Rebecca wants to prove that if the diagonals in a parallelogram are perpendicular, then it is a rhombus.

The solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.

What is inequality?

In mathematics, the term 'inequality' is defined as a statement or equation with an ordered relationship like greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

-5 < 9- 6x

Adding 5 both the side we get,

5 - 5 < 9 - 6x + 5

⇒ 0 < 14 - 6x

⇒ 14 - 6x > 0

Dividing both the side by 6 we get,

⇒ 14 < 6x

⇒ x > 14/6 = 7/3

or, x ≤ 7/3

this is the required solution of the given inequality.

Thus, the solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.

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Solving 2x+c = d is similar to solving 2x+1 = 9 because both the equations have similar pattern.

According to the question,

We have thee following two equations:

2x+c = d ....(1)

2x+1 = 9 ....(2)

Now, note in these equations that in equation 2 we have two different values of c and d. We have the value of c as 1 and d as 9.

Further, solving these two equations would be same because of the following:

For equation 1, we have:

2x+c = d

2x = d-c

x = (d-c)/2

For equation 2, we have:

2x+1 = 9

2x = 9-1

x = (9-1)/2

Now, observe that in finding the values of x in both the equations we have similar solutions except the fact that in equation 2 we have two values of c and d.

Hence, solving 2x+c = d and 2x+1 = 9 is similar.

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Jummai and Tunde will each have 9 and 6 bananas respectively.

For the given ratio case we use the sharing ratio criterion to solve the problem.

Jummai is 12 years old.

Tunde is 8 years old.

Their ages are in ratio of;

                             A = 12 : 8

                             A =  3 : 2

The ratio's sum is 5.

15 bananas total are available for sharing.

Jummai will have [tex]x\\[/tex] bananas  [tex]x[/tex] = (15 x 3/5) = 9

Tunde will have [tex]y[/tex] bananas  [tex]y[/tex] = (15 x 2/5) = 6

Jummai and Tunde will each have 9 and 6 bananas with them.

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Answer:

Two is subtracted by a number:

n - 2

And then the difference is divided by 3:

(n - 2) / 3

The result is 30:

(n - 2) / 3 = 30

(n -  2 ) / 3 = 30

(n - 2) = 30 • 3

n - 2 = 90

n = 90 + 2

n = 92

The number is 92

The height of the scale drawing in inches is 15.

As per the scale factor, the ratio of measurement in real is equal to the measurement to measurement of scale drawing. So, representing the two ratio -

3 inches : 2 feet = Height : 10 feet

Rearranging the formed ratio to find the height of bedroom in scale drawing is -

Height = (3 inches × 10 feet ) ÷ 2 feet

Performing division to find the height of bedroom in scale drawing

Height = 3×5

Performing multiplication to find the height of bedroom in scale drawing

Height = 15 inches

Therefore, scale drawing of 10 feet high bedroom will be 15 inches.

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Answer:

4/7

Step-by-step explanation:

Answer:

Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.

Step-by-step explanation:

Step 1: Identify the fractions
Colton is given one of the seven pieces, so he has [tex]\frac{1}{7}[/tex] of the chocolate.

Jill is given three of the seven pieces, so she has [tex]\frac{3}{7}[/tex]  of the chocolate.

Brandon himself had seven pieces at the beginning, so he had [tex]\frac{7}{7}[/tex] (the whole) of the chocolate.

Step 2: Do calculations with the fractions

Collectively, Colton and Jill have taken:

[tex]\frac{1}{7}+\frac{3}{7}\\\\\text{Add the fractions:}\\\frac{1+3}{7}\\\\\text{Calculate:}\\\frac{4}{7}~\text{of the chocolate}[/tex]

So, the fraction that Brandon has currently is:

[tex]\frac{7}{7}-\frac{4}{7}\\\\\text{Subtract the fractions:}\\\frac{7-4}{7}\\\\\text{Calculate:}\\\frac{3}{7}[/tex]

Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.

Answer:

There are 3 strawberries and the total number of fruit is 15, so 3:15 is the ratio, or 3/15.

Step-by-step explanation:

The total number is all of the fruits added together, so 12 + 3.

The 3 means the number of strawberries, so you just put them together into a ratio.

Hope this helps.

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Perimeter of the parallelogram which points are E(7,-5), F(7, 2), G(4, 8), and H(4, 1) = 24 units.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

A parallelogram is a shape with only two dimensions. It has four sides, two parallel pairs of which make up each side. The lengths of the parallel sides are also the same. The form is not a parallelogram if the lengths of the parallel sides are not equal.

