Choose one of the theorems about chords of a circle and state it using your own words. Create a problem about chords that uses the theorem that you explained. Choose a problem that a classmate has posted, and explain how to solve it. Note: If you do not see any other responses, explain how to solve the problem that you posted. Please number your responses to the questions as they are shown (1, 2, and 3).

Answer:

A)21

B) 70

C)89

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=180° - 110° =70°

a = 21°

C= 180° - b - a= 180 - 70 - 21= 89°

[tex]good \: luck[/tex]

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Answer:

The events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 -----  25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of  being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

[tex]P(S) = 100/125 = 0.8[/tex]

P(Logo A) = Total that prefers Logo A / Total Population

[tex]P(Logo\ A) = 78/125 =0.624[/tex]

P(S n Logo A) = Number of students that prefer logo A /  Total Population

[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]

If the events are independent, then the following condition must be satisfied

[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

[tex]0.536 = 0.8 * 0.536[/tex]

[tex]0.536 \neq 0.4288[/tex]

Since they are not equal, then the events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Answer: b

Step-by-step explanation: just took the quiz

Answer:

Please find attached the graph of the following function;

[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]

Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

Answer:

C

Step-by-step explanation:

BC is the opposite of angle 54, adi is AC=39

tan54=opp/adj.

BC=AC(tan54)

BC=39(1.376)=53.6789 close to 53.68

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Answer:

1.   2 1/4 cups  

2.  2 7/20 cups

Answer:

2 1/4 and 2 7/20

Step-by-step explanation:

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2​

We should note that since it has infinitely many solutions then,

[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]

Hence

2/a-b  =  3/a+b   =     7/3a +b-2

2/a-b  =  3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b  -------------------------------------------(1)

Similarly

3/a+b   =     7/3a +b-2

cross-multiply

7(a+b)  = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2)   and solve for b

-2(5) + 4b = -6

-10  +  4b  = -6

add 10 to both-side of the equation

-10  + 10+ 4b  = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore,   a= 5    and   b=1

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

=

n = 0

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

A (0,-3) and D(4,5)

Step-by-step explanation:

Given system of equations

y = x2 - 2x-3

y = 2x - 3

Solution to these will be value of x for which value of y in both equation will  same.

In graph, solution will point at which  curve of both equation intersect each other

To solve this we will equate the two  equations

[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]

Thus, value of x is 0 and 4

we will put this value in given set of equation.

y = 2x- 3

taking x  = 0

y = 2*0 -3 = 0-3 = -3

one solution is (0,-3)

taking x = 4

y = 2*4 - 3 = 8-3 = 5

Another solution is (4,5).

Though , the problem is solved we will see it this value satisfies other equation or not better understanding

y = x^2 - 2x-3

taking x = 0

y = 0^2 - 2*0-3 = -3

one solution (0,-3)

taking x = 4

y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5

other solution (4,5)

thus, we see both equation gives same set of solution.

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

Answer:

$36.25+$3.89x≤$58.50

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so  the answer would be $58.50.

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

Answer:

The discriminant equals to 0

Step-by-step explanation:

We have to remember our discriminant rules;

d > 0, we have 2 real roots

d = 0, we have 1 real root

d < 0, we have 2 complex roots

Answer:

77

Step-by-step explanation:

you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer

Answer:

See below.

Step-by-step explanation:

June: $32

July: $45

August: $43

[tex]32+45+43=120[/tex]

Kyree has $120 in total.

School supplies: $17

Clothes: $26

[tex]26 +17=43[/tex]

[tex]120-43=77[/tex]

Kyree has $77 left.

:)

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Answer:

5/9

Step-by-step explanation:

There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9

The probability of selecting a combination that includes a burger or a salad is 5/9

Since the total of 6 outcomes include fries or fruit as the side dish.

There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.

The Entrees consist of burgers, tacos, and pizzas.

The side dishes consist of salad, fries, and fruit.

To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.

With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.

There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.

There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.

then probability = 5/9

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

Answer:

D for sure

Step-by-step explanation: