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3 years ago

10

Mathematics

1 answer:

motikmotik3 years ago

5 0

9514 1404 393

Answer:

The are congruent.
They are non-adjacent.

Step-by-step explanation:

Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are alternate exterior angles.

Alternate exterior angles are congruent.

The share a side (the transversal, but not a vertex. So they are non-adjacent.

_____

Additional comment

In this geometry, corresponding angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.

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Vicky drew a scale drawing of a city. She used the scale 1 inch : 2 yards. If the actual width of a neighborhood park is 62 yard

klemol [59]

Answer:

The park is 31 inches wide in the drawing.

Step-by-step explanation:

Given:

Vicky drew a scale drawing of a city. She used the scale 1 inch : 2 yards.

The actual width of a neighborhood park is 62 yards.

Now, to find the width of park in drawing.

Let the width of park in drawing be $x.$

The scale drawing of the city is 1 inch : 2 yards.

So, 1 inch is equivalent to 2 yards.

Thus, $x$ is equivalent to 62 yards.

Now, to get the width of park in drawing by using cross multiplication method:

$\frac{1}{2} =\frac{x}{62}$

By cross multiplying we get:

$62=2x$

Dividing both sides by 2 we get:

$31=x$

$x=31\ inches.$

Therefore, the park is 31 inches wide in the drawing.

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3 years ago

backyard garden rectangular in shape. determine the best length and width(in feet). how many feet of fencing would be needed? us

olga2289 [7]

L = building side
W = non-building side

P = 2W + L = 42 (note only one L because the other L is the building itself)

Solve for L:

L = 42 - 2W

Area = l*w
Area = (42-2W)W = 42W - 2W2

Let area be y, so y = -2W2 +42W

Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.

Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0

a = -2
b = 42

W = -42/(2*-2) = -42/-4 = 10.5

W = 10.5
L = 42-2(10.5) = 42-21 = 21

Area = L*W = 21 * 10.5

A = 220.5 ft2

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Gnesinka [82]

4.66

37.28$ / (divided by) 8 = 4.66

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3 years ago

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matrenka [14]

Answer:

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Step-by-step explanation:

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DanielleElmas [232]

Answer:

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