Find the measure of the exterior angle.

The value of x is 4 for the isosceles triangle has a base that measures x+2 with legs that measure 4x-3 and 2x+5.

Therefore, an isosceles triangle has two equal sides as well as two equal angles. An equilateral triangle is one in which all of its sides are equal, and a scalene triangle is one in which none of its sides are equal. The characteristics of an isosceles triangle are as follows: There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

Here,

Since the adjacent sides of isosceles triangles are equal,

4x-3=2x+5

4x-2x=5+3

2x=8

x=4

The isosceles triangle has a base that measures x+2 and legs that measure 4x-3 and 2x+5, so x is equal to 4.

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Answer:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160

Step-by-step explanation:

The composite figure has a total area of 12 square centimeters.

In this problem we find the area of a composite figure, which is the result of subtracting the areas of four triangles of same dimensions from the area of the entire square. Now we proceed to determine the area:

A = (6 cm)² - 4 · 0.5 · (2 cm) · (3 cm)

A = 36 cm² - 2 · (12 cm²)

A = 36 cm² - 24 cm²

A = 12 cm²

The area of the composite figure is 12 square centimeters.

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Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.

From the provided data, we have

number of meatloafs = 5

Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.

net weight of the contents of 1 canister = 15 ounces

1 cup = 8 ounces

1.25 cups = 10 ounces

10 ounces of breadcrumbs makes 1 meatoafs.

but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10

= 50

If we consider 4 canisters then

15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.

and if we are consider 3 canisters then

15 ounces × 3 canisters = 45 ounces which is not enough.

So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.

approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .

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Complete question:

you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?

First, determine what information you need to answer this question, then click here to display that info (along with other info).

How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.

How many servings does that recipe make? It says it serves 10.

How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.

What is the net weight of the contents of 1 canister? 15 ounces.

How much does a canister cost? $2.39

How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

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Answer:

2 swimming pool lengths

Step-by-step explanation:

to answer this we divide 1/2 by 1/4

1/2/1/4

1/2x4/1=4/2

2 swimming pool lengths

hopes this helps please mark brainliest

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation, in vertex form, of a absolute value function is expressed as y = a|x – h| + k, where:

From the graph, we know that:

Vertex (h, k) = (3, 5)

Substitute h = 3 and k = 5 into the equation, y = a|x – h| + k:

y = a|x - 3| + 5

A point on the graph is (5, 7). To find the value of a, substitute x = 5 and y = 7 into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

7 - 5 = 2a + 5 - 5 [subtraction property of equality]

2 = 2a

Divide both sides by 2

2/2 = 2a/2 [division property of equality]

Substitute a = 1 into y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the absolute value function]

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Answer:

30 feet^3

Step-by-step explanation:

length x width x height

3 x 2 x 5

=30

The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545

No. of Blue balls in the urn = 6

No. of Orange balls in the urn = 6

Total no. of balls in the urn = No. of blue balls + No. of orange balls

                                            = 6 + 6

                                           = 12 balls

No. of blue balls to be selected = 2

No. of orange balls to be selected = 2

No. of balls to be selected = 4

The total. no of ways 4 balls can be selected =[tex]^{12}C_{4}[/tex]

The No. of ways 2 blue balls can be selected = [tex]^{6}C_{2}[/tex]

The No. of ways 2 orange balls can be selected =    [tex]^{6}C_{2}[/tex]

Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn

                      =  [tex]^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}[/tex]

Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls

                         P = (15×15)/495

                             = 225 / 495

                          P = 0.4545

Therefore,  the no. of ways to select blue and orange balls is 0.4545

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The measure of width of given figure is 2 units. Therefore, option B is the correct answer.

From the given figure, the length is 9 units and the width is 1 unit.

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects. For example, a rectangle has its dimensions as length and breadth.

From the figure, the width is 1+1=2 units

The measure of width of given figure is 2 units. Therefore, option B is the correct answer.

