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4 years ago

Directions: Use the image to help you answer the questions in the portfolio.

Mathematics

1 answer:

Ulleksa [173]4 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

Part A.

1. Angle 1 and angle with degree measure of 48° are vertical angles (opposite when two lines intersect). Vertical angles are congruent, so angle 1 has measure of 48°.

2. Angles 1 and 2 are same-side interior angles, they add up to 180°, so

m∠2=180°-m∠1=180°-48°=132°

3. Angles 2 and 3 are alternate exterior angles, they are congruent, so

m∠3=132°

Part B. If Elm Street is perpendicular to Main Street and is also perpendicular to Oak Street, then Main street and Oak Street are parallel.

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The two intervals (114.9, 115.7) and (114.6, 116.0) are confidence intervals (computed using the same sample data) for μ = true

kenny6666 [7]

Answer:

115.3 hertz

Step-by-step explanation:

For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.

For the first interval:

$M=\frac{114.9 + 115.7}{2} \\M=115.3\ hertz$

For the second interval:

$M=\frac{114.6 + 116.0}{2} \\M=115.3\ hertz$

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3 years ago

Whats ,, 5x-2x-7y+8x+y= ???

Effectus [21]

Answer:

$11x - 6y$

<h2>Hope it helps you!!</h2>

7 0

3 years ago

EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for

inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

$(x_1,y_1) = (\frac{1}{2},4)$

$(x_2,y_2) = (\frac{2}{3},1)$

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}$

$m =-\frac{ 3}{\frac{1}{6}}$

$m = -3/\frac{1}{6}$

$m = -3 * 6$

$m = -18$

This is in contrast to $m = -\frac{1}{2}$ , calculated by Cody

Solving further to determine the equation.

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (\frac{1}{2},4)$

$m = -18$

$y - 4 = -18(x - \frac{1}{2})$

$y - 4 = -18x + 9$

Collect Like Terms

$y + 18x = 9 + 4$

$y + 18x = 13$

6 0

3 years ago

What is 15 didvide 7.35

zvonat [6]

Answer:

2.04081632653

Step-by-step explanation:

If you wanted to round it, it would be 2 because the 4 isn't enough to bump it up. Hope this helped you!

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3 years ago

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Zielflug [23.3K]

Answer:

translation, rotation

Step-by-step explanation:

A translation is sliding around or moving around/shifting so the first one is translation. A rotation is spinning it around to a different angle so the second is a rotation. Hope this helps!!

6 0

2 years ago