2.9. AP-2
Write an equation for the line in slope-intercept
form
S
6
2
2
4
6
8
The equation is
(Use integers or fractions for any numbers in the equation)
0
More
Enter your answer in the answer box and then click Check Answer

Answer:

40°

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are equal

3x + 10 = 2x + 20

Take away 2x from both sides

x + 10 = 20

Take away 10 from both sides

x = 10

Now that we know the value of x, substitute it back into the equations

3x + 10 = 3 x 10 + 10 = 30 + 10 = 40

2x + 20 = 2 x 10 + 20 = 20 + 20 = 40

Both angles are equal to 40°

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf {We\ are\ given\ a\ cyclic\ quadrilateral.} \\ & \sf {The\ measures\ of\ the\ opposite\ angles\ of\ the\ quadrilateral\ are\ {\pmb{\sf{(3x\ +\ 10)^{\circ}}}}\ and\ {\pmb{\sf{(2x\ +\ 20)^{\circ}}}}.} \end{cases}[/tex]

We know that,

In a cyclic quadrilateral, all the four vertices of the quadrilateral lie on the circumference of the circle. The opposite angles in a cyclic quadrilateral add up to 180°. So simply, we just simplify the measures and find the value of x. And at last, we'll find the angles of the quadrilateral.

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {(3x\ +\ 10)\ +\ (2x\ +\ 20)\ =\ 180} \\ \\ \\ \sf \dashrightarrow {3x\ +\ 10\ +\ 2x\ +\ 20\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ +\ 30\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 180\ -\ 30} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 150} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{150}}{\cancel{5}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 30.}}}}_{\sf \blue{\tiny{Value\ of\ x}}}} [/tex]

∴ Hence, the required value of x is 30. Now, let us find out the angles.

[tex]\rule{200}{3}[/tex]

First AnglE :

∴ Hence, the measure of the first angle of the quadrilateral is 100°.

[tex]\rule{200}{3}[/tex]

Second AnglE :

∴ Hence, the measure of the second angle of the quadrilateral is 80°.

Answer:

[tex]\displaystyle 34°[/tex]

Step-by-step explanation:

[tex]\displaystyle csc^{-1}\:1\frac{4}{5} = \theta; 33,748988596...° \\ \\ \boxed{34° \approx \theta}[/tex]

OR

[tex]\displaystyle sin^{-1}\:\frac{5}{9} = \theta; 33,748988596...° \\ \\ \boxed{34° \approx \theta}[/tex]

I am joyous to assist you at any time.

Answer:

5(2+x^5)

Step-by-step explanation:

...

im guessing we need to factor

Answers:

Slope = -3

y intercept = -2

Explanation:

Compare the given equation with y = mx+b

We see that m = -3 is the slope and b = -2 is the y intercept.

[tex]===========================================[/tex]

we're given the line's equation; it's written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the line's slope

[tex]\pmb{b}[/tex] is the y-intercept of the line

in this case,

slope: [tex]\pmb{-3}[/tex]

y-intercept: [tex]\pmb{-2}[/tex]

[tex]=====================================[/tex]

Hope everything is clear; if you need any more explanation, kindly let me know.

The correct statements that express ratio are;

b. For every 7 kids there need to be 3 pizzas.

c. The ratio of kids to pizzas is 7:3.

Here,

Diego estimates that there will need to be 3 pizzas for every 7 kids at his party.

We have to find the all statements that express this ratio.

What is Ratio?

A ratio indicates how many times one number contains another.

Now,

There are 3 pizzas.

Number of kids = 7

Hence, The ratio of pizzas to kids = 3 : 7 ( it can be read as 3 is to 7 )

And, For every 7 kids there need to be 3 pizzas.

The ratio of kids to pizzas = 7 : 3 ( it can be read as 7 is to 3 )

Therefore, The correct statements that express ratio are;

b. For every 7 kids there need to be 3 pizzas.

c. The ratio of kids to pizzas is 7:3.

Learn more about the ratio visit:

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Answer:

28%

Step-by-step explanation:

50 x 0.28 is 14

Answer:

i wrote how to below!

Step-by-step explanation:

okay since the y intercept is 2, put a dot on the point (0, 2)

now for the next one just substitute an easy value like 1 to the equation

y = 3/4(4) + 2

the 4 will cancel out the denominator then...

y = 3 + 2

y = 5

now put a point on (4, 5)

Answer:

answer in explanation

Step-by-step explanation:

(0,2)

(1,2.75)

(2,3.5)

(3,4.25)

(4,5)

Answer:

m = 8

Step-by-step explanation:

first set the inside values equal to 90 degrees (6m + 6) + 36 = 90.

then easily work it out.

subtract 36 from each side

(6m + 6) + 36 = 90

               -36     -36

so now it's (6m + 6) = 54

subtract 6 from each side

6m = 48

divide each side by 6

m = 8

Answer:

9w2x.

Step-by-step explanation:

8w2x + w2x

= 9w2x.

Answer:

20.758

Step-by-step explanation:

8.74 + 7.086 + 4.932

Answer:

58 tourists

Step-by-step explanation:

25% = .25

.25 x 232

=58

Answer:

8% or 74

Step-by-step explanation:

930 x 0.92 = 856

930 - 856 = 74

Have a great day!!

