WILL GIVE BRAINLIEST

given: RTSU is a rectangle with vertices R (0,0), S (0, a), T(a,a) and U, (a,0) where a ≠ 0
Prove: RTSU is a square
look at image

Answers

Answer 1

The correct order of reasons that complete the proof about the rectangle and square is that D. definition of congruence, distance formula if two consecutive sides of a rectangle are congruent, then it's a square.

What is congruence?

It should be noted that congruence simply means an agreement or a correspondence between shapes.

In geoemtry, it should be noted that figures are said to be congruent if it is possible to superpose one of them on another.

It should be noted that the opposite sides of a rectangle are parallel while in a square, all the sides that are given are equal.

Therefore, the correct order of reasons that complete the proof about the rectangle and square is the definition of congruence, and that if two consecutive sides of a rectangle are congruent, then it's a square.

In conclusion, the correct option is D.

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Related Questions

Write the following in simplified radical form.
3/40

Answers

Answer:

3.42

Step-by-step explanation:

a display at an aquarium has sea stars to wolf eels in a ratio 4 : 5. It also has 5/8 as many rockfish as sea stars. there are 40 more wolf eels than rock fish. How many sea stars are there?

Answers

The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

= 64

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4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the diameter of the circle x² + y² - 4x - 4y +4= 0

Answers

The standard form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

How to find the standard equation of a hyperbola

In this problem we must determine the equation of the hyperbola in its standard form from the coordinates of the foci and a general equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the general equation of the circle into its standard form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (semi-major distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the standard form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

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NO LINKS!! Please help me with this problem.

What is the standard form of the equation of the ellipse?

Answers

Answer:

[tex]\dfrac{x^2}{49}+\dfrac{y^2}{36}=1[/tex]

Step-by-step explanation:

From inspection of the given graph, we can see that the center of the ellipse is the origin (0, 0) and the longest diameter of the ellipse is across the x-axis.

Therefore, we can use the general equation of a horizontal ellipse with its center at (0, 0):

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

where:

center = (0, 0)Vertices = (±a, 0)Co-vertices = (0, ±b)Foci = (±c, 0) where c²=a²−b²Major Axis: longest diameter (2a)Minor Axis: shortest diameter (2b)Major radius: one half of the major axis (a)Minor radius: one half of the minor axis (b)

From inspection of the ellipse:

Vertices = (-7, 0) and (7, 0)Co-vertices = (0, 6) and (0, -6)

Therefore, a = 7 and b = 6

Substitute the found values of a and b into the formula:

[tex]\implies \dfrac{x^2}{7^2}+\dfrac{y^2}{6^2}=1[/tex]

[tex]\implies \dfrac{x^2}{49}+\dfrac{y^2}{36}=1[/tex]

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The given figure shows a Horizontal Ellipse with its centre at origin, and as we observe the figure, we can conclude that :

Length of major axis is :

[tex]\qquad \sf \dashrightarrow \: 2a = 14[/tex]

[tex]\qquad \sf \dashrightarrow \: a = 7[/tex]

and that of minor axis :

[tex]\qquad \sf \dashrightarrow \: 2b = 12[/tex]

[tex]\qquad \sf \dashrightarrow \: b = 6[/tex]

Equation of Ellipse will be ~

[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {a}^{2} } + \dfrac{ {y}^{2} }{ {b}^{2} } = 1[/tex]

[ plug in the values ]

[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {7}^{2} } + \dfrac{ {y}^{2} }{ {6}^{2} } = 1[/tex]

[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {49}^{} } + \dfrac{ {y}^{2} }{ {36}^{} } = 1[/tex]

Otto builds and sells model cars. He made a graph to compare the number of days to the number of model cars. Three of the points form a proportional relationship, but one does not. Which point does not fit in the proportional relationship? Coordinate plane with Number of Days on the x-axis and Number of Model Cars on the y axis. 4 points are plotted in the plane: 2, 1; 4, 2; 6, 2; and 8, 4. A (2, 1) B (4, 2) C (6, 2) D (8, 4)
\
Need HELP ASAP

Answers

Answer:

I have attached a really rough graph!!

Step-by-step explanation:

The point that does not fit in the proportional relationship is (6,2) when we plot the other three points and join the points they will give us a staright line but the point (6,2) isnt lying on that staright line.. Therefore, it does not fit in the proportional relationship!

Answer:

(6,2)

Step-by-step explanation:

From atop a 15 m lighthouse, a man spots a dolphin 50 m out to sea. Find the angle of depression from the man to the dolphin, to nearest degree.

Answers

Answer:

16.7 degrees

Step-by-step explanation:

For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2

Answers

Answer:

g(-1) = 3, g(2) = 6, g(5) = 4

Step-by-step explanation:

Please refer to attached photo. (Apologies for the terrible handwriting.)

