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3 years ago

Which ratios form a proportion?

Mathematics

2 answers:

ivanzaharov [21]3 years ago

5 0

The correct answer is: [C]: "12/16, 15/20" .
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zimovet [89]3 years ago

5 0

Answer:

The answer will result in the letter C)

Step-by-step explanation:

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Write an equation of the lines passes through (4,1) and is parallel to y= -2x+7

Nastasia [14]

Answer:

y = -2x + 9

Step-by-step explanation:

The parallel line has an equation of y = -2x + 7;

And its slope is -2.

The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.

Taking another point (x,y) on the line that passes through (4,1):

slope(m) = change in y ÷ change in x

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

Cross multiplying gives;

y - 1 = -2x + 8

y = -2x + 9

5 0

2 years ago

The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and thre

eimsori [14]

Answer:

See Explanation

Step-by-step explanation:

(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.

According to the question,

Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms.

Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:

All the fields and buildings fit on the provided lot.
Each field is adjacent to at least one building for ease of access.
Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field

8 0

2 years ago

Read 2 more answers

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$