4 = m∠ 5

∵ In any Δ, the measure of the exterior angle at one vertex of the

  triangle equals the sum of the measures of the opposite interior

  angles of this vertex

∵ ∠ 5 is the exterior angle of the vertex of ∠ 6

∵ ∠2 and ∠ 4 are the opposite interior angles to ∠ 6

∴ m∠ 2 + m∠ 4 = m∠ 5 ⇒ <em>true </em>

# m∠1 + m∠2 = 90°

∵ ∠ 1 and ∠ 2 formed a straight angle

∵ The measure of the straight angle is 180°

∴ m∠1 + m∠2 = 90° ⇒ <em>Not true</em>

# m∠4 + m∠6 = m∠2

∵ ∠ 4 , ∠ 6 , ∠ 2 are the interior angles of a triangle

∵ There is no given about their measures

∴ We can not says that the sum of the measures of ∠ 4 and ∠ 6 is

  equal to the measure of ∠ 2

∴ m∠4 + m∠6 = m∠2 ⇒ <em>Not true</em>

<em></em>

# m∠2 + m∠6 = m∠5

∵ ∠ 5 is the exterior angle at the vertex of ∠ 6

∴ m∠ 2 + m∠ 6 = m∠ 5 ⇒ <em>Not true</em>

6 0
3 years ago
Read 2 more answers
How do you make 2/5 a percent??
Yakvenalex [24]
Divide 2 by 5.
you get .4
to make a number a percent, you shift the decimal two placed to the right.
so 2/5=.4=40%
4 0
3 years ago
What is the value of X if 9^x^-^1-2=25?
nadezda [96]

Answer:

\frac{5}{2}

Step-by-step explanation:

First, add two to both sides to get 9^{x-1}=27

There are two ways to solve this from here

  1. Think about what power you would have to raise 9 to to get to 27. 9^{\frac{1}{2}} = 3 and 3^3=27. So, multiplying the powers (because it is a power to a power) you get 9^{\frac{3}{2}}=27. This means that x - 1 = \frac{3}{2} or x = \frac{5}{2}.
  2. Take the log of both sides.

This gives us \log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x

4 0
3 years ago
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