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Law Incorporation [45]
2 years ago
7

Triangle ABC is similar to triangle DEF.

Mathematics
1 answer:
Sav [38]2 years ago
7 0

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7


3/8 = 15/y

15*8=120

120/3= 40

y=40


orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7

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Please help explanation if possible
poizon [28]

Step-by-step explanation:

Hi there!

The given equation is:

y = -2x + 5………………(i)

Comparing the equation with y = mx+c, we get;

m1 = -2

Also another equation of the line which passes through point (-4,2), we get;

(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}

According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;

m1*m2 = -1

-2*m2 = -1

or, m2 = 1/2.

Therefore, m2= 1/2.

Now, keeping the value of m2 in equation (ii).

(y-2) = 1/2(x+4)

y = (1/2)x + 4

Therefore, the required equation is: y = (1/2)x + 4.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

3 0
2 years ago
Find the length of the leg of the right triangle leave your answer in simplest radical form
erastova [34]

Answer:

a =12*sqrt(2)

Step-by-step explanation:

3.  The Pythagorean theorem states

a^2 + b^2 = c^2  where a  and b are the legs and c is the hypotenuse

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

7 0
2 years ago
The x co-ordinate of any point lying on the Y axis is: please help urgent​
olchik [2.2K]

Answer:

x-coordinate = 0

Step-by-step explanation:

In a coordinate plan there are two perpendicular lines one is x-axis and another is y-axis

x-axis is a horizontal line and y-axis is a vertical line.

Both lines intersect each other at (0,0).

On x-axis, y-coordinate remains same , i.e., y=0.

On y-axis, x-coordinate remains same , i.e., x=0.

Therefore, the x co-ordinate of any point lying on the y axis is 0.

8 0
2 years ago
Simplify the expression:<br> 1+4(2x-3)
irina1246 [14]

Answer:

8x - 11

Step-by-step explanation:

?

just do the multiplications and add things up.

1 + 4(2x - 3) = 1 + 8x -12 = 8x - 11

6 0
3 years ago
Read 2 more answers
I need the answer for 57
wel
In order to do this, we have to 1st find the volume of each ball using the sphere volume formula: 4/3(pi)r^3

Baseball: 4/3(pi)(1.375in)^3
Soccer ball: 4/3(pi)(4.25in)^3

Calculate to get:

Baseball: about 10.89
Soccer ball: about 321.56

So subtract these 2 numbers:

321.56in^3 - 10.89in^3
= 310.67 in^3

So the difference in volume between these two objects would be 310.67 in^3
5 0
2 years ago
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