algebra 2 please help!

The measure of each angle of this isosceles triangle is equal to 27°, 27°, and 126°.

An isosceles triangle can be defined as a type of triangle that has two (2) of its sides equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) angles that have the same measure or are equal in magnitude.

Let the variable x represent the angles that have the same measure or are equal in magnitude. Therefore, the sum of the measures of the angles of this isosceles triangle is given by this mathematical expression:

x + x + (45​° + 3x) = 180°.

5x + 45​° = 180°.

5x = 180° - 45​°

5x = 135°

x = 135°/5

x = 27°

Therefore, the measure of each angle of the isosceles triangle is given by:

First angle = 27°.

Second angle = 27°.

Third angle = 45​° + 3(27) = 126°.

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If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.

This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.

By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:

LP + PR = LR

LP = LR - PR

Substituting the given parameters into the formula, we have;

LP = 12 - 4

LP = 8.

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Complete Question:

Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

LP = 16 because 12 + 4 = 16 according to the addition property of equality.

LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.

PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.

PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

Answer: Lp = 8

Step-by-step explanation:

Got it right

The domain of the given function is -∞ < x < ∞.

So, the function is:

Now, the domain of the given function is:

The domain will therefore be -∞ < x < ∞.

Therefore, the domain of the given function is -∞ < x < ∞.

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Answer: 3150

Step-by-step explanation:

We know that 50×2%s is 100%, so 50×63 should result in the total amount of throws she attempts, which is 3150.

Answer:

Cone

Step-by-step explanation:

The Angles are all triangle-shaped, but the bottom is circle-shaped.

The angle-side-angle (ASA) Congruence theorem proves that

ΔABC and ΔPQR are congruent triangles.

We know that the angle-side-angle ASA Congruence theorem states that if two angles and the side between these angles of one triangle are equal to two angles and the side between then of another triangle then those two triangles are congruent.

In given triangles ABC and PQR,

∠ABC ≅ ∠PQR

BC ≅ QR

∠BCA ≅ ∠QRA

so, by ASA Congruence theorem ΔABC ≅ ΔPQR

Therefore, the angle-side-angle (ASA) Congruence theorem proves that

ΔABC and ΔPQR are congruent triangles.

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The relation between angle 1 and angle 2 is they are equal and corresponding angle.

What are parallel lines?

Two lines are said to be parallel when they do not intersect each other. We can also say that two lines that run along and meet at infinity are called parallel lines.

What are corresponding angles?

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines and the transversal.

Given, m and l are parallel line.

Hence, m and l satisfy the condition of parallel lines.

Therefore, the angle 1 and angle 3 are equal.

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The value a = 2 and b = 5 is makes the expression (5x²y²){-4xªy³) =−20xªyᵇ as true.

Expression:

An expression is set of numbers or variables combined using the operations +, -, * and /.

Given,

Here we have the expression (5x²y²){-4xªy³) =−20xªy°.

Now, we have to the value of a and b which make both equation as equal.

In order to get the value a and b, first, we have to solve the expression in the left hand side,

To solve this type of equation, the first step is to combine the like terms, then we get,

=> (5x²y²){-4xªy³)

=> (5 x -4) (x² xᵃ) (y² y³)

Now, we have to do the multiplication on it, then we get,

=> -20 xᵃ⁺² y²⁺³

=> -20xᵃ⁺²y⁵

Now, we have to equate both LHS and RHS, then we get,

=> -20xᵃ⁺²y⁵ = -20xᵃyᵇ

While we looking into the equation, we have identified that the value of a is 2 and the value of b is 5.

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Calculation

Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]

Find the function's x-intercept: x= 5

Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]

Find the function's y-intercept: y = [tex]-\frac{20}{9}[/tex]

The chart for : 4x-9y = 20

see the attachment

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The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction. x = 20 + 9y /4

Given

x, 4x - 9y = 20  

x = 20 + 9 /4 y

Steps

4x - 9y = 20

Add 9 y to both sides

4x - 9y + 9y = 20 + 9y

Simplify

4x = 20 + 9y

Divide both sides by 4

4x/4 = 20/4 + 9y/4

Simplify

x = 20 + 9y /4

Hence, The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction.

x = 20 + 9y /4

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Answer:

Using formula to calculate the circumference of wheel: c=d/n

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter c=100/55=20/11

Therefore, the circumference of her wheel is 1 9/11

Case 1: largest surface area: 2120 sq. in.

Case 2: smallest surface area: 1380 sq. in. of the wooden block.

For the given question, the dimensions of the wooden block are given.

Surface area of a cuboid is = 2lw + 2lh + 2 hw

Case 1: largest surface area.

To get the largest surface area, join the wooden cube along length 50 cm.

Total length = 50 + 50 + 50 = 150 inches.

Put in formula.

Surface area = 2×150×5 + 2×5×2 + 2×2×150

Surface area = 2120 sq. in.

Case 2: smallest surface area.

To get the smallest surface area, join the wooden cube along height 2 cm.

Total length = 2 + 2 + 2 =8 inches.

Put in formula.

