Congruent yes or no
Congruent? _______
If so, what property? ________

Casey is correct and he will get the correct solution.

We have given that,

ROBERT                         CASEY

5 1/8+ 2 1/3 = 7 1/2       -4 1/2+ 6 3/4= 2 1/4

Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same.

A statement that the values of two mathematical expressions are equal.

The denominator would have to be 24.

That would make the fractions 3/24 and 8/24.

If you added them together, it would not be able to simplify to 1/2.

Casey is correct.

-4 1/2 + 6 3/4 = 2 1/4 is correct

because 4 - 6 = 2.

In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator which would equal -2/4.

Now add -2/4 and 1/4 and you get 1/4.

To learn more about the equation visit:

https://brainly.com/question/1214333

#SPJ1

To solve this equation we must find the value of x using the other values provided in the operation.

An equation is a type of mathematical operation that is characterized by expressing an equality between two expressions, each of these expressions involved in an equation are called members and are separated by the equal sign.

On the other hand, equations are characterized by having elements or known and unknown values related by mathematical operations.

According to the above, it can be inferred that we must use an equation to calculate the value of x using the other values provided by the situation.

Learn more about equation in: https://brainly.com/question/10413253

#SPJ1

Answer:

Question 7:

Answer: f(2) = 4

Question 8: 3 + x

Answer:

32

Step-by-step explanation:

80/2 = 40

64/2 =  32

so she can make about 32

The linear equation for his balance over time is given by:

y = 20x + 100.

A linear function is modeled by:

y = mx + b

In which:

In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:

y = 20x + 100.

Hence:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

v=50

u=80

Step-by-step explanation:

RT=RS

v=50

u=180-50-50=80

Answer:

Step-by-step explanation:

11 + 5 = big hipo = 16

16 / x = x / 5

x*x = 16*5

x² = 80

x = [tex]\sqrt{80}[/tex] (do this lame calculus)

x = 4[tex]\sqrt{5}[/tex]

y² = (4[tex]\sqrt{5}[/tex])² - 5²

y² = (4[tex]\sqrt{5}[/tex]) * (4[tex]\sqrt{5}[/tex]) - 25

y² = 16 + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] + [tex]\sqrt{25}[/tex] - 25

y² = 16 + 8[tex]\sqrt{5}[/tex] + 5 - 25

y² = 16 + 8[tex]\sqrt{5}[/tex] - 20

y² = - 4 + 8[tex]\sqrt{5}[/tex]...

I give up..

Answer:

(1, 3) and (0, 0)

Step-by-step explanation:

y = mx + b

m is the slope which is 3 (given)

b is the y intercept

(x, y) → (2, 6)

6 = 3(2) + b

6 = 6 + b

b = 0

so the equation is y = 3x

one point:

y = 3(1)

y = 3 when x = 1

(1, 3)

y = 3(0)

y = 0 when x = 0

(0, 0)

Answer:

Below in bold.

Step-by-step explanation:

m< b = 180 - 36  

= 144 degrees  (adjacent angles.)

m < c = 144 degrees (opposite angles)

Answer:

a) [tex]w^{13} x^{5} y^{6}[/tex]

b) [tex]\frac{x}{3y^{6} }[/tex]

Step-by-step explanation:

a) [tex](w^{2} xy^{3} )^{2}(w^{3}x )^{3}[/tex]

1. Distribute the second power (2) outside the first pair of parenthesis:

[tex](w^{2(2)} x^{2} y^{3(2)} )[/tex]

= [tex]w^{4} x^{2} y^{6} (w^{3}x )^{3}[/tex]

2. Distribute the third power (3) outside the second pair of parenthesis:

[tex](w^{3(3)} x^{3} )[/tex]

= [tex]w^{4} x^{2} y^{6} w^{9} x^{3}[/tex]

3. Combine like terms:

[tex]w^{13} x^{5} y^{6}[/tex]

--------------------------------------------

b) [tex]\frac{2x^{2} y^{5} }{6xy^{11} }[/tex]

1. Factor the number 6 (= 2 · 3):

[tex]\frac{2x^{2} y^{5} }{2(3)xy^{11} }[/tex]

2. Cancel the common factor (2):

[tex]\frac{x^{2} y^{5} }{3xy^{11} }[/tex]

3. Cancel out [tex]xy^{5}[/tex] in the numerator an denominator:

[tex]\frac{x}{3y^{6} }[/tex]

hope this helps!