Properties of parallelograms

Given points are

E(7,-5),

F(7, 2),

G(4, 8), and

H(4, 1)

Perimeter of the parallelogram EFGH=2(EF+FG)

Distance between two points(x₁ , y₁) and (x₂ , y₂ ) can be calculated using the formula  

√(x₂ - x₁ )² + (y₂ - y₁)²

Hence ,length of  EF =  

√(7 - 7  )² + (2 - (-5))²

=√49

=7units

And length of FG =

√(4 - 7  )² + (8 - 4)²

= √16 + 9

= √25

​=5units

Hence, Perimeter of  the  parallelogram EFGH=2(EF+FG)=2(5+7)=24units

We have form parallelogram EFGH. For the result see the attachment-

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Answer:

  27.4 units

Step-by-step explanation:

Given parallelogram EFGH with vertices E(7,-5), F(7, 2), G(4, 8), and H(4, 1), you want to know its perimeter.

The distance between two points can be found from their coordinates using the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The distance between points F and G is ...

  d = √((4 -7)² +(8 -2)²) = √(9 +36) = √45 ≈ 6.708

The distance between points E and F will be the difference of their y-coordinates:

  d = √((7 -7)² +(2 -(-5))²) = √(0 +7²) = 7

Since opposite sides of a parallelogram are the same length, the perimeter is twice the sum of two adjacent sides:

  P = 2(EF +FG)

  P = 2(7 +6.708) = 2(13.708) = 27.416

The perimeter of EFGH is about 27.4 units.

Considering the equation of selling habitat between Niayla and Hamilton, the number of habitats that Niayla and Hamilton must sell to make an equal amount of money is 15

information gotten from the question include

Hamilton gets paid a flat fee of 350 dollars plus 50 dollars for each habitat he sells

Niayla gets paid a flat fee of 500 dollars 40 dollars for each habitat she sells

The equation as described is a linear function and is represented by the form. y = mx + c

where:

y = total amount made

x = number of habitat sold

m = cost per habitat

c =flat fee

some interpretation on the information from the question include

for Hamilton

y = 50x + 350

for Niayla

y' = 40x + 500

To make equal amounts y = y'

50x + 350 = 40x + 500

500 - 350 = 50x - 40x

150 = 10x

x = 150 / 10

x = 15

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Answer:

y=-5x+7

Step-by-step explanation:

15x+3y=21

(15x+3y)/3=21/3

5x+y=7

5x+y-5x=7-5x

y=-5x+7
yeah
i'm probably wrong but its my best

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]

____________________________________

The given equation is :

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 15x + 3y = 21[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3y = 21 - 15x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{21}{3} - \frac{15}{3} x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]

That's the required equation in slope intercept form, with slope (m) = -5, and y - intercept = 7

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

6/10

Step-by-step explanation:

I think, however I may be very wrong, sorry.

Answer:

[tex]\sf \dfrac{29}{30}[/tex]

Step-by-step explanation:

A bag contains:

Therefore, the total number of marbles in the bag is 10 marbles.

The possible outcomes for drawing 3 marbles (without replacement) are:

Therefore, the only outcome where at least one red marble is not drawn is {Y Y Y}.

To find the probability of drawing at least one red marble, subtract the probability of drawing 3 yellow marbles from one.

The probability of drawing 3 yellow marbles without replacement is:

[tex]\implies\sf P(3\; yellow \;marbles)=\dfrac{4}{10} \times \dfrac{3}{9} \times \dfrac{2}{8}=\dfrac{24}{720}=\dfrac{1}{30}[/tex]

Therefore, the probability of drawing at least one red marble is:

[tex]\implies \sf P(At\;least\;one\;red\;marble)=1-\dfrac{1}{30}=\dfrac{29}{30}[/tex]

This can be confirmed by drawing a tree diagram (see attached).

To find the probability of drawing at least one red marble, add the probabilities at the end of each relevant final branch:

[tex]\begin{aligned}\implies \sf P(At\;least\;one\;red\;marble)&=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{10}\\\\&=\dfrac{4}{6}+\dfrac{3}{10}\\\\&=\dfrac{20}{30}+\dfrac{9}{30}\\\\&=\dfrac{29}{30}\end{aligned}[/tex]

Answer:

-1/2

Step-by-step explanation:

Answer:

7x + 30z

Step-by-step explanation:

7x +(5*6)z

= 7x + 30z

Answer:

(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)

Step-by-step explanation:

see picture

Answer:

68.054

Step-by-step explanation:

I don't really have an explanation for this, it just is.