Surface area = 2×8×50 + 2×50×5 + 2×5×8

Surface area = 1380 sq. in.

Thus, the smallest surface area of the wooden cube is found as  1380 sq. in.

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The correct question is-

There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 2 inches thick. If you glue them together , what is the largest and smallest outer surface area can get?

The inequality expression of the volume of the balloon is V < 4,400

From the question, we have the following statement:

The initial volume of the balloon is 4,400 cubic centimeters

Also, we understand that:

The balloon leaks out over time

This means that the volume of air in the balloon decreases over time.

So, we have the following representation

V = Less than the initial volume

Rewrite as

V < 4400

Hence, the volume of the balloon at any time after it starts leaking is V < 4,400

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The proof that shows that lines DC and AB are parallel is shown below.

The SSS congruence theorem states that two triangles that have three corresponding congruent sides are congruent to each other.

When two triangles are proven to be congruent triangles, invariably, we can state that the corresponding parts of both triangles are also equal to each other by CPCTC.

The following proof shows lines DC and AB are parallel lines:

Statement                                              Reasons                                                    

1. AB = CD                                             1. Given

AD = CB                                    

2. Line AC = Line AC                            2. Reflexive property

3. Triangle ADC ≅ Triangle ABC         3. SSS

4. Angle 1 ≅ Angle 4                             4. CPCTC

5. DC║AB                                              5. Converse of alternate interior ∠s theorem

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The relationship between the perimeter and the side length of the hexagons is proportional.

A proportional relationship is one that illustrates the constant between the data that are given.

In this case, when the side length is 2, the perimeter is 12. The constant is:

= Perimeter / Length

= 12 / 2

= 6

Also, when the length is 3, the perimeter is 18. The constant will be:

= 18 / 3

= 6

Since they have 6 as constant, it's a proportional relationship.

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a. The two numbers between which the solution to the equation lies are 0 and 1.

b. The value of the variable "s" is 13/20.

The equation given to us is  one fourth plus s equals 18 over 20. This can be expressed as;

¹/₄ + s = ¹⁸/₂₀

s = ¹⁸/₂₀ - ¹/₄

s = (18/20) - (5/20)

s = (18 - 5)/20

s = 13/20

The solution is a rational number. A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

We can determine two rational numbers such that the solution is in between them. A rational number smaller than the solution is 0. A rational number larger than the solution is 1. Hence, the solution lies between 0 and 1.

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Answer:

3/4

Step-by-step explanation:

Get into y=mx+b

Subtract 3x

4y=3x+36

Divide by 4

y=3/4x+9

Parallel= 3/4

Perpendicular= -4/3

c = 2.97r is the equation that describes the proportional relationship between r, the number of reams purchased and c, the total cost

Two variables have a proportional relationship if all the ratios of the variables are equivalent

In order to write an equation that describes the proportional relationship r, the number of reams purchased and c, the total cost, we need to write a proportional equation using the variables:

c α r                  (Note: α is the proportion symbol)

c = kr

k = c/r

Where k is the constant of proportionality

As shown in the image, you can see that 4 reams cost $11.88 and 6 reams cost $17.82

k = c/r

k = 11.88/4 = 2.97 or 17.82/6 = 2.97

c = kr

c = 2.97r

Therefore, the equation that describes the proportional relationship between r, the number of reams purchased and c, the total cost is c = 2.97r. Enter c = 2.97r in the box

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Answer:

x = 52°

y = 25°

z = 90°

Step-by-step explanation:

        We know there are 180 degrees in a triangle. The box represents 90 degrees.

90° + x + 38° = 180°

x + 128° = 180°

x = 52°

        Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.

90° + z = 180°

z = 90°

        Lastly, we will use the same process for angle x, but for angle y.

y + z + 65° = 180°

y + 90° + 65° = 180°

y + 155° = 180°

y = 25°

Another possible values for a and b are a = 12 and b = 4

A variation is a relation between a set of values of one variable and a set of values of other variables

Given that:  a is inversely related to the square of b, and a = 3 when bis

8.

This can be written as:

a α 1/b²

a = k/b²               (where k is  a constant)

k = ab²

since a = 3 and b = 8.

Thus, k = 3 × 8² = 3 × 64 = 192

For a value to be another possible value for a and b, they must give k = 192 when substituted into the equation k = ab²:

a = 4, b = 12: k = 4 × 12² = 576

a = 12, b = 4: k =  12 × 4² = 192

a = 8, b = 3:  k =  8 × 3² = 72

a = 2, b = 4: k =  2 × 4² = 32

a = 6, b = 4: k =  6 × 4² = 96

The values that produce k = 192 are a = 12 and b = 4. Therefore, another possible value for a and b is a = 12 and b = 4. So option B is the answer

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The students that will like exactly one of the two sports out of football and baseball is 200.

These are the fundamental set of set theory formulas. When there are two sets P and Q, the number of elements in one of the sets P or Q is denoted by n(P U Q). The number of elements in both sets P and Q is represented by the expression n(P ⋂Q). n(P U Q) is equal to n(P) + n(Q) - n (P Q).

