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3 years ago

The triangles are similar, find y

Mathematics

1 answer:

Luda [366]3 years ago

3 0

Answer:

y = 3.6

x = 3.5

Step-by-step explanation:

The triangles are similar.

$\frac{3}{2.4} = \frac{x}{2.8} = \frac{4.5}{y}$

Find y:

$\frac{4.5}{y} = \frac{5}{4}$

$4.5 * 4 = 5y => 18 = 5y => y = 3.6$

Find x:

$\frac{x}{2.8} = \frac{5}{4}$

$2.8 * 5 = 4x => 14 = 4x => x = 3.5$

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A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.

kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is y=3x−13

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x=2

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3 years ago

Pls help i dont care how u do it jast pls help me

Airida [17]

Answer:

1. 35 boys and 28 girls

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3. 40 total outfits

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Ratio of Boys to Girls is 5 is to 4, that means that there are "5" parts boys and "4" parts girls. So that makes:

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63/9 = 7 kids per part

Now,

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and

4 parts are girls so 4 * 7 = 28 girls

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Total is 70

So, we basically need 60% of 70

First, we want to convert 60% to decimal. We divide by 100, that's it! So:

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4;6
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