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Olin [163]
3 years ago
5

For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and

horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

\frac{y}{2}=\frac{x}{1}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

\frac{y}{2}=\frac{x}{1}

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Please help i need this done
Ann [662]
3x - 2 = x + 1
2x = 3
x = 3/2
x = 1.5

3x - 2 = 3(1.5) - 2 = 2.5
or
x + 1 = 1.5 + 1 = 2.5

P = 4(2.5) = 10

perimeter of square is 10 cm so side of square = 2.5cm

3 0
3 years ago
Consider a family that generates 20 loads of laundry in a week. based on the data in the table, what is the total number of peop
liq [111]

The total number of people in the family that generates 20 loads of laundry in a week is 10.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of people and x represent the number of laundry loads.

From the table:

y = (1/2)x

For 20 loads:

y = (1/2) * 20 = 10

The total number of people in the family that generates 20 loads of laundry in a week is 10.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

5 0
1 year ago
Fine the area of the following polygons:
Papessa [141]

Answer:

1 . 24

2. 21

Step-by-step explanation:

1.

b=6

h=4

A= b*h

=6*4

=24

2. b=6

h= 7

A= 1/2*b*h

= 1/2*6*7

=21

3 0
2 years ago
Expand (a+b)^7 using pascal triangle
Inga [223]

(a+b)^7= a^7+ 7a^7b+ 21 a^6b²+ 35a^5b³+ 35 a⁴b⁴+ 21 a³b^5 + 7a²b^6 + b^7

8 0
3 years ago
Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi
ANEK [815]

Answer:

They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

5x+4y=38\ \ \ \ \ equation\ 1

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

4x+2y=28\ \ \ \ \ equation\2

Now multiplying equation 2 by '2', we get;

2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3

Now we subtract equation 1 from equation 3 and get;

(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6

Now substituting the value of 'x' in equation 1, we get;

5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2

Hence They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

8 0
3 years ago
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