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kipiarov [429]
2 years ago
15

When m and I are cut by transversal n. if m<3=67° , determine m<6.​

Mathematics
1 answer:
marshall27 [118]2 years ago
3 0

Answer:

  • 113°

Step-by-step explanation:

Angles 3 and 6 are consecutive interior angles

<u>As per definition, consecutive internal angles add to 180°</u>

  • m∠3 = 67° ⇒
  • m∠6 = 180° - 67° = 113°
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[No links please and explain it out.♡︎]
Sholpan [36]

Answer:

y = mx+b

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since you have the slope and a point you can find here the line crosses the y-axis

y = -1/2x + b

the point (-14, 6) can be substituted into the eq for x and y

(6) = -1/2(-14)+b

6 = 7 +b     (subtract 7 from both sides)

-1 = b

The line crosses the y-axis at -1

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3 years ago
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Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide. If the reduced diagram
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10 : 30
4: x [x is the length]
10/4=2.5
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3 years ago
The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and
Agata [3.3K]
<span>First. <u>Finding the x-intercepts of </u>W(x)
</span><span>
Let W(x) be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}

We use the Trial-and-Error Method which states that a factor of the constant term:

a_{0}

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

W(x)=x^{4}-x^{3}-7x^{2}+x+6

where the constant term is a_{0}=6. The possible zeros are the factors of this term, that is:

1, -1, 2, -2, 3, -3, 6 \ and \ -6.

Thus:

</span>W(1)=0 \\ W(-1)=0 \\ W(2)=-12 \\ W(-2)=0 \\ W(3)=0 \\ W(-3)=48 \\ W(6)=840 \\ W(-6)=1260<span>

From the foregoing, we can affirm that 1, -1, -2 \ and \ 3 are zeros of the polynomial.

</span>Second. <u>Construction a rough graph of</u> W(x)

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

[-2,-1]

and compute W(c) where c is a real number between -2 and -1. If W(c)>0, the curve start rising, if not, the curve start falling. For instance:

If \ c=-\frac{3}{2} \\ \\ then \ w(-\frac{3}{2})=-2.81

Therefore the curve start falling and it goes up and down until x=3 and from this point it rises without a bound as shown in the figure below


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3 years ago
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This is an angle whose measure is exactly 90°
Radda [10]

Answer:

A right angle

Step-by-step explanation:

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Which of the following is not a Pythagorean triple?
Ierofanga [76]

Answer:

  (7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

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<em>Additional comment</em>

For an odd integer n, a triple can be formed as ...

  (n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

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Another series involves even numbers and numbers separated by 2:

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In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

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