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Aleks04 [339]
3 years ago
7

Question 13 (5 points) m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

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-8x-27=-7\left(1+2x\right)+2x
Darina [25.2K]

Answer:

x=5

Step-by-step explanation:

-8x-27=-7\left(1+2x\right)+2x

Expand:

-8x-27=-7\times 1-7\times 2x+2x

-8x-27=-7-12x

Add 27 to both sides:

-8x-27+27=-7-12x+27

-8x=-12x+20

Add 12x to both sides:

-8x+12x=-12x+20+12x

4x=20

Divide both sides by 4:

\frac{4x}{4}=\frac{20}{4}

x=5

5 0
3 years ago
Write a ratio comparing the amount of palm kernel oil 66 grams to rose hydrosol 110 grams write as a fraction then simplify
Basile [38]
\frac{66}{110}=\frac{3}{5}


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3 years ago
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.Which statements about the function are true? Select thre
sertanlavr [38]

The statements about the function that are true are

  • The vertex of the function is at (–3,–16).
  • The graph is increasing on the interval x > –3.
  • The graph is positive only on the intervals where x < –7 and where x > 1.

<h3>How to interpret the graph?</h3>

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

brainly.com/question/14933288

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7 0
1 year ago
Please help I’m in class rn
4vir4ik [10]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How to solve it? what are the steps I have to take to solve it?
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8 0
4 years ago
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