Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

a. Triangle QRS is an equilateral triangle because QR = RS.

b. Triangle QRS is an isosceles triangle because QR = QS.

c. Triangle QRS is a scalene triangle because all sides have different lengths.

d. Triangle QRS is an isosceles triangle because QR = RS.

Answers

Answer 1

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

Jerome Found The Lengths Of Each Side Of Triangle QRS As Shown, But Did Not Simplify His Answers. Simplify
Answer 2

Answer:

D.

Step-by-step explanation:


Related Questions

HELP ASAPP... Find the volume of a cylinder with a radius of 5 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest tenth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

Answer:

1177.5 in³

Step-by-step explanation:

To find the volume of a cylinder, you need to do this:

V= π r² h

Substitute in 3.14, 5, and 15

V= 3.14 x 5² x 15

Multiply 5 by itself

V= 3.14 x 25 x 15

Multiply 3.14 and 25

V= 78.5 x 15

Multiply 78.5 x 15 to get your answer:

V= 1177.5 in³

I hope that this helps :)

There are some numbers missing in the arithmetic sequence. 2, ___, ____, ____, ___,___, 20
a) Find the common difference


b) Find missing terms

Answers

Common difference is 3 the missing terms are 5,8,11,14,17

The ratio of the male and female teachers is 3:4 in Aadarsh H.S. School. If the number
of male teachers is 12, find the number of female teachers.
d)
7​

Answers

Answer:

there is 16 female teachers because 4 * 4 is 14

male is eqaul to 12

so therefore female is eqaul to 3/4*12=9

Marshall knows that he burns 235 calories by walking for 30 minutes. This week, Marshall walked for 360 minutes. How many calories did Marshall burn by walking this week?

Answers

Answer:

2820 calories

Step-by-step explanation:

Since 30 can fit into 360, you can divide it.

360/30=12

12 is what you will multiply to the number of calories in 30 minutes.

235*12=2820

The product of a 3 and the sum of number and 5 is equal to 60

Answers

Answer:

3n + 5 =60

Step-by-step explanation:

Answer : n=55/3

129 times 6+1 pronto fast

Answers

Answer:

903

Step-by-step explanation:

Answer:

129 x 6=774

774+1=775

Step-by-step explanation:

Hope this helps

which subtraction expression does the number line model show ​

Answers

Answer:

13-+4

Step-by-step explanation:

Hi Krystal, when you submit this form, the owner will be able to see your name and email address,
1. A is located ( 1,-1) and B is located (4,4) Find the coordinates of point p that partition
AB in the ratio 1:4. 03
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Answers

Answer:

hi Krystal , I am Felicia

11/12 - (1/3 + 1/4) =?

Answers

Answer:

I won't put a step by step since I converted the equations into decimals which I don't think will help you.

Step-by-step explanation:

0.33 or -0.33 depends on which you look at it.

3y-4x=9
standard to slope

Answers

3y - 4x = 9

3y = 4x + 9

y = 4/3x + 3

Answer:

the answer would be m=4/3

What is the equation of the line that is perpendicular to the line y = 2x+5 and
passes through the point (-4, 2)?
O A. y = -1/2x+2
B. y = 2x + 6
O C. y = 2x-6
O D. y=-1/2x

Answers

Perpendicular equations have negative reciprocal gradients (so it’s gradient will be -1/2)

And if you draw a quick sketch of the lines A and D (they have the right gradients) then you can see which option is the best fit. I used desmos and option A passes through (-4,2)

Answer:

y= -1/2x

Step-by-step explanation:

perpendicular is the opposite slope so -1/2 is the opposite slope of 2y=mx+b to solve for b I was taught to plug in what you have so2= -1/2(-4)+b2=2+bsubtract 2 on both sides to get b=0

help please i only know it starts from "start"

Answers

Answer:

Step-by-step explanation:

Start

Translate up

Rotate counter clockwise

Translate diagonally down

Rotate clockwise

Translate left

which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
TIMED TEST WILL GIVE BRAINLIEST

Answers

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

[tex]3x - 4y = 6[/tex]

Subtract sides -3x

[tex] - 3x + 3x - 4y = - 3x + 6[/tex]

[tex] - 4y = - 3x + 6[/tex]

Divided sides by -4

[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]

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

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

[tex]slope = \frac{3}{4} \\ [/tex]

_________________________________

We have following equation to find the point-slope form of the linear functions.

[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]

Now just need to put the slope and the given point in the above equation.

