The conditions for a triangle are a right angle
between a side length of 3 and a side length of 4.
Do the triangles at the right show that the
conditions result in more than one triangle?
Explain why or why not.​

The value of perimeter of the rectangle is 398, So the length is 177m and breadth is 82m.

The complete length of a rectangle's outside edge is known as its perimeter. The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle.

Given the perimeter of the rectangle = 398

perimeter of rectangle = 2 × (L + B)

Length of rectangle = (12x-3)

Breadth of rectangle = (8x+2)

⇒ perimeter of rectangle = 2 × (12x-3 + 8x+2)

⇒ 398 = 2 × (20x - 1)

⇒ 199 = 20x - 1

⇒ x = 200/20

⇒ x = 10

Length = 120 . 10 - 3

Length = 117

Breadth =  8.10+2

Breadth = 82

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Answer:

length = 117

width = 82

The expression will give value 28

To evaluate the expression for the given value of variables, we will keep the value of each variable in the equation. The expression will be solved based on the arithmetic operators given in expression.

Rewriting the expression -

Value = 9t + 6 (2v - t) - 7v

Now keeping the value of v and t in expression to find the value.

Value = 9×1 + 6 (2×5 - 1) - 7×5

Firstly solving the bracket and performing multiplication of extreme left and right values of expression

Value = 9 + 6 (10 - 1) - 35

Value = 9 + 6 (9) - 35

Value = 9 + 54 - 35

Performing addition before subtracting the values

Value = 63 - 35

Performing subtraction

Value = 28

Hence, the expression according to given variables is equal to 28.

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Answer:

yes

yjnujhhhbhhhjhhbhhbhhhjj

Eight angles are formed when two parallel lines are intersected by a third line that intersects them at an acute angle, known as a transversal line. These angles interact in a number of ways, one of which is the same-side exterior. Both angles are on the same side of the transversal line, as indicated by the word "same-side," and both are "external," or "outside," of the parallel lines, as represented by the term "outside."

When a transversal crosses two parallel lines, it creates an angle between the lines and outside the lines on the same side. Because the alternate interior and alternate exterior angles are the same, and because linear pairs of angles are supplementary, the identical side angles are also supplementary.

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Jeff can own 15,16,17 or 18 books as per the given question

The following question is based on inequality. Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. In this type of question, we will get a range of answers and not a specific answer.

No. of books owned by Jeff > 14

No. of books owned by his sister = 19 books

As per the question "He owns books fewer than his sister"

So, he owns >14 and <19 books

Therefore, he can own 15, 16, 17 or 18 books as per the given inequality.

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The area of one of the slices is  54π square inches

The given parameters are

Diameter = 36 inches

Number of slices = 6

The pie represents take the shape of a circle

And the area (A) of a circle using the diameter (d) is

A= π(d/2)^2

Multiply the above area by 1/6 to get the area of a slice of the pie

So, we have

Area = 1/6 * π(d/2)^2

This means that the area of one of the slices is calculated by

Area = 1/6 * π(d/2)^2

Where

d represents the diameter of the pie i.e. d = 36 inches

So, we have

Area = 1/6 * π * (36/2)^2

Evaluate

Area = 54π

Hence, the area of one of the slices is  54π square inches

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Answer:

See explanation

Step-by-step explanation:

2/3 / 5/9=

2/3 * 9/5=      ==> Dividing by a number is basically multiplying by its reciprocal.

(2*9)/(3*5)=

18/15=6/5  ==> The student just switched the numerator and denominator.

Answer:

6/5

Step-by-step explanation:

2/3÷5/9=2/3x9/5=2/1x3/5=6/5

Answer:

$346

Step-by-step explanation:

Babysitting = $250

($10 × 25 hrs)

Neighbour's Chores = $96

($8 x 12 hrs)

Total Earning = $346

($250 + $96)

Answer:-10

Step-by-step explanation:

Answer: 4y^2-25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2=4

The slope of the line passing through the pair of points, (1 , 3) and (4 , 9), is 2.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. The formula for solving the slope is:

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

where m is the slope

x1 and y1 are the coordinates of one point

x2 and y2 are the coordinates of the 2nd point

Given two points in the line, (1 , 3) and (4 , 9), plug in the values to the formula for the slope.

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

m = (9 - 3)/(4 - 1)

m = 6/3

m = 2

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Answer:

Line

Step-by-step explanation:

Extends in two directions

The geometric term modeled by a bridge support beam is "cylinder."

Given data:

A bridge support beam often takes the form of a cylindrical shape to provide structural integrity and distribute the weight of the bridge and its load evenly. Cylinders have circular cross-sections.

A bridge support beam is often modeled as a "cylindrical" structure in geometry. Cylinders are three-dimensional geometric shapes characterized by their curved lateral surface and two circular bases of the same size and shape. When designing bridge support systems, engineers often opt for cylindrical beams due to their inherent strength and ability to distribute weight efficiently.

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The steps to get the inverse of the given function are;

We are given the function;

Start with a number "n"

• Add 2

• Multiply the result by 3

• Subtract 10 from that result

• Square the final number

An inverse function is a function that undoes the action of the another function

Thus, the steps to get the inverse of the above function is as follows;

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Answer:

x+2>1

x>1-2

x>-1

now from the set choose ot the numbers which are greater that -1

we find that x=0,1 and 2

Answer:

{0, 1, 2}.

Step-by-step explanation:

x + 2 > 1

x > 1 - 2

x > -1.

So, the solution set is:

{0, 1, 2}

A rectangular prism can have a surface area equal to its volume given the dimensions are 9 inches long, 4 inches wide and x inches high, where x is equal to 7.2 inches.

A rectangular prism is a three-dimensional figure with 8 vertices, 12 edges, and 6 rectangular faces.

If the dimensions of a rectangular prism is:

L = 9 inches

W = 4 inches

H = x inches

then the value of its surface area is equal to the value of its volume.

SA = V

2(lw + wh + lh) = lwh

Substitute the values and solve for x.

2(lw + wh + lh) = lwh

2[(9)(4) + 4x + 9x] = (9)(4)x

2(36 + 13x) = 36x

72 + 26x = 36x

10x = 72

x = 7.2 inches

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Answer: 2 2/3

Step-by-step explanation:

Answer: -53

Step-by-step explanation:

-|10-7•5+8•-4+2•2|=

-|10-7•5+8•(-4)+2•2|=

-|10-35+(-32)+4|=

-|-25-32+4|=

-|-25-28|=

-|-53|=

-(53)=-53

Answer:

b = 8

........................

The value of x for the quadratic equation is  1.099 or -9.099 .

What is completing the square?

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial .

To solve ax²+bx+c=0 by completing the square:

1.  Transform the equation so that the constant term, c , is alone on the right side.

2.  If a , the leading coefficient (the coefficient of the x² term), is not equal to 1 , divide both sides by a .

3.  Add the square of half the coefficient of the x -term,  to both sides of the equation.

4.  Factor the left side as the square of a binomial.

5.  Take the square root of both sides.  (Remember: (x+q)²=r is equivalent to x+q= ±√ r.)

6.  Solve for x .

According to the question

Quadratic equation by completing the square

x² + 8x = 10  

As we will try to make complete square of left side

for that

we have to add   to both sides of the equation

As

a = 1

2ab = 8

b = 4

x² + 8x + 4² = 10 + 4²

By using the identity (  )

(x + 4)² = 10 + 16

(x + 4)² = 26

x + 4 = ±

x + 4 = ± 5.099  

x = 5.099 - 4

x = 1.099

or

x = -5.099 - 4

x = -9.099

Hence, The value of x for the quadratic equation is  1.099 or -9.099 .

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Answer:

Here are the answers!

Step-by-step explanation:

When there are two angles on a line that are touching you can subtract what you know from 180° (Ex: 138° and angle 4)

The angles across from each other are the same.

The total of all three angles in a triangle should be 180°

34 and 49 is  pair of numbers that are relatively prime.

What is relatively prime example?

What do you mean by relatively prime?

34 and 49 is the pair of numbers that are relatively prime.

The numbers have no common prime factors.

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Answer:

D

Step-by-step explanation:

Just did it on T4L

Answer: 7 81 cents

Step-by-step explanation:

yes

The given series is a geometric series. The sum of its first 6 terms is 728.

To determine whether the series is an arithmetic or geometric one, we need to check how the consecutive terms relate to each other.

If it is an arithmetic series, then:

  a(n) = a(n-1) + d

where d is the common difference.

If it is a geometric series, then:

  a(n) = a(n-1) . r

where r is the common ratio.

The given series is:

     2+6+18+ . . . .

and the number of terms is 6.

In the given series:

a(1) = 2

a(2) = 6

a(3) = 18

Notice that

a(2)/a(1) = 6/2 = 3

a(3)/a(2) = 18/6 = 3

Since the ratio of consecutive terms are constant, then the given series is a geometric series. Furthermore, its ratio, r = 3

Sum formula for the first n term of a geometric series is:

S(n) = a(1) .  (rⁿ -1)/(r -1)

Substitute n = 6, a(1) = 2, and r = 3

S(6) = 2 . (3⁶ - 1)/(3 - 1)

S(6) = 2. 364

      = 728

We can also evaluate the sum directly. Write all the terms until n = 6.

a(4) = 18 . 3 = 54

a(5) = 54 . 3 = 162

a(6) = 162 . 3 = 486

Hence, the series is:

2+6+18+54+162+486 = 728

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If Betsy has a bag with three mint sticks, eight jelly treats, and nine fruit tart chews and she eats one piece every three minutes, the probability her first two pieces will be a fruit tart chew and a jelly treat is 18.9%.

The probability of her first two pieces being a fruit tart chew and a jelly treat can be calculated as follows,

First, we divide the expected outcomes by the total possible outcomes.

Total possible outcomes = 3(mint sticks) + 8(jelly treats) + 9(fruit tart chews) = 20

Hence,

Probability for fruit tart chew: 9 ÷ 20

Probability for jelly treat: 8 ÷ 19 (as one possibility is considered to be fruit tart chew)

The probability of her first two pieces to be fruit tart chew and jelly treat can be determined by multiplying the probability for fruit tart chew with the probability for jelly treat,

Probability = (9/20)(8/19)

Probability = 72/380 = 0.189

Converting into percentage,

Probability = 0.189 × 100 = 18.9%

Hence, the probability that her first two pieces will be a fruit tart chew and a jelly treat is equal to 18.9%.

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He played 7480 minutes across three years.

The information provided, expressed in minutes per year, is as follows:

The first year is 2181 minutes, the second is 2583 minutes, and the third is 2716 minutes.

Add that now to determine the total amount of time:

The sum of the three years is 7480 minutes (2181 + 2583 + 2716).

The gamer used 7480 minutes throughout the course of three years.

The measurement of continuously occurring events is done in terms of time. In hours, seconds, and minutes, it is measured. The well accepted established formulae can be used to compute it.

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The following angles of the given triangles arranged from the smallest to the largest:

In triangle ΔXYZ: ∠X, ∠Z, and ∠Y

In triangle ΔXYW: ∠X, ∠Y, and ∠W

The size of the angles of a triangle are relative to the side lengths of each side opposite each of the angles in a tringle.

This implies that, a larger angle will face the longest side of the triangle, the mid-sized angle faces the mid-sized side, while the smallest angle is opposite to the shortest side of the triangle.

Based on the relationship between angles and sides of a triangle, we have the following angles of the given triangles arranged from the smallest to the largest:

In triangle ΔXYZ: ∠X, ∠Z, and ∠Y

In triangle ΔXYW: ∠X, ∠Y, and ∠W

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The rate of interest is 0.26%

Given,

The amount borrowed by Fred to start a new e-commerce business = $13100.

Time of investment = 13 years.

Interest for the money = $3916.90

We have to calculate the rate of interest.

For simple interest, equation is:

P = IRT

Where,

P = Principal amount

R = Rate of interest

I = Interest

T = Time period

Here,

P  = 13100

I = 3916.90

T = 13

Then,

R = P / IT

R = 13100 / (3916.90 × 13)

R = 13100 / 50919.7

R = 0.26%

Therefore, the rate of interest is 0.26%

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The measurement of triangle ΔPQR ≇ ΔXYZ.

So,

To prove: ΔPQR ≅ ΔXYZ

So, we can say that ΔPQR ≇ ΔXYZ.

Therefore, ΔPQR ≇ ΔXYZ.

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