Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why or why not?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The sum of -1 3/4 and 2 1/2:

- 1 3/4 + 2 1/2 = 2 1/2 - 1 3/4

The difference between 2 1/2 and 1 3/4:

2 1/2 - 1 3/4

This is same as well as:

- a + b and b - a
Answer 2

Answer:

[tex]yes...his \: \: statement \: \: is \: \: correct[/tex]

Step-by-step explanation:

Sum of the given 2 numbers

[tex] - 1 \frac{3}{4} + 2 \frac{1}{2} \\ - \frac{7}{4} + \frac{5}{2} \\ - \frac{7}{4} + \frac{5 \times 2}{2 \times 2} \\ - \frac{7}{4} + \frac{10}{4} \\ \frac{ - 7 + 10}{4} \\ = \frac{3}{4} [/tex]

Difference between the given 2 numbers

[tex]2 \frac{1}{2} - 1\frac{3}{4} \\ \frac{5}{2} - \frac{7}{4} \\ \frac{5 \times 2}{2 \times 2} - \frac{7}{4} \\ \frac{10}{4 } - \frac{7}{4} \\ \frac{10 - 7}{4} \\ = \frac{3 }{4} [/tex]

So, It's clear to you that,

sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4.

Hope this helps you.

Let me know if you have any other questions :-):-)


Related Questions

Find which is the better buy (lower
cost per ounce) by finding each unit
price. Round to two decimal places if
necessary
Shampoo:
A. $7.99 for 29.2oz
B. $5.99 for 13.5oz

Answers

Answer:

B

Step-by-step explanation:

1) Divide the oz per shampoo bottle by the cost

2) which answer is lower

29.2÷7.99=3.65

13.5÷5.99=2.25

The exterior angles of a pentagon are 115° , 2x° , 3x°, x° and x° . Calculate the value of x.

Answers

Answer:   x = 35

Step-by-step explanation:

Sum of the exterior angles of a pentagon = 360

              ⇒   115 + 2x + 3x + x + x = 360      

                                   [simplify the x terms and subtract 115 from both sides]

                                                  7x = 360 - 115   [divide both sides by 7]            

                                            x = 35

A local maximum of the function f(x) occurs for which x-value?

Answers

Answer:

-4

Step-by-step explanation:

the highest f(x) value on the table is at -4 on the x column

can someone please help with this? it’s the last one i need for today thanks

Answers

Answer:

243x32=7776

546x12=6552

312x73=22776

Step-by-step explanation:

Answer:

243x32=7776

546x12=6552

312x73=22776

Step-by-step explanation:

I really hope this helped you out!

13 b pls help........​

Answers

Answer:

300 cm

Step-by-step explanation:

Multiply 6cm by 50

HELPPPPPPPP I WILL MARK BRAINLIEST

Answers

Answer:

52.8

Step-by-step explanation:

i think this is right

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

Answer:

11.2 mi

Step-by-step explanation:

1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.

[tex]9^2 + b^2 = 14.4^2[/tex]

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](9*9)+b^2 = 14.4 * 14.14[/tex] [tex]81 + b^2 = 207.36[/tex]  [tex]b^2 + 81 = 207.36[/tex]

Step 2: Subtract 81 from both sides.

[tex]b^2 + 81 - 81 = 207.36-81[/tex] [tex]b^2 = 126.36[/tex]

Step 3: Take the square root of both sides and round to the nearest tenth.

[tex]\sqrt{b^2} = \sqrt{126.36}[/tex] [tex]b = \sqrt{126.36}[/tex] b ≈ 11.2

Therefore, x = 11.2 mi.

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (14,4)² - (9)²

x² = 207,36 - 81

x² = 126,36

x = 11,2mi✔

Find the equation of the quadratic function given the vertex and a point on the parabola.

v= (3,0), p=(1,4) ​

Answers

Answer:

y = x² - 6x + 9

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (3, 0 ) , then

y = a(x - 3)² + 0

To find a substitute (1, 4) into the equation

4 = a(1 - 3)² = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

y = (x - 3)² = x² - 6x + 9

100 points.

My teacher asked for me to specify which two theorems I used. And I don't know. Here is my work can someone help please.


Isosceles Right Triangle Reflection to prove ASA Congruence


1. Answer the following questions:
A. What line of reflection did you choose for your transformation?
- I used the y-axis as my line of reflection.
B. How are you sure that each point was reflected across this line?
- I am sure because the sides are all opposite, but the numbers stayed the same.
C. What reflection rule did you apply to your triangle?
- (x, y) ➟ (-x, y)

2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.

3. Did your triangle undergo rigid motion? Explain why.
- Yes, it did. It did because the distance and position stayed the same while the points and the plane moved.

Answers

Answer:

Actually you did everything right

Step-by-step explanation:

yes

This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.

Types of triangles and it's properties.

An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.

The hypotenuse will be [tex]\sqrt{2}[/tex] times of the equal sides.

A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation  of 180° along x axis.

B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.

