4x + 5
————
2
=9x - 3

Answer:

[tex] \boxed{x = 45°} [/tex]

Step-by-step explanation:

When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.

To determine the angle of the arc, we must apply this geometric rule:

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].

Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →

[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →

[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

[Given]

[tex] \overset{\frown}{BA} = x° [/tex]

[tex] \overset{\frown}{CD} = 99° [/tex]

[tex] Angle \: formed \: by \: chords \: = 72° [/tex]

→

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

→

[tex] x° = 2 × 72° \: – \: 99° [/tex]

[tex] x° = (2 × 72°) \: – \: 99° [/tex]

[tex] x° = 144° \: – \: 99° [/tex]

[tex] \boxed{x° = 45°} [/tex]

Answer:

A

Step-by-step explanation:

We can solve this problem by eliminating wrong answers

It can be b because there is no 3

It can be c because the equation would be 4+3

And it can be d because the equation would be 3x+4

so it must be a

Answer:

option A is correct

as additional page costs is not fixed so there will be any value of x with multiply by 4

and the fixed remain only one time so it remains fixed and 3 is also fixed.

Answer:

Just 19 is a factor of both.

GCF of 38 m and 57 n is :19.

Hope this helps!

Answer:

28 books and 14 months

Step-by-step explanation:

Because 28 is greater then 14 by 14 not 7

Answer: The anwser is Triangle 2

The given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have given a congruent triangle in the picture.

After close observation, the second triangle has the same size and the same shape, and the same construction method by arc method.

Other triangles have different construction methods.

Thus, the given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.

Learn more about the congruent triangle here:

https://brainly.com/question/12413243

#SPJ2

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

Answer:

The answer is 8 below is how you do it.

Step-by-step explanation:

first combine like terms 3x-8x

then you will have 5x

then do 40/5 and you will get x=8

Ok so to solve for x you need to isolate the variable. Usually, when solving an equation the first step would be to get all of the variables of x on the same side but this equation is already set up that way. Since 3x and 8x are both of the variable x you can simply subtract them and you would be left with:

-5x=-40

Now what you want to do is completely isolate x to get it by itself in which you would divide both sides by -5. Remember *When solving an equation you must do the same math to both sides.

-5x/-5=-40/-5

x=8

So the answer would then be 8. Also remember you can always check to see if your equation is correct by plugging your answer into the original equation

3(8) - 8(8) = -40

24 - 64 = -40

-40 = -40

Hope this helped :)

Answer:

1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

I don’t really know how to explain it’s sry.

Answer:

37.699cm

Step-by-step explanation:

The circumference of a circle can be obtained by using the equation below:.

Given:

Endpoints of a line segment EF are E(-3,8) and F(7,-7).

Point  P divides the segment EF such that EP:PF = 2:3.

To find:

The coordinates of the point P.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the points are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.

Using section formula, we get

[tex]P=\left(\dfrac{2(7)+3(-3)}{2+3},\dfrac{2(-7)+3(8)}{2+3}\right)[/tex]

[tex]P=\left(\dfrac{14-9}{5},\dfrac{-14+24}{5}\right)[/tex]

[tex]P=\left(\dfrac{5}{5},\dfrac{10}{5}\right)[/tex]

[tex]P=\left(1,2\right)[/tex]

Therefore, the coordinates of the point P are (1,2).

Answer:

paid to buy = 1850

profit = 10%

Step-by-step explanation:

2035 = 110%

1% ~ = 18.5

100% = 1850

2035 - 1850 = 185

185 / 1850 * 100 = 10% profit

Answer:

I think that it is zy.

Step-by-step explanation:

I believe this because x angle is 100 degrees while y angle is 50 degrees. Z is still unknown, but since y is the smallest number of the 2 angles we do know, I think that it is safe to asume that zy is the shortest side.

Answer:

solution given:

y=3(19)-5=57-5=52

y=2(19)+14=2×19+14=38+14=52

:.

y=52

Answer:

y = 52

Step-by-step explanation:

Order of operation says we must multiply before you subtract or add.

So 3 * 19 = 57 then subtract 5 you get 52.

Next 2 * 19 = 38  then 38 + 14 = 52

Answer:

The distance between the two points is 10.3

Step-by-step explanation:

To find the length of the line joining the two points, we are going to use the distance formula

Mathematically, we have this as;

D = √(y2-y1)^2 + (x2-x1)^2

From the question;

(x1,y1) = (-3,4)

(x2,y2) = (2,-5)

Thus, we have it that;

D = √((-5-4)^2 + ((2-(-3)^2

D = √81 + 25

D = √(106)

D = 10.3

Answer:

the answer will be one times ten raised to the power five

Answer:

6.994x10^9 .................

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

Answer:

[tex]36\ feet[/tex]

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

[tex](height):(shadow)[/tex]

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

[tex]6:1.7[/tex]

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

[tex]6:1.7=x:10.2[/tex]

Cross products,

[tex](1.7)(x)=(6)(10.2)[/tex]

Simplify,

[tex]1.7x=61.2[/tex]

Inverse operations,

[tex]1.7x=61.2[/tex]

[tex]/1.7[/tex]

[tex]x=36[/tex]

Answer:-170

Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.

Respuesta:

416

Explicación paso a paso:

El Área de la habitación:

Largo * ancho

Longitud = 15 pies

Ancho = 12 pies

Área de la habitación = Largo * Ancho

Área de la habitación = 15 pies * 12 pies

Área de la habitación = 180 pies²

Conversión del área de la habitación en patio²

Dividir el área en pies² por 9

180 pies² ÷ 9 = 20 yardas²

Costo de la alfombra por yarda cuadrada = 20.80

Costo total de la alfombra = 20.80 * 20 = 416

Answer:

Hola que hace

:I

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

Answer:

the school

Step-by-step explanation:

the point given is (4,5) so let's try to hone in on that so to speak-

with that in mind, the way that i find the easiest to answer this is by using rise over run or the crawl before you walk method

seeing as how both are practically the same i'll just go with the craw before you walk method-

so we will 'crawl' to 4 along the x axis then we'll 'walk' and stop once we reach (4,5) and at (4,5) there is the school building and since her town is also located at the same point the school building is the correct answer

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

the amount of cereal in a box

the amount of milk in a milk carton

the amount of space inside a van

Answer:

(1.3×10000)×0.05=650$

Step-by-step explanation:

It was sold for 30% more than at the auction, which means we add 30% which is 0.3 of the price at the auction so 10000 + (30/100)×10000 which equals 13000. Now take 5% which is 0.05 of 13000 to get the final answer

(x% is equal to X/100)

Ar of triangle = 3b , Ar of triangle = 6a a = 12/root3

Answer:

the number is 13

Step-by-step explanation:

13+8=21

Answer:I think it means that a number plus 8 is 21? or possibly multiplied?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are right becuase thats mainly were the cluster is.

Answer:

m<a=56

m<b=34

m<c=56

Step-by-step explanation:

The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.

You already have an angle that measures 34 degrees.

Alternate interior angles are congruent. So, the given angle is equal to m<b.

Now add 90+34=124

To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.

Answer:m

Step-by-step explanation: