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2 years ago

41. If n(G) = 20, n(H) = 30, n(G ⋂ H) = 5, find n(G ⋃ H) 42. If n(G) = 5, n(H) = 8, n(G ⋂ H) = 4, find n(G ⋃ H)

Mathematics

1 answer:

Sever21 [200]2 years ago

8 0

Answer:

hope it will help

plz mark brainliest✌️✌️

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3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$y_{1}=2 \text {. }$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$

Hence, slope-intercept form of equation is given as y=-2x-2.

7 0

2 years ago

Select all the pieces of the triangle that are marked as congruent in the following picture

nikitadnepr [17]

Answer:

C. D. E. is the correct answer.

Step-by-step explanation:

Hope this helps you. Have a nice day. If you have doubt then please ask in comments.

Please mark as brainliest. It helps a lot.

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2 years ago

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If angle 1 is 110°, what would the other angle measures

Iteru [2.4K]

Answer:

If Angle 1 is 110,

then the second angle to complete the straight angle (180 degrees) is...

180 - 110 = 70

Angle 2 = 110 (same as Angle 1, plus it's obtuse)

Angle 3 = 70 (it's acute)

Angle 4 = 70 (same as Angle3, plus it's acute)

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2 years ago

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The table below represents the equation: y = 1.5x – 2 If you completed this table, would each input have exactly one output? yes

stealth61 [152]

Answer:

Step-by-step explanation: y=1.5(3)-2

y=2.5

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2 years ago

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Solve the system of equations using the substitution method.

Firdavs [7]

y = -1 + 3/8x

2x - 5y = 6

Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

2x + 5 - 15/8x = 6

2x - 15/8x = 1

16/8x - 15/8x = 1

1/8x = 1 Multiply 8 on both sides to get x by itself

x = 8

Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2

2(8) - 5y = 6

16 - 5y = 6

-5y = -10

y = 2

(8,2)

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3 years ago