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Answer:

Step-by-step explanation:

18x+15. Step-by-step explanation: 5(4x+3)-2x. Distribute the 5. 20x +15 - 2x. Combine like terms. 20x-2x +15.

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

now let's consider the white, "cut-out" triangle on the left side.

the purple one angles at the top and bottom corner are 45°.

the withe outer angles at the same corners (they are the inner angles for the white triangle) are complementary angles (together they have 90°) to the purple ones, because due to the equal angles at the top and bottom we know the connection between the 2 45° angles (the white baseline) is at a 90° angle to the 45° to 135° sides.

so the 2 baseline angles of the left white triangle are also 45° (45+45 = 90).

and that means that the third white angle is

180 - 45 - 45 = 90°.

and because a full circle around the 3x° point must have 360° (as any full circle), we know that both angles (90° and 3x°) together are 360°.

360 = 90 + 3x

270 = 3x

x = 90°

3x = 270°

The number of cans that are recycled is approximately 1 billion cans in 1 week.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that  51.9 billion aluminum cans were recycled.

Therefore, the rate of recycled the can is;

51.9 billion / 1 year

We know that 1 year has 52 weeks

Then

51.9 billion / 1 year  x  1 year / 52 weeks

= 51.9 (1) billion / 1 (52 ) weeks

= 51.9 billion/ 52 weeks

= 1 billion/ 1 week

Hence, the number of cans that are recycled is approximately 1 billion cans in 1 week.

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The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3

The quadratic function is given by

f(x) = [tex]-3(x+2)^2[/tex] + 1

The vertex form of the quadratic function is

f(x) = [tex]a(x-h)^2[/tex] + k

Where (h, k)  is the coordinates of the vertex

x =  h is the axis of symmetry

Compare the given function and the vertex form of the quadratic function and find the value of the each term

The value of h = -2

The value of k = 1

The coordinates of the vertex = (-2, 1)

The axis of symmetry is at x = h

h = -2

Draw the graph using the details

Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3

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Answer:

m∠DGB = 108°

Step-by-step explanation:

          If the non-common arms of two adjacent angles form a straight line, then the adjacent angles are called linear pair and they add up to 180°.

m∠AGD + m∠DGB = 180°   {Linear pair}

      72    + m∠DGB = 180

                 m∠DGB = 180 - 72

                 m∠DGB = 108°

The number of pages read by her will be 36.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Marion read 616 pages in 14 days, The number of pages each day will be calculated as,

N = 616 / 17

Divide the number 616 by 17,

N = 36.23

N = 36

Therefore, the number of pages read by her will be 36.

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Answer:

$6.50

Step-by-step explanation:

3.50(2)+2x+2.50(3)=26.50

6.00+2x+7.50=26.50

13.50+2x=26.50

2x=13.00

x=6.50

The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

[tex]P(X=r)={}^{n}C_{r}(p)^r(1-p)^r[/tex] where [tex]x=0,1,2,3.....[/tex]

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - [tex]^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}[/tex]

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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Answer:

Step-by-step explanation:

COP = Constant of Proportionality. • y varies directly to x. > If 10 miles varies directly to 5 minutes,. – then 10 = y and 5 = x. • Unit Rate (1, r). > (x, y).

Answer:

0.386 kiloliters

Step-by-step explanation:

because I used the calculator all I gotta do is divide the volume :)

If a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter

The hypotenuse of the right triangle = 10 centimeter

The measure of angle = 40  degree

Here we have to use the trigonometric functions

sin θ = Opposite side / Hypotenuse

Substitute the values in the equation

sin 40 = Opposite side / 10

Opposite side = 10 × sin 40

= 6.43 centimeter

Similarly

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos 40 = Adjacent side / 10

Adjacent side = 10 × cos40

= 7.66 centimeter

Hence, if a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter

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The equation for the quadratic graphed is [tex]2x^{2}+4x+2[/tex].