Here,

F=140

B=144

F∩B=42

F-B=n(F)-n(F∩B)

=140-42

F-B=98

B-F=n(B)-n(F∩B)

=144-42

=102

So, the students that will like exactly one of the two sports,

=102+98

=200

There are 200 students who will only enjoy one of the two sports—football or baseball.

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Answer:

  2.4

Step-by-step explanation:

You want the average rate of change on the interval [-9, -4] for the graphed function.

The average rate of change (m) is the slope of the line between the points at the ends of the interval. For function f(x) on interval [a, b], this is ...

  m = (f(b) -f(a))/(b -a)

For the function f(x) on the interval [-9, -4], the average rate of change is ...

  m = (f(-4) -f(-9))/(-4 -(-9)) = (-4 -(-16))/5 = 12/5 = 2.4

The average rate of change of f(x) on [-9, -4] is 2.4.

With a net change of +0.72 yesterday's closing price was 19.81 and stock dividend yield for yesterday's closing price is 7.2%.

How to calculate the Dividend Yield?

To calculate dividend yield, all you have to do is divide the annual dividends paid per share by the price per share.

Dividend Yield = Annual Dividends Paid Per Share / Price Per Share

According to the given question:

Net change = today's price - yesterday's price

0.72 = 19.09 - yesterday's price

∴ Yesterday's price = 19.81

Stock dividend yield

= (1.43/19.81) x 100

= 7.2%

Therefore the stock yield of yesterday's closing price is 7.2%

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By using the concept of equation of line in slope intercept form, it can be obtained that

a)  x- intercept is 5

  This means, Priya has exhausted all her money by buying 5 comics

   y- intercept is 20

   This means, Priya had $20 before buying any comics

b) Slope = -4

   This means Priya's money has been decreasing by $4 after buying        one comics    

c)  Equation of line

     y = -4x + 20

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

x represents the number of comic books Priya buys at the store

y represents the amount of money (in dollars) Priya has after buying the comic books.

a)From the figure, it is clear that x- intercept is 5

  This means, Priya has exhausted all her money by buying 5 comics

   From the figure, it is clear that y- intercept is 20

   This means, Priya had $20 before buying any comics

b) The line passes through (5, 0) and (0, 20)

    Slope = [tex]\frac{20 - 0}{0 -5}[/tex] = -4

     This means Priya's money has been decreasing by $4 after buying

    one comics

c) Equation of line

   y - 0 = -4(x - 5)

   y = -4x + 20

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Complete Question

The figure has been attached-

Answer:

686 cm^2

Step-by-step explanation:

4(7)=28

7(7)=49

49 x 28= 1372

1372/2=686

hopes this helps

Considering the figure of a right angle triangle, the given length is the hypotenuse,. The unknown side x is calculated to be 6.86 cm

information given in the question

hypotenuse = 9.7 cm

opposite = x

adjacent =  x

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

opposite = adjacent

plugging the values as in the problem

let x be the required distance

9.7² = x² + x²

94.09 = 2x²

47.045 = x²

x² = 47.045

x = √47.045

x = 6.8589

x = 6.86 to 3 significant figures

side x is 6.86 cm

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An illustration of "Cluster sampling" is the practice of selecting a random sample of the city's gas stations, and then surveying every station's patrons.

As per the given question.

Thus, an implementation of "Cluster sampling" is the practice of randomizing sample of the city's gas stations, and thereafter surveying every station's patrons.

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Answer:

x = -1

Step-by-step explanation:

8 - 3x - 12 = 2x + 1

-3x - 4 = 2x + 1

-5 = 5x

x = -1

The value of x in the equation 8-3(x+4)=2x+1 is -1.

Given equation 8-3(x+4)=2x+1

= 8-3x-12 = 2x+1

= -3x-4 = 2x+1

= -5x = 5

= x = -1

We will first solve the bracket which is -3(x+4) which will give us -3x-12 and then we will add this to 8 which will give us -3x-4. Next, we will move all the constants to one side and the terms with x to one side which will give us -5x=5. Finally, we will divide the whole equation by -5 and we will get the answer of x as -1.

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The area of the floor of the convenience store would be = 212.5 ft²

The area of an object is defined as the total space that is being occupied by that object.

To calculate the area of the convenience store is to find the area of the shaded part which would be = area of square - area of the triangle.

Area of square = l ×w = 15 × 15 = 225ft²

Area of triangle= 1/2 base ×height

= 1/2 × 5 × 5

(Note: 15 - 10 = 5 ft from the diagram used as base and height)

= 25/2

= 12.5 ft²

The area of the convenience store;

= 225 - 12.5

= 212.5 ft².

Therefore, the area that is covered by the convenience store should be = 212.5ft².

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Answer:

$1925

Step-by-step explanation:

So your problem is $55,000 x 3.5%

You can rewrite this as:

55,000 x 3.5/100 or 55,000 x 35/1000

Now multiply. I will remove the /1000 for now.

55,000x35=1925000

Now, divide 1925000 by 1000.

1925/1000=$1,925