[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]

Multiply sides by 4

[tex]4(y - 6) = 3(x - 4)[/tex]

[tex]4y - 24 = 3x - 12[/tex]

Plus sides 24

[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]

[tex]4y = 3x + 12[/tex]

Subtract sides -3x

[tex]4y - 3x = 3x - 3x + 12[/tex]

[tex]4y - 3x = 12[/tex]

And we're done....♥️♥️♥️♥️♥️

Please I need help, anyone?

Answers

Answer:

i do not know

Step-by-step explanation:

If a flagpole is 30 feet tall and Mai-Lin is
standing a distance of 15 feet from the flagpole, what
is the distance from her feet to the top of the flagpole?

Answers

Add the information given.

She is 15 feet away:

15 + ? = ?

The pole is 30 feet, and it is asking distance to the top.

15 + 30 = ?

15 + 30 = 45

Answer:

about 33.5 ft

Step-by-step explanation:

The distance from Mai-Lin’s feet to the top of the

flagpole is about 33.5 ft.


Yo yo Help a girl out LOL due today please help just need the answer <3

Answers

Answer: The answer is 19 hours

Step-by-step explanation:

Answer:

the correct answer is 19

Step-by-step explanation:

Solution to Y=3x-1
look at picture

Answers

Just plug in the first value for x and see if you get the second value!

The answer is (2,5)

5 = 3 x 2 - 1.

5 = 6 -1

5 = 5

Answer:

picture guide person

Step-by-step explanation:

picture, then guide, and then person ⇔∑ω

14. Jorge's brother is 4 less than 3 times his age. The sum of their ages is
24. How old is Jorge's brother? *
A 6 years old
B. 12 years old
C. 7 years old
O D. 17 years old

Answers

D. 17 years olddddddddddd

17 years old!!! Easyyy

Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
y = 4x – 2
y = 4x + 6
y = 4x + 2
y = 4x – 3

Answers

Answer:

y = 4x + 2

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

is square root 1/9 a rational number? Explain

Answers

Yes, a rational number is a number that can be expressed as a ratio of two integer numbers.

What is 7% tax of 20$ purchase

Answers

Answer:

$1.4

Step-by-step explanation:

[tex]7 \% \: of \: 20[/tex]

% means (/100)

[tex] \frac{7}{100} \times 20 \\ \\ = \frac{140}{100} = \frac{14}{10} \\ = 1.4[/tex]

$1.4

Have a nice day :)

0,4 Find the roots of the following quadratic equations
using the quadratic formula
1) 6a²x² - 7abx - 3b²=0, a is not equal to zero​

pls answer

Answers

Answer:

b = b2-4ac

= (-7ab)^2 -4 (6a^2)(-3b^2)

= 49a^2b^2 + 72a^2b^2

= 121a^2b^2

Now, x = (7ab +- root 121a^2b^2)÷2(6a²)

= (7ab +- 11ab ) ÷ 12a²

= ( 20ab)/12a² or 4ab/12a²

= 5/3ab or - 1/3ab .

So, these are its roots .

Step-by-step explanation:

please helpppppppppp

Answers

Answer:

the popularity keeps going up i wount give the euashions though i dont know them.

Step-by-step explanation:

Find (x+ 1) + (x + 1).

Answers

2x+2 that’s the answer hopefully I helped

Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by 910+(−710)+810+(−610)+⋯+310+(−110)+210 9 10 + ( − 7 10 ) + 8 10 + ( − 6 10 ) + ⋯ + 3 10 + ( − 1 10 ) + 2 10 . How much water is in the tank after 15 days? Write your answer as a decimal. gallon(s)

Answers

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

d(A-N)=Q solve for d

Answers

Answer: D = Q/A - N

Step-by-step explanation: u just divide both sides by A - N

solve the following equation (2) 2 p +6=12
2(x+4)=
12​

Answers

Answer:

2p equals 2 times 3 so 6 plus 6 equals 12. 2(xplus 4) equals 2 times 4 is 8 plus 4 equals 12

Step-by-step explanation:

12 Which numbers are irrational? Choose all that apply.
A √ 26
B 5.87
C √ 144
D 2.161161116...
E 2/3

Answers

option a and option d

Solve the equation, justify
each step with an algebraic
property
-(x - 6) = 4

Answers

Answer:

x=2

Step-by-step explanation:

Step 1_  −(x−6)=4

              −x+6=4(Distribute)

               −x+6=4

Step 2_       −x+6−6=4−6

                   −x=−2

Step 3_       −x    equals   -2

                    −1                   -1

x=2

Hope this helps :)

If angle 1 is 125 and angle 3 is 3x -1 what is x

Answers

Answer: X means you have to times

Step-by-step explanation: So you will have to do 3x3x3

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