Sixty-eight (68) and fifty-four thousandths (.054, because the thousandths place is the third digit after the decimal point).

The range of the function, f(x), that gives the total cost of the cleats of given that each cleat costs $15 and the number of cleats, x, is 5 ≤ x ≤ 9 is RANGE: [75, 135]

The range of a function is the set containing the output values that are obtainable with the function.

The given parameters are;

The number of players, n, in the sports team is; 5 ≤ n ≤ 9

The given cost of one cleat = $14

The function that represents the total cost of the cleats for the team is f(x) = 15•x

Given that each team member is given one cleat, we have;

Number of cleats is 5 ≤ x ≤ 9

The range of values for the total cost of the cleats is therefore;

15 × 5 ≤ f(x) ≤ 15 × 9

75 ≤ f(x) ≤ 135, which using interval notation gives;

RANGE: [75, 135]

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Answer: B. 2x-5

Step-by-step explanation:

Decompose the polynomial into factors:

[tex]2x^2+x-15=\\\\2x^2+6x-5x-15=\\\\2x(x+3)-5(x+3)=\\\\(x+3)(2x-5)[/tex]

[tex]S=length*width\\\\The \ lenght=x+3\\\\Hence,\ \\\\The \ width=2x-5[/tex]

Answer:

1111...................... ................

just find it from the graph its not that hard

goodluck :)

Answer:

1 91/100

Step-by-step explanation:

everything you need is in the picture

goodluck :)

The correct option is option B that is the function f(x) = 3 (4)ˣ.

A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. We need to find the function for the given graph. We have two points on the graph so we will satisfy the points in the options given options. The points are (0, 3) and (1, 12).

The first option is

f(x) = 3 (12)ˣ, after putting point (1, 12)

12 ≠ 3 (12), so it is not required function.

The second option is

f(x) = 3 (4)ˣ, after putting points (0, 3) and (1, 12)

3 = 3 and 12 = 12, so it is the required function.

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Answer:

3.5 * 10^2

Step-by-step explanation:

So you start with 350.

What you do is take the decimal from the beginning of 350 and move it to the left.

350.0 -> 35.0-> 3.5

And you move the decimal until you get only one number in front of the decimal.

Then you take the number of times you moved the decimal and put it with ten so in this case it would be. 10^2.

Making the final answer: 3.5 * 10^2

The value that makes the triangle a valid triangle is x = 17

Angles are formed when two or more lines intersect.

This in other words means that angles is the measure of space between the intersection of rays or lines

The given parameters are

Shape = Triangle STU

Angle S = 6x - 15

Angle T = 2x - 2

Angle U = 4x - 7

The sum of angles in a triangle is 180 degrees

This means that

Angle S + Angle T + Angle U = 180

Substitute the known values in the above equation

So, we have the following:

6x - 15 + 2x - 2 + 4x - 7 = 180

Evaluate the like terms in the equation

So, we have the following:

12x = 180 + 15 + 2 + 7

Evaluate the like terms in the equation

So, we have the following:

12x = 204

Divide by 2

x = 17

Hence, the value of x is 17

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Answer: 38 and 39

if you add them together you get 77

Answer:

38 & 39

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 77

→ 2x + 1 = 77

Now the value of x will be,

→ 2x + 1 = 77

→ 2x = 77 - 1

→ x = 76/2

→ [ x = 38 ]

Then the required integers are,

→ x = 38

→ x + 1 = 38 + 1 = 39

Hence, the integers are 38, 39.

Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 [tex]*\\[/tex] 6 = 18

2. 18 + 7 = 25

EXPLANATION:

Given;

We are given two triangles labeled MRS and NSR.

Required;

We are required touse the information provided rto rove tside SM is equal to side RN.

Solution;

If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.

Therefore;

∠UXS    = 135°  is the value on transversal line.

What is a transversal angle?

∠RXU = 45°

∠UXS = ?

As we know that a line make 180 degree angle on it.

So, ∠UXS + ∠RXU = 180°

     ∠UXS =  180° -  ∠RXU

         ∠UXS =  180° - 45°

                     = 135°

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