From here we can see,

g(x) = x + 4 applies for values x less than or equal to 2.

g(x) = 9 - x applies for values x more than 2 (which does not include 2.)

g(-1):

Since -1 < 2,

g(-1) = -1 + 4 = 3

g(2) = 2 + 4 = 6

g(5):

Since 5 > 2,

g(5) = 9 - 5 = 4

Find the interest rate for a principal of $6514 and charged $45415 in interest for 15 years.

Answers

Answer:

the answer is 46.47937775048613

What is the value of x when (f o g)(x) =-8

Answers

Answer:

I think the answer is 3.

Step-by-step explanation:

First make arrow diagram of function f and g.

Then show it as composite function of fog(x) in arrow diagram.

Then in range you find -8 whose domain as x is 3.

Cheese fries or Home fries

Answers

it gotta be cheese fries fa sho

What will it cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard?

Answers

$1078.56

What is the formula of the area of the rectangle?

The formula of the area of the rectangle = Length * Breadth

= 18*21 feet

= 378 feet^2

As cost of carpet is given in square yard. so convert area of rectangle in square yard.

1 square feet = 9 square yard

so, 378/9 = 42 square yard

Cost of carpet = $ 25.68 per square yard (given)

Total cost of rectangular floor = 25.68 * 42

= $1078.56 square yard

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$1078.56 is the cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard.

What will it cost to carpet a rectangular floor?

Given:

A rectangular floor measuring 21 feet by 18 feet.The carpets cost $25.68 per square yard.

Find:

Cost to carpet a rectangular floor.

Solution:

The formula of the area of the rectangle = Length * Breadth

= 18*21 feet

= 378 feet^2

As the cost of the carpet is given in square yard. so convert an area of the rectangle into a square yard.

1 square foot = 9 square yards

so, 378/9 = 42 square yard

Cost of carpet = $ 25.68 per square yard (given)

Total cost of rectangular floor = 25.68 * 42

= $1078.56 square yard

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how many lines of symmetry does this figure have

Answers

Answer:

14 and please Mark me brainlist

Answer:

There are four lines of symmetry in this figure.

Step-by-step explanation:

First look at the mainframe, it has 2 lines of symmetry. And if you look at it diagonally, it has another 2 more lines.

So therefore there is 4 lines of symmetry in this H figure.

Please mark me the Brainliest!

Point One = (0, -2)
Point Two = (-3,-5)
Slope-Intercept Form

Answers

Answer:

y = x - 2

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this formula, "m" represents the slope and "b" represents the y-intercept. Before writing our equation in this form, we first need to find the slope. The slope can be found using the point-slope formula:

y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope, "x₁" and "y₁" represent the values from Point One, and "x₂" and "y₂" represent the values from Point Two. You can find the slope by plugging the values from the points into the equation and then simplifying.

x₁ = 0 x₂ = -3

y₁ = -2 y₂ = -5

y₁ - y₂ = m(x₁ - x₂)

(-5 - (-2)) = m(-3 - 0)

-3 = m(-3)

1 = m

Now that we have a value for the slope, we can use the values from either one of the points to solve for the y-intercept (from the slope-intercept form equation).

m = 1

x = 0

y = -2

y = mx + b

-2 = (1)(0) + b

-2 = 0 + b

-2 = b

Therefore, the equation of the line in slope-intercept form is:

y = x - 2

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each statement with its contrapositive.

Answers

Option 4,option 6, and option 2 is the respective contrapositive to the statements given. This can be obtained by understanding what contrapositive is and converting the statements.

What is contrapositive? Contrapositive: A statement which is obtained by interchanging both the hypothesis and conclusion of a given statement after contradicting them. For "if p then q" the contrapositive is "if not-q,then not-p "For example,

Statement = If a figure is a square, then it is a quadrilateral.

Contrapositive = If a figure is not a quadrilateral, then it is not a square.

Here,

Statement 1: If two figures are congruent, then their corresponding sides are equal.

Contrapositive: If the corresponding sides of two figures aren't equal, then the two figures aren't congruent. (Option 4)

Statement 2: If two numbers are even, then their product is even.

Contrapositive: If the product of two numbers isn't even, then the two numbers aren't even. (Option 6)

Statement 3: If a figure is a pentagon, then the sum of its interior angles is 540°.

Contrapositive: If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon. (Option 2)

Hence Option 4,option 6, and option 2 is the respective contrapositive to the statements given.

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Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''. Which of the following statements is true for ΔABC and ΔA''B''C''?

Answers

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, left, right or down in the coordinate plane.

Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.

Hence:

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.

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I
23
12
N
L
12
23
O
K
M
18
18

Answers

Answer: [tex]\sqrt{407}[/tex]

Step-by-step explanation:

In this triangle, we know that [tex]IJ=46, IK=24, JK=36[/tex].

