Sally examined the three triangles pictured below. What is a possible conjecture

9514 1404 393

Answer:

  8m³ -4m² +3m

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. Here, you're given the perimeter and two of the sides. The third side will be the length that makes up the difference.

  P = side 1 + side 2 + side 3

  18m³ +2m² -m = (5m³ +3m² -2m) +(5m³ +3m² -2m) + side 3

  18m³ +2m² -m = (10m³ +6m² -4m) + side 3 . . . . . collect terms

  18m³ +2m² -m - (10m³ +6m² -4m) = side 3 . . . . . subtract (10m³ +6m² -4m)

  m³(18 -10) +m²(2 -6) +m(-1 +4) = side 3 . . . . . . . . . group like terms

  8m³ -4m² +3m = side 3

Answer:

1/2 = 1

3/4 = 1.5

0.875 = 1 3/4

1 = 2

1.25 = 2 1/2

Step-by-step explanation:

The solution is

Cups of sugar = 1/2 cups , Cups of flour = 1 cup

Cups of sugar = 3/4 cups , Cups of flour = 1 1/2 cups

Cups of sugar = 7/8 cups , Cups of flour = 1 3/4 cups

Cups of sugar = 1 cup , Cups of flour = 2 cups

Cups of sugar = 5/4 cups , Cups of flour = 2 1/2 cups

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of cups of sugar = S

Let the number of cups of flour = F

Now , the equation will be

1/2 cups of sugar will result in = 1 cup of flour

So , the ratio of S : F = 1 : 2

Now ,

3/4 cups of sugar will result in = 2 x 3/4 cups of flour

3/4 cups of sugar will result in = 6/4 cups of flour

3/4 cups of sugar will result in = 3/2 cups of flour

Now ,

S cups of sugar will result in = 1 3/4 cups of flour

S cups of sugar will result in = 7/4 cups of flour

S cups of sugar = ( 1/2 ) ( 7/4 ) cups

S cups of sugar = 7/8 cups

7/8 cups of sugar = 1 3/4 cups of flour

Now ,

1 cup of sugar = 2 x 1 cups of flour

1 cup of sugar will result in = 2 cups of flour

Now ,

S cups of sugar will result in = 2 1/2 cups of flour

S cups of sugar = 5/2 cups of flour

S cups of sugar = ( 1/2 ) x ( 5/2 ) cups

S cups of sugar = 5/4 cups

5/4 cups of sugar = 2 1/2 cups of flour

Hence ,

Cups of sugar = 1/2 cups , Cups of flour = 1 cup

Cups of sugar = 3/4 cups , Cups of flour = 1 1/2 cups

Cups of sugar = 7/8 cups , Cups of flour = 1 3/4 cups

Cups of sugar = 1 cup , Cups of flour = 2 cups

Cups of sugar = 5/4 cups , Cups of flour = 2 1/2 cups

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Answer:

7 coats

Step-by-step explanation:

they purchased 7 coats and 5 sweaters

D. no solution

Because they never found each other, the point they cross on is the solution.

Answer: D

Step-by-step explanation: it just is

Given:

[tex]\dfrac{5}{6+2i}[/tex]

To find:

The  quotient in the form a + bi.

Solution:

We have,

[tex]\dfrac{5}{6+2i}[/tex]

Multiply numerator and denominator by 6-2i.

[tex]=\dfrac{5\times (6-2i)}{(6+2i)\times (6-2i)}[/tex]

[tex]=\dfrac{5(6)+5(-2i)}{6^2+(2i)^2}[/tex]

[tex]=\dfrac{30-10i}{36+4i^2}[/tex]

[tex]=\dfrac{30-10i}{36+4(-1)}[/tex]    [tex][\because i^2=-1][/tex]

On further simplification, we get

[tex]=\dfrac{30-10i}{36-4}[/tex]

[tex]=\dfrac{30-10i}{32}[/tex]

[tex]=\dfrac{30}{32}-\dfrac{10i}{32}[/tex]

[tex]=\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex]

Therefore, the form a+bi is [tex]\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex], where, [tex]a=\dfrac{15}{16}[/tex] and [tex]b=(-\dfrac{5}{16})[/tex].

Answer:

$17.60

Step-by-step explanation:

Jackie went to the store and bought 2 1/4 pounds of apples at $5 per pound

1 pounds = $5

2 1/4 pounds = x

x = 2 1/4 × $5

x = 9/4 × $5

x = $45/4

x = $11.25

9 pounds of pears at $2.35 per pound.

1 pound = $2.35

9 pounds = x

x = 9 × $2.35

x = $21.15

Total amount that she spent =

$11.25 + $21.15

= $32.40

If she paid with a $50 bill, how much change did she receive?

The change she received =

$50 - $32.40

= $17.60

The measure of the angle m∠J is  35°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.

Consider the triangle KJL,

The line KM is perpendicular to the line JL and M is the midpoint of the line JL.

Therefore, the angle KMJ will be equal to 90°.

Now, we have the angle KJM is equal to 55°.

We know the sum of all interior angles of a triangle is 180°.

So,

In triangle JKM,

∠JKM + ∠KJM + ∠KMJ = 180°

∠JKM + 55° + 90° = 180°

Subtracting 90° from each side of the equation.

∠JKM + 55° + 90° - 90° = 180° - 90°

∠JKM + 55° = 90°

Subtracting 55° from each side of the equation.

