witch ratio is equivalent to 1:2 A. 9:18 B.24:12 C.7:14

Answer:

A = 92°

B = 100°

C = 88°

D = 80°

Step-by-step explanation:

Cyclic quadrilateral : a quadrilateral drawn inside (inscribed) a circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

Therefore, A + C = 180° and B + D = 180°

If A + C = 180° , then

⇒ (x + 2) + (x - 2) = 180

⇒ x + 2 + x - 2 = 180

⇒ 2x = 180

⇒ x = 90°

Therefore,

A = x + 2 = 90 + 2 = 92°

C = x - 2 = 90 - 2 = 88°

D = x - 10 = 90 - 10 = 80°

B = 180 - D = 180 - 80 = 100°

Answer:

Answer: Equation is y = ½x + 3

Step-by-step explanation:

Consider points (4,5) and (0,3)

» General linear equation:

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

Slope (m):

[tex]{ \tt{m = \frac{(5 - 3)}{(4 - 0)} }} \\ \\ { \tt{m = \frac{2}{4} = \frac{1}{2} }}[/tex]

slope = ½

y-intercept (c):

[tex]{ \tt{y = \frac{1}{2}x + c }}[/tex]

» Consider point (0,3):

[tex] { \tt{3 = ( \frac{1}{2} \times 0) + c}} \\ \\ { \tt{c = 3}}[/tex]

» Equation:

[tex]{ \boxed{ \tt{y = \frac{1}{2}x + 3 }}}[/tex]

Answer:710

Step-by-step explanation:

1 centimeter is 10 millimeters so 71 times 10 is 710

Answer:

710mm

Step-by-step explanation:

1 centimeter is equal to 10 millimeters:

[tex]1cm=10mm[/tex]

The distance d in millimeters (mm) is equal to the distance d in centimeters (cm) times 10:

[tex]d_{mm} =d_{cm}*10[/tex]

71cm × 10

= 710mm

Answer:

Length of Sofia's poster: 0.75 m

Length of Rafael's poster: 0.65 m

Difference: 0.75m - 0.65m

= 0.1 m

Hope this is correct

Mark as Brainliest please

[tex]\\ \rm\hookrightarrow \sqrt{x-6}=x-12[/tex]

[tex]\\ \rm\hookrightarrow x-6=(x-12)^2[/tex]

[tex]\\ \rm\hookrightarrow x-6=x^2-24x+144[/tex]

[tex]\\ \rm\hookrightarrow x^2-25x+150=0[/tex]

[tex]\\ \rm\hookrightarrow x^2-10x-15x+150=0[/tex]

[tex]\\ \rm\hookrightarrow (x-10)(x-15)=0[/tex]

[tex]\\ \rm\hookrightarrow x=15\:or \:10[/tex]

Answer:

[tex]x = 15,10[/tex] || C and D is the correct choices.

Step-by-step explanation:

[tex]\sqrt{x-6}=x-12[/tex]

[tex]x-6 =(x-12)^2[/tex]

[tex]x-6 = x^2 -24x +144[/tex]

[tex]x^2 -24x -x +144 +6 = 0[/tex]

[tex]x^2 - 25x + 150= 0[/tex]

[tex]x^2 -15x -10x +150=0[/tex]

[tex]x(x-15)-10(x-15)=0[/tex]

[tex](x-15)(x-10) = 0[/tex]

[tex]x = 15,10[/tex]

Step-by-step explanation:

Area of parallelogram:

Area of trapezoid:

[tex]\bold{\huge{\blue{\underline{ Solution \:5 }}}}[/tex]

We have given ,

We know that,

[tex]\sf{\pink{ Area\: of\: parallelogram = Base × Height }}[/tex]

[Parallelogram is a polygon which having opposite sides parallel to each other and the length and breath of the parallelogram are equal ]

Subsitute the required values in the above formula :-

[tex]\sf{ Area\: of\: parallelogram = 4 × 5 }[/tex]

[tex]\sf{ Area\: of\: parallelogram = 20 in. }[/tex]

Hence, Area of parallelogram is 20 inch

[tex]\bold{\huge{\blue{\underline{ Solution\: 6 }}}}[/tex]

We have given here,

We know that,

[tex]\sf{\pink{ Area\: of\: trapezium = 1/2 ×(a + b) × Height }}[/tex]

[Trapezium is figure that having two parallel sides and 2 non - parallel sides. ]

Subsitute the required values in the above formula :-

[tex]\sf{ Area\: of\: trapezium = 1/2 ×(6+14)×8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 1/2 × 20 × 8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 10 × 8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 80 in. }[/tex]

Hence, Area of trapezium is 80 inch.

