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2 years ago

With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD?

1 answer:

4 0

The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

<h3>What are Supplementary Angles?</h3>

By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.

Given the image below, we know the following:

Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle

angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,

angle FEB = angle HGD.

In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

Learn more about supplementary angles on:

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What is the equation of the line described below written in slope-intercept form? The line passing through point (0,0) and paral

artcher [175]

Answer:

$y = - \frac{ 3}{2} x$

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.

3x +2y -6= 0

2y= -3x +6

Dividing by 2 throughout:

$y = - \frac{3}{2} x + 3$

Thus gradient of given line= $- \frac{3}{2}$

Parallel lines have the same gradient.

Thus gradient of line= $- \frac{3}{2}$

Subst. m= $- \frac{3}{2}$ into the equation:

$y = - \frac{3}{2}x + c$

To find c, substitute a pair of coordinates.

When x=0, y=0,

$0 = - \frac{3}{2} (0) + c \\ c = 0$

Thus, the equation of the line is $y = - \frac{3}{2} x$ .

5 0

3 years ago

How would you compare the inequality?

Volgvan

<h3>Answer: Choice A</h3>

-425 < 212

==========================================================

Explanation:

Draw a horizontal number line with negative numbers on the left, and positive on the right. Therefore, -425 is to the left of 212. In turn this means -425 is smaller than 212

Alternatively, draw a vertical number line. Think of 0 as the ground, positive numbers above ground, and negative numbers below ground. With 212 higher than -425, we know that 212 is larger than -425; i.e. -425 is smaller than 212

4 0

2 years ago

Please help, I would appreciate it

max2010maxim [7]

Answer:

-5x + 8y = -21

3x - 4y = 15

8y = 5x - 21

y = 5/8x - 21/8

3x - 4y = 15

-4y = -3x + 15

y = 3/4x - 15/4

5/8x - 21/8 = 3/4x - 15/4

-1/8x = -9/8x

x = 9

3x - 4y = 15

3(9) - 4y = 15

27 - 4y = 15

-4y = -12

y = 3

(9, 3)

3 0

3 years ago

Read 2 more answers

There is a line through the origin that divides the region bounded by the parabola y=2x-4x^2 and the x-axis into two regions wit

shtirl [24]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

y = 7x - 4x²

7x - 4x² = 0 

x(7 - 4x) = 0 

x = 0, 7/4 

Find the area of the bounded region... 

A = ∫ 7x - 4x² dx |(0 to 7/4) 

A = 7/2 x² - 4/3 x³ |(0 to 7/4) 

A = 7/2(7/4)² - 4/3(7/4)³ - 0 = 3.573 

Half of this area is 1.786, now set up an integral that is equal to this area but bounded by the parabola and the line going through the origin... 

y = mx + c 

c = 0 since it goes through the origin 

The point where the line intersects the parabola we shall call (a, b) 

y = mx ===> b = m(a) 

Slope = m = b/a 

Now we need to integrate from 0 to a to find the area bounded by the parabola and the line... 

1.786 = ∫ 7x - 4x² - (b/a)x dx |(0 to a) 

1.786 = (7/2)x² - (4/3)x³ - (b/2a)x² |(0 to a) 

1.786 = (7/2)a² - (4/3)a³ - (b/2a)a² - 0 

1.786 = (7/2)a² - (4/3)a³ - b(a/2) 

Remember that (a, b) is also a point on the parabola so y = 7x - 4x² ==> b = 7a - 4a² 
Substitute... 

1.786 = (7/2)a² - (4/3)a³ - (7a - 4a²)(a/2) 

1.786 = (7/2)a² - (4/3)a³ - (7/2)a² + 2a³ 

(2/3)a³ = 1.786 

a = ∛[(3/2)(1.786)] 

a = 1.39 

b = 7(1.39) - 4(1.39)² = 2.00 

Slope = m = b/a = 2.00 / 1.39 = 1.44

7 0

3 years ago

Please show your work !

jenyasd209 [6]

A point on the coordinate plane is written as (x,y).. since you have two points on your picture think of it as the 1st (x,y) and the 2nd (x,y). When you use the formula and it says y2 - y1 that means take the 2nd y and subtract the 1st y.
When it says x2 - x1 that means take the 2nd x and subtract the 1st x.

It does NOT matter which one you pick for the 1st (x,y) or 2nd (x,y)

In your problem lets just say you decide (-6,-3) will be your 1st point, that mean -6 will be your x1 and -3 will be your y1

Then that means you have to make (1,6) your 2nd point, that means 1 will be your x2 and 6 will be your y2.

Now just substitute, y2 - y1 / x2 - x1 = 6 - -3 / 1 - -6 = 9/7

4 0

3 years ago