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Reika [66]
3 years ago
12

The area of is 18 ft2, and the area of is 32 ft2. If , what is the ratio of LM to FG?

Mathematics
1 answer:
Natali [406]3 years ago
8 0
The area of is 18 ft2, and the area of is 32 ft2. If ,what is the ratio of is 32 ft2. If , what is the ratio of LM to FG?
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Find the distance between point P and line ℓ.
prisoha [69]

The distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

<h3>What is the distance between a line and a point?</h3>

The distance between the line ax +by +c =0 and the point (x₁, y₁) is given by:

d=\frac{|ax_{1}+by_{1}+c|}{\sqrt{a^2+b^2}}

Given that, the line passes through the points (0,-3) and (7,4).

The equation of the line is given by:

y -(-3)=\frac{4-(-3)}{7-0}(x-0)\\\\y+3=x\\\\x-y-3=0

Now, the distance between the line x - y - 3 = 0 and point (4,3) is:
d=\frac{|1\times4+(-1)\times3+(-3)|}{\sqrt{1^2 +(-1)^2}}\\\\d=\frac{2}{\sqrt{2}}\\\\d=\sqrt{2}

Hence, the distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

Learn more about the distance between a line and a point:
brainly.com/question/11558698

#SPJ1

4 0
1 year ago
1 Karl added 9. ice cubes to his ice tea. Each ice cube lowers the temperature of the tea by 2F.
JulsSmile [24]

Answer:

its 58 degreese F

Step-by-step explanation:

start with 9*2 and that equals 18 then you subtract 18 from 76 which equals 58. that is your answer 59 degrees F

5 0
3 years ago
BEST ANSWER EARNS BRAINLIEST!
Lady bird [3.3K]
Please mark brainliest 3 more to rankup.

so is how I would solve this is one corner at a time. Since these are all triangles you will solve the area of a corner and divide it by 2. Then you will have the area of a corner.

(7.5 x 5) /2= 18.75
(7.5 x 14) /2=52.5
Mirror this on the other side because they are the same on the other side and then add them all together

(18.75 x 2) + (52.5 x 2) = 142.5

Answer is A
142.5
3 0
3 years ago
Please help me with this sum​
Ilya [14]

Step-by-step explanation:

2667

1884

1953

782

2046

3105

8559

5368

963

3367

4 0
3 years ago
Read 2 more answers
Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)
xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

              $=\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinate.

$ \frac{m+h}{2}=\frac{x}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$\frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0
3 years ago
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