Please rate and mark brainliest!!

In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

percentage, a relative value indicating hundredth parts of any quantity.

In a survey of 930 students in a school.

92% reported having pets at home.

We need to find the margin of error.

The formula for margin of error=±1/√n

Where n is number of students

margin of error=±1/√930

=±1/√930

=±1/30.45

=±0.033

Now let us multiply with hundred.

=3.3%

Hence, In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

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Answer:

c

Step-by-step explanation:

i got i wrong with b and d and it showed me the right aswer

Step-by-step explanation:

to do what ?

the calculation of the 2 solutions for the quadratic equation is already done here.

so, what else do you need ? an explanation ?

in general, a quadratic equation looks like

ax² + bx + c = 0

and the formula for the solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

remember, a linear equation (x¹) has one zero solution.

a quadratic equation (x²) has 2 zero solutions.

a cubic equation (x³) has 3 zero solutions.

and so forth.

the 2 solutions here are created by the "±" operation. one solution is using the "+". and the other the "-". that is all.

so, what happened here was simply putting the values of the given equation into the solution formula and doing the calculations.

and the final line is saying that the solutions are the set of the 2 numbers represented by the "±" expression.

to finish this up for better clarity :

the first solution is

x = (-17 + sqrt(217))/4 = -0.567270034...

the second solution is

x = (-17 - sqrt(217))/4 = -7.932729966...

is there anything still unclear ? please let me know.

Answer:

0.50 goes right in the middle between 0 and 1 and 0.85 goes 1/5 away from 1

Step-by-step explanation:

Answer:

100 i think

Step-by-step explanation:

let the number be x

48% = 0.48

0.48x = 48

48 / 0.48 = x

x = 100

Answer:

1 task = 6.25 minutes

The robot can complete 9.6 task in 1 hour

Step-by-step explanation:

Number of task = 8

Time taken = 5/6 of 1 hour

5/8 of 1 hour = 5/6 × 60 minutes

= 300/6

= 50 minutes

8 task takes 50 minutes

1 task = 50 minutes / 8 task

= 6.25 minutes

1 task = 6.25 minutes

x task = 60 minutes

1 : 6.25 = x : 60

1/6.25 = x / 60

1*60 = 6.25*x

60 = 6.25x

x = 60/6.25

= 9.6

x= 9.6

The robot can complete 9.6 task in 1 hour

Answer:

X = 2

Step-by-step explanation:

Answer:

6a+11

Step-by-step explanation:

First you do 5 times 4 which is 20. Next you want to subtract 20 and 9 and you get 11. Lastly you want to rearrange the terms so you get the solution of 6a+11

Answer: 5y + 2x - 3

(In simplest form)

Answer:

the slope should be -1/3 because perpendicular is always opposite of the original slope.

Step-by-step explanation:

I think it's decreasing

Answer:

A

Step-by-step explanation:

[tex]\sqrt{50}[/tex] is not a perfect square. This means that you can rule out answers B and D, because it won't be 'exactly' anything.

Let's think about the other answer choices. C says that the answer of \sqrt{50} will be between 24 and 25. This is easily checkable by doing [tex]24^{2}[/tex], which equals 576. This easily eliminates option C.

Now, if the other answer choices weren't so obviously incorrect, let's see how you would solve this. What's the closest perfect square root under 50?

[tex]\sqrt{49}[/tex], which equals 7.

What's the closest perfect square root above 50?

[tex]\sqrt{64}[/tex], which equals 8.

This puts [tex]\sqrt{50}[/tex] between 7 and 8.

Answer:

Option A

Step-by-step explanation:

Here we can find out the correct option by eliminating the wrong options . We know that √50 is not a perfect square.

This eliminates option d as it says that its value is exactly 7 .

[tex]\implies \red{\text{ Option D is wrong }}[/tex]

Now look at Option C , it says that it lies between 24 and 25 . This is impossible since , 24² = 576 and 25² = 625 .

[tex]\implies \red{\text{ Option C is wrong }}[/tex]

Again the option b is similar to option d , as it says its exact value is 25 which is not possible. Hence this option is also wrong .

[tex]\implies \red{\text{ Option B is wrong }}[/tex]

Now we are ultimately left with option with shared that its value lies between 7 and 8 . We know that 7² = 49 and 8² = 64. And 50 lies in between them. Therefore Option A is the correct option .

[tex]\implies \green{\text{ Option A is correct. }}[/tex]

Answer:

Rs 800

Step-by-step explanation:

VAT%=15%

Total price =Rs920

Consider price without VAT as Rs x.

Then,

Total price =x+15%of x

or,920=23x/20

or, 23x=920*20

or, x=18400/23

Therefore, x=Rs 800

Answer:

maximum amount of number of days that Jackson can rent a car while staying with his budget is 2 days

Step-by-step explanation:

first of all find the amount of money he will spend for 500 miles

in this case we multiply 0.12 by 500

=> 0.12 × 500

=> 60

subtract 60 from the money budgeted which is $210

=> $210 - 60

=> 150

divide 150 by the company charges per day which is dollars 68.64

=> 150 ÷ 68.64

divide 150 by 68.64

=> 2.185314685314685

approximately

=> 2 days

Answer:

2

Step-by-step explanation: