Inscribed angles exit card

Step-by-step explanation:

X-2y=5 ; 2x-4y=10

• x - 2y = 5 • 2x -4y = 10

-2y = -x+5 -4y= -2x +10

y1 = ½x - 5/2 y2 = ½x -5/2

• => y1 = y2

½x -5/2 = ½x -5/2

the systems have no solution

• graph as attached

Answer:

[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

True for all x (infinitely many solutions)

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y = mx + b[/tex]

(where m is the slope and b is the y-intercept)

Given equations:

[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]

To put both equations in slope-intercept form, rearrange both equations to make y the subject:

Equation 1

[tex]\implies x-2y=5[/tex]

[tex]\implies x-2y+2y=5+2y[/tex]

[tex]\implies x=5+2y[/tex]

[tex]\implies x-5=5+2y-5[/tex]

[tex]\implies 2y=x-5[/tex]

[tex]\implies 2y \div 2=(x-5) \div 2[/tex]

[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

Equation 2

[tex]\implies 2x-4y=10[/tex]

[tex]\implies 2x-4y+4y=10+4y[/tex]

[tex]\implies 2x=10+4y[/tex]

[tex]\implies 2x-10=10+4y-10[/tex]

[tex]\implies 4y=2x-10[/tex]

[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]

[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

Therefore, both equations are the same as they have the same slope and y-intercept.

As both equations are the same, this system of equations is called an equivalent system.

To solve a system of equations by substitution, substitute one equation into the other:

[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]

As both sides are equal, the solution is true for all x.

The solution to a graphed system of equations is the point(s) of intersection.

When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.

Learn more about systems of equations here:

https://brainly.com/question/21447811

https://brainly.com/question/27357423

Answer:

19433

Step-by-step explanation:

Substitute x = 144 and y = 16 into the expression

(144 - 5)² + 7(16)

= 139² + 112

= 19321 + 112

= 19433

Answer:

3.6 is the answer

Step-by-step explanation:

3z when z=1.2

3(1.2)=?

3*1.2=

(3*1)+(3*.2)=3+.6

Answer:

3.6

Step-by-step explanation:

If z = 1.2

3z

= 3 × (1.2)

= 3.6

Hope it helps ⚜

Answer:

Step-by-step explanation:

What do u need help with???

Answer:

-10

Step-by-step explanation:

Answer:

The arc length of the entire circle would be 2*PI*9

We need to know the arc length of 1/3 of the circle so we calculate

arc length = (2 * PI * 9) / 3

arc length = 2 * PI * 3

arc length = 6 * PI

arc length = 18.8495559215

Step-by-step explanation:

Step-by-step explanation:

if b+c=0

b=-c

x^b=x^-c

so

1/[2(x^b)+1]

Answer:

The formula of a surface area of a cone:

SA=pi rl+\pi r^2SA=pirl+πr

2

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

d=2r\to r=6in:2=3ind=2r→r=6in:2=3in

Substitute:

SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3

2

)=24π+9π=

33π in

2

Answer:

Hello there,

So the answer is C,

The real result is approximately 103,53 and by rounding up the result to the nearest inch, we find C!

PLEASE MAKE SURE TO GIVE ME BRAINLIEST THX <3

Answer:

$509.97 is Rosa's regular pay

Answer: 340 students

Step-by-step explanation:

The number of students walking to school is 119 and this is 35% of the total number of students.

Assume the total number is denoted by "x".

That would mean that the following formula captures the situation:

119 = 35% * x

119 = 0.35x

x = 119/ 0.35

= 340 students

Answer: precise but not accurate

Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

Answer:

192

Step-by-step explanation:

16×12

if it is 16 wide then we shall multiply by 12

Answer:

option 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

There are 10 data points in the graph, so the second one represents all 10 data points whereas the first one only shows the values and not how many of each value there are

Answer:

Step-by-step explanation:

13+24m=41m

13=41m-24m

13=17m

13/17=m

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

13 + 24m = 41m

13 = 41m - 24m

13 = 17m

= 13/17 = m

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

∠ EDC = 55°

Step-by-step explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA = [tex]\frac{180-20}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80°

Similarly for Δ BCD

∠ CDB = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°

Answer:

The number is 24

Step-by-step explanation:

1/6x + 3/8x = 13

4/24x + 9/24x =13

13/24x = 13

13x=312

x=24

y = 1/2x + x where x is any real number

y= -1/3 + x where x is any real number

Answer: to make a line parallel to y = 1/2x + 6, just change the y-intercept (6), and to make a perpendicular line to y = 3x - 8, turn the slope (3x) into its opposite (1/3x).

Step-by-step explanation:

Answer:

the probability of drawing a red would be 12/60, or 1/5, which is 0.2 or 20%

Answer:

52 miles

Step-by-step explanation:

You can use simple law of proportions to calculate this one.

[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]

solve for x and you get 52 miles.

I have added a similar example below if that helps further explain this.

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )

Answer:

c=26

Step-by-step explanation:

10^2 + 24^2=c^2

100+576=c^2

676=c^2

c=26

Hope I helped, have a nice day :)

Answer:

The Answer is 26

Step-by-step explanation:

to find the hypothenuse you need to use this formula a²+b²=c² so 10x10 is 100 and 24x24 is 576. Add those up and find the square root. √676 is 26.

Hope this Helped

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer:

Is the C and F

Step-by-step explanation:

part a y= x × 100

Step-by-step explanation:

1 bar is 100 calories so you would times it by 100 for every bar

Answer:

57.12 cm²

Step-by-step explanation:

The given dimensions of the hexagon are;

The side length of the hexagon, s = 5 cm

The distance across flats = 8 cm

The distance across corners = 9.28 cm

The area of a regular hexagon, 'A', is given as follows;

[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]

Where;

a = The side length of the hexagon

P = The perimeter of the hexagon

h = The height of one of the triangles in the hexagon

However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle

A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²

A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂

The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂

∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²

2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²

The area of the hexagon, A = 57.12 cm²