Answer:

oh shoot just do what you do to find the angles. all of them add up to 180 degrees

Step-by-step explanation:

The submarine is about 54 meters below the surface.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the height of the submarine. Hence:

y = -75 + 21 = 54 meters

The submarine is about 54 meters below the surface.

Find out more on Equation at: https://brainly.com/question/2972832

The radius of the wheel is 140.06 inches

Since the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour, we need to find the distance mover per revolution.

So, distance moved per revolution = speed of truck ÷  revolutions per minute

Speed of truck = 50 miles per hour

Converting to inches per min, we have

= 50 × 63360 in/hr ÷ 1 hr/60 min

= 3168000 in/60 min

= 52800 in/min

revolutions per min = 60 rev/min

So, substituting the variables into the equation, we have

distance moved per revolution = 52800 in/min ÷ 60 rev/min

= 880 in/rev

Since the distance moved per revolution is the circumference of the wheel, C we have that

C = 2πr where r = radius of wheel

Making r subject of the formula, we have

r = C/2π

Since C = 880 in

Substituting the value of the variable into the equation, we have

r = C/2π

r = 880 in/2π

r = 440 in/π

r = 140.06 in

So, the radius of the wheel is 140.06 inches

Learn more about radius of wheel here:

https://brainly.com/question/24463763

Answer:

452 m^2

Step-by-step explanation:

Formula

A=4πr^2

4·π·6^2≈452.38934

Answer:

2/8 farther than Mariam

Step-by-step explanation

mahra walks 5/8 km

Mariam walks 3/8 km

therefore, to know how many km mahra walks farther than mariam.

5/8-3/8

Answer:

C

Step-by-step explanation:

King Snake: 65 inches / 12 inches per foot = about 5.4 feet long

Eastern Diamondback Rattlesnake: 2 yards * 3 feet per yard = 6 feet long

Ridge Nosed Rattlesnake: 4 feet long

Therefore, the eastern diamondback rattlesnake is the longest snake.

Answer:

Riley has 4 times the amount of stickers her sister has

Step-by-step explanation:

220 divided by 55 is 4

Answer:

[tex]5a^2+\frac{2a}{3} + 9[/tex]

Step-by-step explanation:

Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.

60 or y=4×+6

Step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solution.

Answer:

Domain: all real numbers

Range : y ≤ 2

Step-by-step explanation:

Domain : the set of possible x-values

Range : the set of y-values

From inspection of the graph:

Total cost = number of jackets bought x price per jacket.

83.97 = 3x

Divide both sides by 3

X= 83.97/3

X = 27.99

price per jacket = $27.99

Answer:

Segment AC = 10 units

segment AD =

angle 1 = 45°

angle 2 = 90°

AE = BE = CE = DE = 5

SEGMENT AC = AE + CE

= 5 + 5

= 10 UNITS

SEGMENT AD = 5² + 5²

= √50

= 7.071

= 7 UNITS

ANGLE 1 = 90° ÷ 2

= 45°

ANGLE 2 = 360° ÷ 4 / 180° ÷ 2

= 90°

Answer:

45ft²

Step-by-step explanation:

4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )

= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )

= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )

= 4 ( 9 ) + ( 9 )

= 36 + 9

= 45ft

Answer:

[tex]\frac{200}{3}[/tex] square units

Step-by-step explanation:

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - [tex]\frac{3}{4}[/tex] x

0 = 10 - [tex]\frac{3}{4}[/tex] x

[tex]\frac{3}{4}[/tex] x = 10

x = [tex]\frac{40}{3}[/tex]

This means that the base length of the triangle is also  [tex]\frac{40}{3}[/tex]. Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is [tex]\frac{1}{2}[/tex] × height × base

Height = 10, base = [tex]\frac{40}{3}[/tex]

Area = [tex]\frac{1}{2}[/tex] × 10 × [tex]\frac{40}{3}[/tex]

Area = 5 × [tex]\frac{40}{3}[/tex]

Area =  [tex]\frac{200}{3}[/tex]

Answer:

Step-by-step explanation:

The ordered pairs are:

Find the slope:

It means the drop in price is $625 each year.

The equation to reflect this situation is:

Answer: (p, q) = (3, 2)

Step-by-step explanation:

So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.

Matching coefficients, we get that p=3, -2p=-6, and p+q=5.

It follows that p=3 and q=2.

Answer:

C)   x = 3

Step-by-step explanation:

Equation of a line in slope-intercept form:  y = mx + b

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

If the line is perpendicular to the x-axis, the line will be parallel to the y-axis (vertical).  We are told that the line passes through point (3, 4).  Therefore, the line will never intercept the y-axis and so the y-intercept is zero.  Also, all the values of x = 3

So the equation of the line is:  x = 3