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Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

Answer:

537.64

Step-by-step explanation:

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

Answer:

y= 3(x+5)^2 -4

Answer:

15 equations

Step-by-step explanation:

Let

Number of equations in the homework = x

There is only a one-word problem

y = amount of time used to solve the word problem

She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,

Total = 3x + y

52 = 3x + 7

Subtract 7 from both sides

52 - 7 = 3x + 7 - 7

45 = 3x

Divide both sides by 3

x = 45 / 3

= 15

x = 15 equations

Therefore, she solved 15 equations

Answer:

The first one is C and I don't know what the other one is

Answer:

The unit rate is $9.20 per toy

Step-by-step explanation:

Since the total of the toys is 46, you divide by 5, to see how much each toy is

Answer:

PY = 3 sqrt 3

Step-by-step explanation:

Hope it helps.

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

Answer:

28/45

Step-by-step explanation:

Dont worry i also don't feel like doing fractions most the time they can get very annoying when you have to work with a lot of them.

Answer:

36/45* 35/45

Answer:

your answer would be c thank me later

Step-by-step explanation:

Answer:

The answer is 63.1

Step-by-step explanation:

Answer: I believe its 36

Step-by-step explanation:......

Answer:

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Step-by-step explanation:

Given that:

Cost of cell phone at Verizon = $300

Monthly fee = $40

Let,

x be the number of months

V(x) = 40x + 300

Cost of cell phone at T-mobile = $200

Monthly fee = $60

T(x) = 60x + 200

For equal amount of money,

V(x) = T(x)

40x+300=60x+200

300-200=60x-40x

100=20x

20x=100

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{100}{20}\\x=5[/tex]

Hence,

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Answer:

1.1  ithink

Step-by-step explanation:

Given :

Total amount of pudding made, T = 5 pounds.

Size of each cup, s = 4 ounces.

To Find :

How many total individual pudding cups can Harper make.

Solution :

Let, n number of pudding cups can filled with 5 pounds pudding.

We know, 1 pound = 16 ounces.

So, 5 pounds = 16×5 = 80 ounces.

Now,

[tex]n = \dfrac{80}{s}\\\\n = \dfrac{80}{4}\\\\n = 20 \ cups[/tex]

Therefore, 20 cups can be filled with 5 pounds of pudding.

Answer:

for neg its -6-6 and for the right side 8-3

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Answer:

(-10,-7)

Step-by-step explanation:

Lets start with the equation y>-3x+7

Which of these are solutions?

(5,-5) - yes

(10,-8) - yes

(5,-6) - yes

(-10,-7) - no

Now lets do the equation y<4/5x-2

Which of these are solutions?

(5,-5) - yes

(10,-8) - yes

(5,-6) - yes

(-10,-7) - no

So, the point (-10,-7) is not a solution to the system of equations.

Answer:

Step-by-step explanation:

Answer:

These equations describe two lines that intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4.

Step-by-step explanation:

We can find the point where these two lines intersect by taking one of the equations, solving it for x, and substituting it into the other equation.

[tex]y = -4x + 4\\-4x = y - 4\\4x = 4 - y\\x = 1 - \frac{y}{4} \\\\y = 3x + 11\\y = 3(1 - \frac{y}{4}) + 11\\y = 3 - \frac{3y}{4} + 11\\y + \frac{3y}{4} = 3 + 11\\\frac{4y}{4} + \frac{3y}{4} = 14\\\frac{7y}{4} = 14\\y = \frac{4}{7} * 14\\y = 4 * \frac{14}{7}\\y = 4 * 2\\y = 8[/tex]

Now we can plug that into our first equation to find x

[tex]x = 1 - \frac{y}[4}\\x = 1 - \frac{8}[4}\\\\x = 1 - 2\\x = -1[/tex]

So these lines intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

The answer is 278.4 hope this help

Answer:

The what

please but a picture please