Two roads, A and B, run parallel to each other. A third road, C, passes through both A and B. Road C creates an exterior angle of 77 with road A.
What is the measure of the alternate exterior angle made by the intersection of road B and road C?

Answer:

[tex] \frac{y}{34} [/tex]

Step-by-step explanation:

Cosine is the adjacent side of the triangle divided by the hypotenuse.

The numerator is going to be the side adjacent to the angle 53

So the top number is y.

The hypotenuse is the side opposite of the right angle. So the bottom number is 34

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

Answer:

The last one

Step-by-step explanation:

The slope is 1.

Step-by-step explanation:

Answer:

√9= either +3 or -3 when u have factorised

Answer:

\sqrt{9} = ±3

as, the value of the square root of 9 can be expressed as +3 and -3 or we can say the roots of 9 are +3 and -3. Number 9 is the perfect square as it fulfils the criteria .

ENGOY YOUR DAY

#Captainpower

Answer:

Step-by-step explanation:

Perpendicular lines have negative-reciprocal slopes.

The line contains point P(4, 8)

Point slope form:

Given line:

The slope of the perpendicular line is m = -1/4.

The line in point-slope form is:

Answer:

y - 8 = -1/4(x - 4)

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.

Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)

y - y₁ = -1/4(x - x₁)

To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.

y - 8 = -1/4(x - 4)

This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)

Hope this helps!

Answer:

Step-by-step explanation:

you have to multiply the bracets by the factor

then add +1 to both sides

Equation :

[tex]y=\frac{-3}{4}x-2[/tex]

yes, it's the same as b

Answer:

B

Step-by-step explanation:

650000 = 10⁵x 6.5

Answer:

The answer is b.

Step-by-step explanation:

Answer:

7 m

Step-by-step explanation:

We are told that;

100 cm = 1 m

Thus; 2.54 cm = 2.54 × 1/100 = 0.0254 m

This means that;

1 inch = 0.0254 m

Thus; 275 inches will give; 275 × 0.0254/1 = 6.985 m

Approximating to the nearest metre gives 7 m

Answer:

3(4y + 6)

6(3 + 2y)

2(9+6y)

Step-by-step explanation:

When factored, all of them are equivalent to 12y + 18.

Answer:

6(2 + 3y), 6(3 + 2y), and 3(4y + 6)

Step-by-step explanation:

6(2 + 3y)= 18y+12

2(6 + 9)=30

209 + 6y)= can't factor

6(3 + 2y)= 12y+18

3(4y + 6)=12y+18

hope this helps :)

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

x = 5

Answer:

The Person ^ is Correct the Answer is X=5

Step-by-step explanation

You Have a Brain, Use It

Answer:

Step-by-step explanation:

For Explanation , see image

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m

Answer:

$2652.75

Step-by-step explanation:

Let b represent the original amount shared out

The equation representing how much adeel received is

4/9 x b = RS 1179

To find b, divided both sides by 9/4

b = $2652.75

Answer:

2/5+1/3=6/15+5/15=11/15

30.000+24.000+15.000 =69.000

Answer:

Step-by-step explanation:

-5x + 8 = -4x + 9

-x + 8 = 9

-x = 1

x = -1

Answer:

Step-by-step explanation:

-0.5

Step-by-step explanation:

If x is 1, plug it into the equation.

So, y=-3(1) + 2.5

-3(1) = -3

now add.

-3+2.5 = -0.5

so that should give you y = -0.5

Answer:

2x/y ??

Step-by-step explanation:

Answer: If the sign missing is supposed to be a plus sign, then the answer is 12x+24y

Step-by-step explanation:

Answer:

6 seconds

Step-by-step explanation:

Just took the test :)

Answer:

3 meters wide

Step-by-step explanation:

if the volume is 24 and the bed is 4 meters long and 2 meters deep, just multiply 4 x 2 =8 then find what number multiplies with 8 to get 24 which is: 3

Answer:

a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].

Step-by-step explanation:

a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].

b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].

c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].

d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].

e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].

f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].

Answer:

The anwser is B forsho

Step-by-step explanation:

'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.

Answer:

6 parts yellow

Step-by-step explanation:

Answer:

option A is correct answer .

Step-by-step explanation:

a triangle cannot be formed with the sides 8,5 and 15.

5+8 = 13 is not greater than 15.

plz mark my answer as brainlist if you find it useful.☺️

Answer: m=2

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

18m=36

Step 1: Divide both sides by 18.

18m/18=36/18

m=2