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Evgesh-ka [11]
3 years ago
11

Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is

5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Mathematics
2 answers:
balandron [24]3 years ago
7 0

Answer:

∠3 is an adjacent interior angle to exterior ∠4.

∠1 and ∠5 are supplementary angles.

∠2 is a remote interior angle to both exterior angles 4 and

Since ∠5 and ∠1 form a linear pair, that makes them Supplementary Angles.

Step-by-step explanation:

Greeley [361]3 years ago
5 0

Answer:

✔ 360°

Identify the following angle measures.

m∠2 = ✔ 60

m∠4 = ✔ 150

m∠6 = ✔ 90

Step-by-step explanation:

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Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

  • (4, -3)
  • (0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

\implies -3=m(4)-2

\implies -1=4m

\implies m=-\dfrac{1}{4}

Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

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Answer: y = 1/2x - 7

<u>Data</u>

Point = (-4, -9)

slope = m = 1/2

<u>Process</u>

To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.

<u>Equation</u>

 y - y1 = m (x - x1)

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<u>Substitution</u>

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<u>Simplification</u>

 y + 9 = 1/2x + 4/2

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<u>Answer</u>

y = 1/2x - 7

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