C. Rotaion along X-axis by 180°.

Learn more about Triangles and It's properties here :

https://brainly.com/question/9872652

#SPJ2

Help me pretty please :(

Answers

Answer 11pi/3
9pi/3+2pi/3=11pi/3

Answer:

[tex]\frac{11\pi }{3}[/tex] ≈

11.519173063

Step-by-step explanation:

3[tex]\pi[/tex] + [tex]\frac{2\pi }{3}[/tex]

To add or subtract expressions, expand them to make their denominators the same. Multiply 3[tex]\pi[/tex] times [tex]\frac{3}{3}[/tex].

[tex]\frac{3 x 3\pi }{3}[/tex] + [tex]\frac{2\pi }{3}[/tex]

Since [tex]\frac{3x3\pi }{y3}[/tex] and [tex]\frac{2\pi }{3}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{3 x 3\pi + 2\pi }{3}[/tex]

Do the multiplications in 3×3π +2π.

[tex]\frac{9\pi + 2\pi }{3}[/tex]

Combine like terms in 9π+2π.

[tex]\frac{11\pi }{3}[/tex]

6(x-3)+10=2(4x-5) pls help

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]6\left(x-3\right)+10=2\left(4x-5\right)[/tex]

We'll use the distributive property to multiply 6 by (x-3):

[tex]6x-8 +10=2(4x-5)[/tex]

*Distributive property*, multiply 2 by (4x-4)

[tex]6x-8=8x-10[/tex]

Add 8 from both sides:

[tex]6x-8+8=8x-10+8[/tex]

[tex]6x=8x-2[/tex]

Subtract 8x from both sides:

[tex]6x-8x=8x-2-8x[/tex]

[tex]-2x=-2[/tex]

Divide both sides by -2:

[tex]\cfrac{-2x}{-2}=\cfrac{-2}{-2}[/tex]

[tex]x=1[/tex]

_____________________________

please help it’s for geometry

assume lines p and q intersect to form adjacent angles 1 and 2.

if m<1 = (4x-3) and m<2 = (3x+8). find the value of x such that <1 is supplementary to <2

Answers

Answer:

x=25

Step-by-step explanation:

they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.

Answer:

Step-by-step explanation:

What is the domain of 3x^2-x-2

Answers

Answer:

All real numbers

Step-by-step explanation:

There is no real number that makes the expression undefined, therefore the domain would be all real numbers.

What is 3n^2 + 12n - 11 = 0

Answers

Answer:

n= plus or minus (+-) square root 69/ 3 -2

Step-by-step explanation:

Answer:

n = -2[+/-] (2 [tex]\sqrt{69}[/tex])/3

Step-by-step explanation:

in other words, the answer is

n=0.768875

and

n = -4.76887

What is the zero of the function

Answers

Answer:

A. -5

Step-by-step explanation:

A zero is the same as the x-intercept, or the point that intersects the x-axis

Lucy earns 1525.00 a week. She sets aside 15% of this for savings. how does she save in a year?

Pls what's the answer :) ​

Answers

Answer:

11,895 is what she would save in a year

Please help me solve this ASAP

Answers

Answer:

2/5 or .4 as a decimal

Step-by-step explanation:

we can't do anything in the Parentheses so we distribute the -2.5 giving us the equation

-10x+10=6

we subtract both sides by 10

so now our equation is

-10x=-4

we divide both sides by -10

this leaves us with -4/-10 which is simplified to 2/5 or .4 as a decimal

Can someone please help

Answers

Answer:

63

Step-by-step explanation:

A median bisects the side that it is drawn to, so

DM = ME4x - 10 = 3x + 5x - 10 = 5x = 15

So, FN = 4(15) + 3 = 63.

Once again, since a median bisects the side it is drawn to, NE = 63.

Please help me in solving for x and y

Answers

for vertical angles they're equal to each other.

thus,

(7x + 30)° = (11x - 24) °

54 = 4x

x = 13.5°

and

(17y - 4) ° = (5y + 38) °

12y = 42

y = 3.5°

Please solve this problem... I will mark you brainliest

Answers

m∠AEB = 124°m∠BEC = 56°m∠CED = 124°m∠DEA = 56°

Step-by-step explanation:

4x = 70 - x

4x + x = 70

5x = 70

x = 14

m∠DEA = m∠BEC = 4x

m∠DEA = m∠BEC = 4(14)

m∠DEA = m∠BEC = 56°

m∠AEB = m∠CED = [360 - 2(56)] ÷ 2

m∠AEB = m∠CED = [360 - 112] ÷ 2

m∠AEB = m∠CED = 248 ÷ 2

m∠AEB = m∠CED = 124°

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
length: ft
Х
5 ?
width:
ft

Answers

Let width be x

length=4x

ATQ

[tex]\\ \sf\longmapsto 2(x+4x)=70[/tex]

[tex]\\ \sf\longmapsto 5x=35[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

Width=7ftLength=7(4)=28ft
[tex]\sf{length=28~ft }[/tex][tex]\sf{width=7~ft}[/tex]

Step-by-step explanation:

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 70 ft,

let the width =x

length =4width=4x

According to the question,

the perimeter of the rectangle is 70 ft

2(length+width)=perimeter 2(4x+x)=702(5x)=7010x=70x=70/10x=7

Therefore:-

width =x=7ft

length =4x=4×7=28ft

There are 268 lockers at Kortright Hills which are numbered from 1 to 268. All the locker doors are shut. On the first day of school, imagine that there are 268 students waiting out.