Answer:

25

Step-by-step explanation:

When answer questions about unique combinations, there are usually two ways people go about finding the solutions.

First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.

The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.

So,

5 runners * 5 lanes = 25 possible combinations for each lane and runner

The number of unique ways that the runner can be arranged in 5 lanes for a race is 120.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Total number of runners = 5

Total number of lanes = 5

Number of ways that 5 runners can be arranged = 5! = 120

Hence the number of ways is 120.

Learn more about Combinations here :

https://brainly.com/question/9843640

#SPJ2

A reduction means that the original figure is made smaller.

An englargement means that the original figure is made larger.

The new figure (shown by the ' next to each letter) is smaller than the original. Therefore, the dilation was a reduction.

Hope this helps!

Answer:

2/5

Step-by-step explanation:

Find two integer coordinate sets  ( use the two points labelled)

slope = m = (y1-y2)/(x1-x2) =

                = ( 1 - -1 ) / (3- - 2) = 2/5

  (NOTE: it does not matter which point you choose to be  x1,y1  or x2,y2 )

Answer:

Center: (-7, -4)

radius = 4

Explanation:

Circle formula:

(h, k) denotes the center of the circle, "r is radius"

Rewrite the following equation in standard form:

From this identify:

General equation

(x-h)²+(y-k)²=r²

So

Center=(-7,-4)

Radius=4

Answer:

The answer is D she paid 38,400

Step-by-step explanation:

30,000 + 8400 = 38,400

Answer: The answer is (A) ∠T.

Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

Answer:

the answer is 36 gallon

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

The new price of pizza when the quantity sold is increased to 250 is $12.45.

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

Percentage change in quantity demanded = (250 / 200) - 1 = 25%

Percentage change in price = 25% / 1.5 = 16.67%

New price = (0.1667 x 15) - 15 = $12.45

To learn more about price elasticity of demand, please check: https://brainly.com/question/18850846

#SPJ1

Answer:

$13.50.

Step-by-step explanation:

80% = 0.80 as a decimal fraction.

The marked up price

= 7.50 + 0.80 * 7.50

= $13.50.

so the new price will just be 7.5 plus 80% of 7.5

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 7.50}}{\left( \cfrac{80}{100} \right)7.50}\implies 6\hspace{5em}\underset{selling~price}{\stackrel{7.50~~ + ~~6}{13.50}}[/tex]

Answer: c

Step-by-step explanation:

C is the only that gave us a single outcome so it’s a simple event

So

Let's see

#B

So

We need base

Answer:

a) 67°

b) 2.6 ft

Step-by-step explanation:

This problem can be modeled as a right triangle (see attachment 1), where the wall and the ground are the legs, and the ladder is the hypotenuse. Therefore, we can use the sine trig ratio to find the angle.

Trig Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \sin(x)=\dfrac{9.2}{10}[/tex]

[tex]\implies \sf x=\sin^{-1}\left(\dfrac{9.2}{10}\right)[/tex]

[tex]\implies \sf x=67^{\circ}\:(nearest\:degree)[/tex]

(see attachment 2)

Let y be the distance the foot of the ladder and the foot of the building

We can find y by using the cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \cos(75^{\circ})=\dfrac{y}{10}[/tex]

[tex]\implies \sf y=10\cos(75^{\circ})[/tex]

[tex]\implies \sf y=2.6\:ft\:(nearest\:tenth)[/tex]

Answer:

3

Step-by-step explanation:

first put them in order

1 1 2 3 3 4 5

then cancel them down go from the front to the back so go like

1 then 5 then 1 again then 4 and etc

u would then end up with the last two numbers which is 3 and 3. if u had numbers like 5 and 7 u would have to find the number in the middle of which would be 6. in the case the two numbers you are left with is 3 and 3 since there both the same the answer would be 3

hope this helped :)

Answer:

x = 11

Step-by-step explanation:

All the sides of a rhombus are equal, so you can set the equations equal to one another.

2x + 46 = 7x - 9

Subtract 2x from both sides

46 = 5x - 9

Add 9 to both sides

55 = 5x

Divide both sides by 5

x = 11

Mark my answer as the brainliest if it helped you out!

Answer:

√20 =4.47

Area =4.47*4.5

Area =20 unit ^2

Answer:

7/5

Step-by-step explanation:

3x + 5 + 2x - 12 = 0

5x - 7 = 0

5x = 7

x = 7/5