So, using the Law of Cosines in triangle IJK,

[tex]36^2 = 46^2 + 24^2 - 2(46)(24) \cos (\angle JIK)\\\\-1396=-2(46)(24) \cos(\angle JIK)\\\\\cos (\angle JIK)=\frac{349}{552}[/tex]

Using the Law of Cosines in the triangle LIK,

[tex](KL)^2 = 23^2 + 24^2 - 2(23)(24) \cos (\angle JIK)\\\\(KL)^2 = 23^2 + 24^2 - 2(23)(24)\left(\frac{349}{552} \right)\\\\(KL)^2 = 407\\\\KL=\sqrt{407}[/tex]

A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $10, 0.2 for $25, 0.01 for $30, and 0.004 for $75.
What are the odds that the ticket is worth at least $25?

Answers

Using the probability concept, the odds that the ticket is worth at least $25 are of 1:3.67.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering the probability, the odd is given by:

o = probability:(1 - probability)

From the given table, the probability that the ticket is worth at least $25 is:

p = 0.2 + 0.01 + 0.004 = 0.214.

Hence the odd is:

o = 0.214/(1 - 0.214) = 0.214/0.786 = 1:3.67.

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The function f and g are given by [tex]f(x)=x^2[/tex] and [tex]g(x)=-^1_2 x+5[/tex].

Let R be the region bounded by the x-axis and the graphs f and g as shown at the bottom. Also, I only need you to answer part b, I've already finished part a.

a) Describe how you would find the area of R.

[tex]R=18 \frac{2}{3}[/tex]

b) The region R is the base of a solid. For each y, where
0 < y < 4, the cross-section of the solid taken perpendicular to the y-axis is a rectangle whose base lies in R and whose height is 3y. Explain how you would write an expression that gives the volume of the solid.

Answers

As you've pointed out, R is a different region that I originally thought. The area of R can be computed using either

[tex]\displaystyle \int_0^2 x^2 \, dx + \int_2^{10} -\frac x2 + 5 \, dx[/tex]

[tex]\displaystyle \int_0^4 (10-2y)-\sqrt y \, dy[/tex]

Either way, you've gotten the correct area for part (a).

For part (b), we can use part of the integral with respect to [tex]y[/tex] above. The horizontal distance between the curves [tex]y=x^2[/tex] and [tex]y=-\frac x2+5[/tex] is obtained by first solving for [tex]x[/tex],

[tex]y=x^2 \implies x=\sqrt y[/tex]

[tex]y=-\dfrac x2+5 \implies x = 10-2y[/tex]

so the length of each cross section is [tex]10-2y-\sqrt y[/tex].

The height of each cross section is [tex]3y[/tex].

Then the volume of the solid is

[tex]\displaystyle \int_0^4 3y \left(10-2y-\sqrt y\right) \, dy = \boxed{\int_0^4 -6y^2 + 30y - 3y^{3/2} \, dy}[/tex]

The instructions don't say to evaluate, but if you're looking for practice the volume ends up being 368/5, or 73 3/5.

Evaluate 8xy+16y/5x

if x = 4 and y=-5.
A-42
B-7
C-23
D-12

Answers

Answer:

Step-by-step explanation:

substitute x = 4 , y = - 5 into the expression

[tex]\frac{8(4)(-5)+16(-5)}{5(4)}[/tex]

= [tex]\frac{-160-80}{20}[/tex]

= [tex]\frac{-240}{20}[/tex]

= - 12

what is the general direction of centurion from bronkhorspruit?

Answers

Answer:

Brock or separate is located nearly Westside to centure in gives best direction from the central only

0.1in has 4 threads how many threads are in 1 inch?

Answers

Answer:

Step-by-step explanation:

Set up a proportion

Inch/ threads = inch to threads

.1/4 = 1/x Cross multiple

.1x = 4 Divide both sides by .1

x = 40

PLS HELP I WILL GIVE YOU 100 POINTS… Question 4 (True/False Worth 4 points)
(07.07)
True or False?
When temperature rises, the number of people who go to the beach increases. Temperature is the independent variable in this situation.
True
False

Answers

Answer:

True

Number of people is dependent

Answer:

true because it's hots and people cool of by getting by getting the water

log a^x² - 9log a³√x simplify

Answers

Answer:

log(a^x^2-27(radicalx))

Step-by-step explanation:

Assuming you have written your question correctly, this is it.

An administer of a college believes that 40% students of the college work in part time. He
randomly surveyed of 2,512 students and finds that 1,298 of them work in part time, that is, about 51.7% of
the student being surveyed work in part time.
1.
Is the study observational or experimental?
2.
What is the population of interest?
3.
What is the parameter of interest?
4.
What is the sample in the study?
5.
What is the statistic involved?