Let the quadratic equation be [tex]y =a x^{2}+bx+c[/tex]

Points given in graph,

A(-1,0), B(-2,2), C(0,2)

Put the values in quadratic equation

For C(0,2)

[tex]2 =a(0)^{2}+b(0)+c[/tex]

[tex]2 = 0+0+c[/tex]

c = 2

For A(-1,0)

[tex]0 =a(-1)^{2}+b(-1)+2[/tex]

[tex]a-b+2 = 0[/tex]

a - b = -2              ...........(i)

For B(-2,2)

[tex]2 =a(-2)^{2}+b(-2)+2[/tex]

[tex]4a-2b+2=2[/tex]

2a - b = 0            ............(ii)

Solving eq (i) and (ii)

a = 2

b = 4

Putting the value of a, b and c in quadratic equation,

[tex]y =2x^{2}+4x+2[/tex]

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Bisector-When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector.

What are the steps to create a bisector?

By following these steps to create a bisector in the provided curve:-

1) Join the extreme points and make a line.

2) By using compass, take width as length of a line joined in step 1.

3) Draw a curve taking extreme points.

4) Draw a line from the intersection of the curve to the line.

The above following steps should be performed  error free and you will get bisector.

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Answer:

13

Step-by-step explanation:

To evaluate meant to find its Value at the givens

At a = 1 , b = -3 , c = - 1

[tex]b^{2}-4ac=(-3)^{2} -4*1*-1=9+4=13[/tex]

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For Maia's birthday celebration, the bare minimum amount of packets of plates, napkins, and cups she needs to purchase is 15, 12, and 10, respectively.

acc to our question-

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There are 100 4-digit positive integers are possible between 1000 and 9999.

Our first step is to divide the four digit number into four places: tens, hundreds, and thousands.

To solve this problem, we must start from the right-hand side and find how many even numbers should be placed where the desired answer can be obtained.

There are a total of [0, 2, 4, 6, and 8] objects

There should only be one digit on one place, since it is the only digit that makes the number divisible by five

There are 1 ways to fill the one's place, so the total number is 1.

It is possible to take any number from the given sets of even numbers in the tens place,

There are five ways to fill one place, so there are five ways to fill it.

Taking a look at the hundreds place,

All numbers can be placed in the hundreds place from the given sets, so all numbers can be taken from the hundreds place.

Therefore, there are five ways to fill the hundreds place.

Taking a look at the thousands,

It is possible to fill thousands of places with 4 numbers from a given set of even numbers.

Therefore, there are four ways to fill the thousands place

The next step is to use the concept of factorial to find the number of ways to make a 4-digit number from even numbers that are divisible by 5.

To fill the respective places, we will multiply all the ways we calculated

= 4 × 5 × 5 × 1

= 100

Hence, there 100 4-digit positive integers possible.

Question

how many 4-digit positive integers (that is, integers between 1000 and 9999, inclusive) having only even digits are divisible by 5?

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Step-by-step explanation:

750 people go on a coach trip each coach can hold 55 people How many coaches are needed?

750/55 = 13.636 coaches are needed.

Because you cannot have a partial coach, you round up to needing 14 coaches.

There are 20 ways to paint the fence consisting of six panels each with one color out of green, red, and magenta.

There is a total of 6 panels and 3 paint colors and each panel has to be painted with only 1 color.

∴ Total number of panels = 6

Total number of colors = 3 (green, red, and magenta)

To calculate the number of ways to paint 6 panels with one of the 3 colors, the formula of combination is used. Combinations are ways of selecting objects from a group or collections, in a way that the order of the objects does not matter.

The number of ways or the combinations of 6 panels taken with each color out of 3 at a time is given by [tex]^6C_3[/tex]

[tex]^6C_3[/tex] = 6! / [3! (6-3)!]

[tex]^6C_3[/tex] = (6*5*4*3*2*1) / [3*2*1 (3)!]

[tex]^6C_3[/tex] = 720 / (6*6)

[tex]^6C_3[/tex] = 720 / 36

[tex]^6C_3[/tex] = 20

Therefore, 20 combinations are possible to paint 6 panels each with only one color out of green, red, and magenta.

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