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Flura [38]
3 years ago
12

Find the measure of each angle

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0
Let's solve this problem step-by-step.

To begin with, it is important to establish the following formula:

Angle sum of all triangles = 180°

Using this formula as well as the values of two out of three of the angles given, we can identify the value of the unknown angle as displayed as the following:

Let the unknown angle = x

Make (x) the subject as displayed as the following:

Angle sum of all triangles = 180°
180 = x + 63 + 59
x = 180 - 63 - 59
x = 58°

Therefore, the measure of each of the angles is as follows:

63°
59°
58°
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Solve y=f(x) for x . f(x)=23x+4 x= Question 2 Find the input when the output is 2. The input is .
Fantom [35]

Let's find f(x) = 2, which is essentially what the problem is asking, what x corresponds to an output of 2.


Let's solve below:

f(x) = 2

  • Setting up what we know

23x + 4 = 2

  • Substituting in 23x + 4 for f(x) (I'm not sure if this is the correct expression for f(x) due to formatting issues)

23x = -2

  • Subtract 4 from both sides to make a step to isolate x (what we are trying to find)

x = - \frac{2}{23}

  • Divide both sides of the equation by 23 to isolate x

Thus the input is \boxed{x = - \frac{2}{23}}.

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3 years ago
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BartSMP [9]

Answer:

x = - 2 or x = 5

Step-by-step explanation:

Given

3x² - 9x - 30 = 0 ← in standard form

Divide all terms by 3

x² - 3x - 10 = 0

To factor the quadratic

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)

The factors are - 5 and + 2, since

- 5 × 2 = - 10 and - 5 + 2 = - 3, thus

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

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3 years ago
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Alinara [238K]

Answer: x = 6

Step-by-step explanation:

X - (-4) = 10

X + 4 = 10

X = 10 - 4 = 6

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4 years ago
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Mr. peter travels 130 miles in 2 hours. at this rate, how many miles will he travel in 30 minutes?
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