Trout Street and Salmon Street are the same distance from the boardwalk to the intersection of 1st Street, Trout Street, and Salmon Street as shown in the diagram. Abby walks down 1st Street and stops when she reaches the boardwalk.

How far of a walk does she have to get to Trout Street?

Abby's walk to Trout Street is _______ yards.

Using the same-side interior angles theorem, the values of x and y are:

x = 80

y = 130

The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.

(x - 30) and (x + 50) are same-side interior angles, therefore:

(x - 30) + (x + 50) = 180

Solve for x

x - 30 + x + 50 = 180

2x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

(x - 30) + y = 180

Plug in the value of x

(80 - 30) + y = 180

50 + y = 180

y = 180 - 50

y = 130

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Answer:

X= 80

Y= 130

Step-by-step explanation:

do you trust me???

Answer: it's answer A

Step-by-step explanation:

It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)

and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.

Step-by-step explanation:

I am not sure I can see the room limitations.

what I see is that the kitchen is one large rectangle from

(-8, 8) to (0, 0).

the rec room is Amado one large rectangle from

(5, 6) to (8, -7).

I am basing the rest in this.

for the area calculations, please consider that the area of a rectangle is length × width, and the area of a triangle is half of the rectangle it splits in half with its baseline (as diagonal).

A)

area 1 =

rectangle (-8, 8) to (-5, 3)

plus

half of the rectangle (-5, 8) to (-3, 3)

3×5 + 1/2 × 2×5 = 3×5 + 1×5 = 15 + 5 = 20 yd²

area 2 =

half of the rectangle (-5, 8) to (-3, 3)

plus

rectangle (-3, 8) to (0, 3)

1/2 × 2×5 + 3×5 = 20 yd²

area 3 = area 4 =

half of the rectangle (-8, 3) to (0, 0)

1/2 × 8×3 = 4×3 = 12 yd²

B)

the total area of the kitchen is the sum of all 4 areas

20 + 20 + 12 + 12 = 64 yd²

we can also calculate this in general, seeing that the general dimensions of the kitchen are 8×8 : from (-8, 8) to (0, 0).

8×8 = 64 yd²

Answer:

h ≈ 259.81

Step-by-step explanation:

i used the hexagon calculator

Answer:

150 sqrt 3        = 259.8076  units^2

Step-by-step explanation:

Interior angles of hexagon = 120 degrees ....now look at the Right  1/2 of the hexagon...  see illustration....this is a trapezoid...

One base is 10 units

the other labelled 'base' is

 10 cos 60    +   10 cos 60   + 10    = 20 units

the height of this trapezoid is  10 sin 60 = 10 * sqrt(3)/2 = 5 sqrt(3)

   the area of this trapezoid is then   1/2 ( 10+ 20) * 5 sqrt (3)  = 75 sqrt 3

there are TWO of these trapezoids in the hexagon so total area is then

   2 * 75 sqrt 3

        150 sqrt 3

The steps that are used for creation of the graph of a polynomial function are listed below.

In Mathematics, the steps that are used for creation of the graph of a polynomial function are:

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Answer:

a

Step-by-step explanation:

I kilogram is 1000 grams

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]log\boxed{7}[/tex]

Step-by-step explanation:

According to no. of terms it's binomial since it has two terms , according to the power it's cubic function since the power of X is 3

PLEASE GIVE BRAINLIEST

Step-by-step explanation:

(7+9)/(-5-5)= 16/-10= -8/5

y + 9 = -8/5(x - 5)

y + 9 = -8/5x + 8

y = -8/5x - 1

Answer: The domain would be all real numbers.

Step-by-step explanation:

This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.

The value of x is 10√3 .

The missing figure is attached with the answer

A triangle is a polygon with three sides , three angles and three vertices.

A right angle is a triangle in which one of the sides of a triangle is equal to 90 degree.

As it is a right angled triangle therefore the trigonometric ratios are applicable

From the given figure sin 60 needs to be determine to find the value of x

sin x = Perpendicular / Hypotenuse

sin 60 = 5 / x

[tex]\rm \dfrac{\sqrt{3}}{2} = \dfrac{5}{x}[/tex]

x = 10√3

Therefore the value of x is 10√3

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Answer:

y=10

Step-by-step explanation:

Since this triangle has equal length sides, it is equilateral and also has equal measured angles. This means that each angle is 180/3=60 degrees.

To solve for y, we can do 5y+10=60. Simplifying, we get

5y=50

y=10.

Answer:

4

Step-by-step explanation:

So all the angles will have the same value. In a triangle all the angles will add up to 180, so each angle would have to be 60 degrees. So to know Y we need 6x+6=5y+10.  So subtract 10 from each side, then subtract 6x from each side to get 4=x

Answer:

Law of sines

Explanation:

The law of sines states that the ratios of the sines of angles and their opposite sides are equal for all angles inside a triangle.

Step-by-step explanation:

hope you can understand

By understanding and applying the concepts of dilation and quadratic functions, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

In this questions we know two quadratic equations of the form y = a · x². f(x) is known as the canonical function as a = 1 and g(x) is the consequence of dilating f(x) vertically by a factor of 5. Now we proceed to present graphically between the two functions.