• The first student goes in and opens all the locker doors.
The second student goes in and closes every other locker door, starting with locker 2.

The third student goes in and changes every third locker, starting with locker 3 (If the do
open, it is closed. If the door is closed, it is opened.

The fourth students goes in and changes every fourth locker, starting with locker 4.

· This continues for all 268 students.

After all 268 students have entered the school, which locker doors will be open?

Answers

Answer:

289 student for the party them one mother say where you went that their mother where you want a brother se usse lion and the world I say diesel OK will die and back

If a car travels 32.5 miles in 1.5 hours, than how long will it take to travel 26 miles at this speed?

Answers

Answer:

Is this for math?

Step-by-step explanation:

A rectangle is 12cm long and 5cm wide. Find the size of the angle marked x.

Answers

Answer:

22.61°

Step-by-step explanation:

What is the sum to (-2)(3)

Answers

Hello there!

-6 is the answer.

If we multiply a negative number times a positive number, we will get a positive number.

Hope this helps!

[tex]GraceRosalia[/tex] is here to help

plz help will mark as brainliest​

Answers

i am pretty sure it is B because x is the slope in a graph and 1 can be 1/1 and parrarel means opposite so opposite of x axis is y.
opposite of 1/1 on x axis is opposite of 1/1 on y

needs the answers quick please​

Answers

..Step by step explanation..1.

let the interior angles of the given triangle be angle a b c respectively.

116+a=180 (Sum of angles on a straight line.)

a=180-116

a=64

.......

112+b=180(Sum of angles on a straight line.)

Sum of angles on a straight line.)b=180-112

b=68

....

angle a +b+c=180 (Sum of angles of a triangle)

64+68+c=180

c=180-132

c=48

.,....

angle c +X =180(Sum of angles on a straight line.)

48+X=180

X=132

Therefore the value of X is 132.

2.

solution,

Let the remaining interior angle of the given triangle be y.

Then,

y+108=180(Sum of angles on a straight line.)

y=72

Again,

2x+X+y=180(Sum of angles of a triangle)

3x+72=180

3x=108

X=108÷3

X=36

Therefore the value of X is 36.

3.

solution,

let the remaining interior angle of the given polygon be a and b .

Then,

100+b=180(Sum of angles on a straight line.)

b=80

......

Again,

a+b+110+90=360(Sum of interior angle of the polygon)

a+80+200=360

a+280=360

a=80

.....

a+X=180(Sum of angles on a straight line.)

80+X=180

X=100

Therefore the value of X is 100.

4.

solution,

The given triangle is an isosceles triangle.So their base angles are equal .

43+43+X=180(Sum of angles of a triangle)

X=180-86

X=94

Therefore the value of X is 94.

5.

solution,

Opposite angles of a parallelogram is equal

So ,

X=125

Therefore the value of X is 125.

6.

solution,

Let the remaining interior angle of the triangle be a .

Then,

a+117=180 (Sum of angles on a straight line.)

a=63

Now,

a+X+83=180(Sum of angles of a triangle)

63+83+X=180

146+X=180

X=34

Therefore ,the value of X is 34.

Plz mark me brainest .Thank you .

In a quadratic function, the axis of symmetry and the vertex
value.
share the same x-
O Always
O Sometimes
O Never

Answers

Always. The axis of symmetry will always have the same x value as the vertex in a up or down opening parabola.

a remote control car costs $60. it is reduced to $45 in the sale. by what percentage was the price reduced

Answers

Answer:

25%

Step-by-step explanation:

Answer:

27%

Step-by-step explanation:

It was reduced by 27% because you get the 60 as 100% and 45 as 75% and you’ll get your answer.

Please answer the following 2 images correctly and don't answer if you don't know

Answers

Answer:

A) Not congurt

B) ASA

C)

D)

Step-by-step explanation:

Thats all i know

Answer:

Step-by-step explanation:

a)  ASA congruent    -> Two angles and included side are congruent

b) SSS congruent       -- > three sides are congruent

c) Not congruent.

d) HL        --> In a right angle triangle, base and hypotenuse are congruent.

23)

    1)Q is the midpoint of PT & RS              Given

   2) PQ ≅ TQ                                             Definition of midpoint

   3) ∠PQR ≅ ∠TQS                                    Vertical angles are congruent

   4) RQ ≅ SQ                                              Definition of midpoint

   5) ΔPQR ≅ ΔTQS                                     SAS congruent

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