∠JKM + 55° - 55° = 90° - 55°

∠JKM = 35°

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Answer:

350

Step-by-step explanation:

Answer:35

Step-by-step explanation:

Answer:

Step-by-step explanation:

Claire................42 5/8

grace.............39 5/3

the team throw 42 5/8 + 39 5/3=

lets add first the 42+39=81

5/8+5/3  common denominator is 24

15/24+40/24=55/24=2 7/24

81+ 2 7/24=83 7/24

Answer:

Claire - 42 5/8

grace - 39 5/3

the team throw 42 5/8 + 39 5/3=

lets add first the 42+39=81

5/8+5/3  common denominator is 24

15/24+40/24=55/24=2 7/24

81+ 2 7/24=83 7/24

Step-by-step explanation:

The person above is correct. Have a nice day :]

Answer:

B)

Step-by-step explanation:

for a rectangle, the slopes of intersecting must be perpendicular to each other, for 90 degree angles:

slope of AB: -0.5

slope of BC: 2

We can see that the slopes are perpendicular, so yes

we can also see that the slopes of opposite sides are parallel:

slope of CD: -0.5

slope of AD: 2

Negation of square root is never considered a number while rest any number comes under the category of the Real number

The Numbers here are divided into two categories: Real and Imaginary. In addition to being divided into Rational and Irrational numbers. In the category of rational numbers, fractions and integers  fall under the category. The decimal numbers which are unconvertable to the fraction  form are known as irrational numbers. This means that here in the question √-15 = 15i(where i = √-1, the imaginary number)

Hence √-15 is not considered a number while  -1.96312... comes under the category of a Real Number.

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Answer: 32% is equal to 32/100.

Step-by-step explanation: This is because 32% is also equal to 0.32. Percents are evaluted with the fraction denominator 100. 32/100 is also 32 parts out of 100 parts. This expression represents 32%.

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Réponses 30 ou 60 et maintenant

Answer:  second and fourth choices have infinitely many solutions

Step-by-step explanation:

When you combine the like terms in those two equations you end up with an "identity." Both sides of the equation are the same.

x - 1/3(3x) = 0 . 1/3 of 3x is 1x

x - x = 0  any number minus itself is 0

or add x to both sides  x-x+x = 0 + x  

x = x is an identity. An identity has infinite solutions.

3x + 2 - 1/3(3x) = 2 + 2x

3x + 2 -x = 2 + 2x

2x +2 = 2 + 2x . same thing! Infinite solutions.

Answer:

They will have the same amount of CDs on the third month

they will both have 33

Step-by-step explanation:

Answer:

1.6 x 10^4

Step-by-step explanation:

First, 8*2 = 16

Since we are using scientific notation, this is expressed as 1.6 * 10^1

When we multiply using scientific notation, we add the exponents, therefore, 10^-2 x 10^5 = 10^3

1.6 x 10^1  x 10^3

We get 1.6 x10^4

Answer:

no its not J !!! its F

Step-by-step explanation:

mark brainliest please :)

Answer:  310.5       2) 7 , -1

Step-by-step explanation:

1) divide 229.50 by 17 (13.5) and multiply by 23 (310.5)

2) To find the vertical asymptotes, set the denominator equal to zero and solve for x. This is already factored in, so set each factor to zero and solve. Since the asymptotes are lines, they are written as equations of lines. The vertical asymptotes are 7 and -1.

Answer:

8. A

9. A

Step-by-step explanation:

8. A

Women 20

men 16

20/16 = 5/4

which is equal to the ratio of 5:4 women to men

9.A

28 words = 1 minute

? words = 3 minute

3*28 = 84

Answer:

y = 2x +3/2

Step-by-step explanation:

y = mx + b

m is the slope so

y = 2x + b

b is intercept so

y = 2x +3/2

Answer:

C

Step-by-step explanation:

Vc é BR ent deve entender

se 1 funcionário em 1h consegue fazer 1/3 do carro

3 em 1h consegue 1 carro

5 em 1h consegue 1,6 carros

ent é 5

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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Answer:

.84 x 10 ^4

Step-by-step explanation:

hope this helps!!!

i just got done with these, please mark brainliest

Answer:

8.4 x 10'5

Step-by-step explanation:

move the decimal point to make a number between 1 and 9.9. so 8.4. count how many times the decimal point moves. that's the power of 10

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

Answer:

9.50%

Step-by-step explanation:

You want to set up the formula which is Exact-Approximate/Exact.

So your set up should be 6.00-5.43/6.00. Subtract the top hich should get you 0.57 and then divide by 6.00.

In the end you should've gotten 0.095. You want to make sure you place the decimals i the right area, but just by looking at your quotient, you should have figured out that the answer's 9.50%.

All in all your final correct answer will be 9.50%. Please tell me if I'm incorrect.

Thank You For Your Time!

The answer for this question is 72.25pi

The area of the circle is 72.25π ft².

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.

As per the given data:

circumference of a circle = 17π ft

To find the area of the square:

Area = πR²

For radius (R):

2πR = 17π

R = (17/2) ft

Area = π(17/2)²

= 72.25π ft²

Hence, the area of the circle is 72.25π ft².

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Answer:

6/15 ( by cancelling with table 3 ) 2/5 ( prime factors of 5 is 5 × 1 ) so we can write 2/5 as 2/5 ×2/2 we get 4/10 and the answer is 0.4    hope it is helpful thankyou

Step-by-step explanation:

Other brainly answer

Answer:.

Step-by-step explanation:

.....

Answer:

y+9 = -7 (x-5)

Step-by-step explanation:

The point-slope form of the equation of a line is

y-y1=m(x-x1)

y-(-9)= -7(x-5)

y+9= -7(x-5) <---This is the answer