In a nutshell, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

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Answer:

Subtraction will happen in this case.
14ft-5ft= 9ft
10 inches-8 inches= 2 inches
So, it grew 9ft. and 2 inches.

The limit in the given graph [tex]\lim_{x \to \ 2^{-} } f(x)[/tex] is 3 and [tex]\lim_{x \to \ 2^{+} } f(x)[/tex] is -2

Given graph of a function and we have to determine the limits when x tends to 2 minus and when x tends to 2 plus.

When we see the graph we can find that the graph is not of the linear function because it is not straight line.

From x=2 and onwards it gives values values of only -2 because it is parallel to x-axis at y=-2.From x=2 and leftwards it gives values values of only 3 because it is parallel to x-axis at y=3.

Hence the limit of the function whose graph is shown is 3 and -2.

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Answer:

sequence

Step-by-step explanation:

a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]

hope this helps!!

Answer: this, a set of number in an order, is called a sequence

fill in the blank: sequence

1) [tex]\overline{NQ}[/tex] is the bisector of [tex]\angle MNP[/tex] and [tex]\angle NMQ \cong \angle NPQ[/tex] (given)

2) [tex]\angle MNQ \cong \angle QNP[/tex] (a bisector splits an angle into two congruent angles)

3) [tex]\overline{NQ} \cong \overline{NQ}[/tex] (reflexive property)

4) [tex]\triangle MNQ \cong \triangle PNQ[/tex] (AAS)

Mikaela's team's score is 8.33

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Viktoria's team's score = 7

According to question,

= 2+ 7*2 = 16

so, Mikaela team score= 16/3+3= 8.33      

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The correct answer is option D which is ASA ( Angle - Side - Angle).

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);

Angles BAC and DCA are congruent (from the diagram);

AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent with the ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Therefore the correct answer is option D which is ASA ( Angle - Side - Angle).

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Answer:

one solution

(second option listed)

Step-by-step explanation:

We can that these two lines, each representing one equation/function, only meet at one specific value.

In a system of equations, we are essentially looking for a solution that works for both equations.

So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.

Because these lines only overlap at one point, this system of equations has one solution.

Answer:

1 solution (C)

Explanation:

They have one point of intersection.

As per the question, the answer is ∠CAB is congruent to ∠BAD.

An isosceles triangle named BDC is positioned within a circle. The segments of the circle they pass through are congruent because the faces of the triangles BC and BD are congruent, or identical.

Due to the triangle's faces BC and BD being identical and congruent

BC=BD

Additionally, the segments of the circle it goes across are congruent.

In the case of ΔBAC & ΔBAD

AC=AD= the radius of the circle

AB=BA

Thus, BAC is consistent with BAD according to SSS guidelines.

As a result, the central angles of the sections are also congruent; hence, BAD and CAB are congruent.

As a result, ∠BAD is equivalent to ∠BAC OR ∠CAB.

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Answer:

B on edge

Step-by-step explanation:

CAD

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:

x = 0

2 = a · 2⁰

a = 2

x = 0

3 = a · 2⁰

a = 3

x = 1

9 = a · 2

a = 9/2

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

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After doing simplification, the result that we got is the quadratic formula

x = [-b ±√(b² - 4ac)] / 2a.

The given statement can be explained with the following equation:

[x + (b/2a)]² = (b² - 4ac) / 4a²

Now, we will take the root on both the sides:

x + (b/2a) = ±√[(b² - 4ac) / 4a²]

x = -(b/2a) ± √[(b² - 4ac) / 4a²]

x = [-b ±√(b² - 4ac)] / 2a

The final equation resembles the quadratic formula.

So, the result of applying the square root property to this equation is that we get the quadratic formula after simplification.

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Answer:

Rs 85

Step-by-step explanation:

Cost of 5kgs of rice = Rs 425

Cost of 1 kg of rice = 425/5

= Rs 85

So, the cost of a kg of rice is Rs 85

Answer:

x= -10 , x= -5 , x=5

Step-by-step explanation:

we are given function as

x^3+10x^2-25x-250

We are given one of zero is x=-10

we can find all possible factors of 250

so, we will check zeros at x=-5 and x=5

At x=-5:

we can plug x=-5

At x=5:

we can plug x=5

So, other zeros are

x=-5 and x=5

All zeros are

x=-10 , x=-5 , x=5

The diameter of the cell model according to the taks content is; 14in.

Volume of paint = 615.44 square inches

π = 3.14

Volume of a sphere = 4πr²

615.44 = 4 × 3.14 × r²

615.44 = 12.56/r²

r² = 615.44 ÷ 12.56

r² = 49

r = 7

Hence, the diameter of the cell is; 2 × r = 2 × 7 = 14in.

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Answer:

perimeter = 12 z + 3

Explanation:

The perimeter of a shape is the sum of all the sides.

Therefore, we add all the sides' lengths together:

perimeter = (4z - 2)+(3z + 3)+(z + 5)+(4z- 3)

= 12 z + 3