Answers

See below for the response to each question

Is the study observational or experimental?

The study is experimental.

This is so because, the administer surveyed random college students

The population of interest

This is the total number of students in the college

Hence, the population of interest is the students in the college

The parameter of interest

This is the value that gives the required information.

Hence, the parameter of interest is the proportion of college students that work part-time

The sample in the study

This is the students that were randomly surveyed

Hence, the sample in the study is the 2,512 students that were randomly surveyed

What is the statistic involved

The statistic is the sample mean

Answers

Answer:

10 sidesangles total 1440°

Step-by-step explanation:

The formula for the total of interior angles can be used together with the given angle values to write an equation for the number of sides.

Setup

The total of interior angles of an n-sided polygon is 180°×(n -2). In the given n-sided polygon, two angles are 120° and (n -2) angles are 150°. The total of angles is the same either way it is computed:

2×120 +(n -2)150 = (n -2)180

Solution

Subtracting (n-2)150, we have ...

240 = 30(n -2)

8 = n -2 . . . . . . . . divide by 30

10 = n . . . . . . . . add 2

The polygon has 10 sides.

The total of interior angles is ...

angle sum = 180°×(10 -2) = 1440°

The sum of interior angles is 1440°.

Answer:

10 sides and

1440° total of interior angles.

Step-by-step explanation:

The number of degrees in a polygon (sum of interior angles) is:

(n - 2)×180

This is the total. Here, n is the number of sides (same as the number of angles)

In your question, 2 of the angles are 120° and the remaining angles are 150°.

If n is ALL the angles, then (n-2) is all the 150° angles because the other 2 are 120°

So we can write an equation:

Our polygon:

120°+120°+(n-2)150°

(n-2)180°

Combine like terms:

240+(n-2)150=(n-2)180

Use Distributive property.

240+150n-300=180n-360

Again, combine like terms.

300 = 30n

Divide.

10 = n

n is the number of sides (and angles).

Check:

Ten-sided shape:

(10-2)180

= 1440°

Our shape:

120°+120°+ 8(150°)

= 240° + 1200°

= 1440° Check!

Write the positive or negative number that best
represents the given information.
12 ft above sea level

Answers

Answer:

Step-by-step explanation:

Usually, above sea level is represented by a positive number and below sea level by a negative number.

12 ft above sea level = 12

1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1

Answers

Step-by-step explanation:

OK, let's assume it this way:

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+...+(n+1)!-n!=(n+1)!-1!=(n+1)!-1

and boom problem solved

2. Which of the following graphs show a function with domain 1 ≤ x ≤ 6? Select two that
apply.

Answers

Answer:

Graphs A and B

Step-by-step explanation:

Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.

Please answer ASAP need steps.

Answers

Answer:

The ANSWER is 1/2 x (3/5) : (9/15) (-6/4) : (4/1) = -3/16 = -0.1875

Step-by-step explanation:

Multiple: 1/2 * 3/5 = 1 · 3/2 · 5 = 3/10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 10) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three fifths is three tenths.

Divide: the result of step No. 1 : 9/15 = 3/10 : 9/15 = 3/10 · 15/9 = 3 · 15/10 · 9 = 45/90 = 45 · 1/45 · 2 = 1/2

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9/

15 is 15/9) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 45 gives 1/2.

In other words - three tenths divided by nine fifteenths is one half.

the result of step No. 2 * (-6/4) = 1/2* (-6/4) = 1 · (-6)/2 · 4 = -6/8 = -3 · 2/4 · 2= -3/4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 8) = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by minus six quarters is minus three quarters.

Divide: the result of step No. 3 : 4 = -3/

4 : 4 = -3/4 · 1/4 = -3 · 1/4 · 4 = -3/16

1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - minus three quarters divided by four is minus three sixteenths.

You reported to work one day and found out that the staffs are on strike over non payment of the previous year's bonus. Placards indicted the human resources director on this. Management is so worried about this situation and has asked you as the director of public relations to come out with a comprehensive report on the matter. What steps would you consider to undertake this assignment?

Answers

As the person that is in charge of public relations the steps that you would take to deal with the issue on ground would be:

Identify what the issue is.Set a priority based on the issueGet you position on the issueGet a way to respondTake actionMonitor the situation

What is public relations?

This is the term that is concerned with the part of management that is concerned with the maintenance of a positive image for an organization.

The director has to take proactive steps in order to take care of the issue in a timely and good manner.

WILL GIVE BRAINLIEST given: RTSU is a rectangle with vertices R (0,0), S (0, a), T(a,a) and U, (a,0) where a ≠ 0 Prove: RTSU is a square look at image

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WILL GIVE BRAINLIEST

given: RTSU is a rectangle with vertices R (0,0), S (0, a), T(a,a) and U, (a,0) where a ≠ 0
Prove: RTSU is a square
look at image