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3 years ago

5

If CDEF ≅ MNPQ, then EF≅ _____

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

Your answer would be PQ

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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

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

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

stock in company abc went from $26 a share to $14 what is the percent of change in the price of share of stock in the company

kondor19780726 [428]

Answer:

46.2% Decrease

Step-by-step explanation:

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3 years ago

the width of a rectangle is 2 units less than the length. the area of the rectangle is 63 units.what is the length, in units, of

Mice21 [21]

Answer: 9

Step-by-step explanation:

3 0

2 years ago

Can someone help me?<br><br> Brainlest for anyone who helps and explains<br><br> Thank you!!

Xelga [282]

The answer would be 10. Explanation: So basically you add the two complementary angles and set it equal to the whole thing. So it would look like 4x+46=7x+16. Then, you have to solve for x. To do that, subtract the 4x from both sides and the 16 from both sides. That will leave you with 3x=30. Then, divide by 3, and you get an answer of 10. Hope that helped :)

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3 years ago

I need some help.. fraction: {5⁷}{5²}

Anvisha [2.4K]

Step-by-step explanation:

$\dfrac{5^7}{5^2}\qquad|\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5^{7-2}=5^5$

3 0

3 years ago