Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.

Answer:

16 units

Step-by-step explanation:

Using the Pythagorean theorem, we can find 1/2 the length of b.  We will call it x

15^2 + (x)^2 = 17^2

225 + x^2= 289

Subtract 225 from each side

x^2 = 289-225

x^2 =64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x =8

This is one half the length of b

b= 2*8

b = 16

Answer:

16

Step-by-step explanation:

17² = 15² + (b/2)²

64 = (b/2)²

b/2 = 8

b = 16

Answer:

20%

Step-by-step explanation:

Jus do the math for it and that be your answer right there.

Answer:

what is the values of what?

Answer:

50, 60, 70

Step-by-step explanation:

The mode is the value that appears the most:

2 50s

2 60s

1 80s

2 70s

1 55s

1 85s

1 90s

The modes are 50, 60, and 70

Answer:

The mode is 50,60,70

Step-by-step explanation:

They are the numbers that repeat themselves multiple times but they all repeat the same amount so all 3 are correct

Answer:

A

Step-by-step explanation:

Answer:

41 square units

Step-by-step explanation:

It would be easier to split this shape up into a square and a triangle at the y=5 line.

The area of the square would be 16 and the area of the triangle(1/2 base x height) would be 25. 16 + 25=41

Hope this will help u....

Answer:

(2 x 100) + (6 x 10) + (804 x 10^-3)

Step-by-step explanation:

The figure located at the hundred must be multiplied by 100

The figure located at the tens must be multiplied by 10

The figure located at the ones must be multiplied by 1

The figure located at the tenth must be multiplied by 10^-1

The figure located at the hundredth must be multiplied by 10^-2

The figure located at the thousandths must be multiplied by 10^-3

All the previous expression must be added. Then, 2 hundreds, 6 tens, and 804 thousandths is the same as:

(2 x 100) + (6 x 10) + (804 x 10^-3) = 260.804

Answer:

I think its the 1st one

Answer:

[tex]arc\ JM=132^o[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

[tex]arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o[/tex] ----> by complete circle

substitute the given values

[tex](13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o[/tex]

solve for x

[tex](33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10[/tex]

step 2

Find the measure of arc JM

[tex]arc\ JM=(13x+2)^o[/tex]

substitute the value of x

[tex]arc\ JM=(13(10)+2)^o=132^o[/tex]

Answer:

132 maybe

Step-by-step explanation:

Answer: 2.88

Step-by-step explanation:

48 x 0.06 = 2.88 and thats how much tax you will pay!!

Answer:

C

Step-by-step explanation:

A y intercept lies on the y axis.

This means that the movement will happen with the y intercept, on the y axis.

8 is the original y intercept.

It is now changed to -3.

-3 is lower than 8 on the y axis so we are moving downward.

Now, to find the number of squares it moves, we can find the difference between 8 and -3.

8-(-3)=11

Therefore, The y-intercept will be moved 11 units downward.

Answer:

C.

Step-by-step explanation:

The -3x tells you the slope (rise/run). In this case, it will go downward because it is negative. It will have a slope of 3/1. The +8 or -3 is the y intercept and tells which direction the original line will go from its' starting point. So you would add those together to know which way the line moves.

Answer:

Cost for each movie: $1.50 Cost for each video game: $6.75

Step-by-step explanation:

Let x be the cost (in dollars) of renting a movie.

Let y be the cost (in dollars) of renting a video game.

The total cost of renting 3 movies and 2 video games is +3x2y dollars.

We're given that this total cost is $18, so we have =+3x2y18.

The total cost of renting 5 movies and 6 video games is +5x6y dollars.

We're given that this total cost is $48, so we have =+5x6y48.

Therefore, we get the following system of equations.

=+3x2y18

=+5x6y48

Multiplying the first equation by −3 and adding gives us the following.

   −9 x− 6 y = −54      5 x+ 6 y =  48     −4 x+ 0 y = −6  

So we get the equation =−4x−6.

Solving for x, we get the following.

=x1.5

To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.

Then we solve for y.

+31.52y =18

+4.52y =18

2y =13.5

y =6.75

So, we have found that =x1.5 and =y6.75.

This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.

Hope this will help u...

Answer:

132.52 [tex]cm^{2}[/tex]

Step-by-step explanation:

radius=3

Area of circle= 3.14x3 squared

=28.26

28.26x2=56.52

area of rectangle=76

The surface area of the composite figure will be 136.52 square cm.

The area of a two-dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area is a combination of the area of the rectangle and the area of the circle. Then we have

A = L x W + 2 x πr²

The radius, length, and width will be 3 cm, 20 cm, and 4 cm, respectively.

The area is calculated as,

A = 20 x 4 + 2 x 3.14 x 3 x 3

A = 80 + 56.52

A = 136.52 square cm

More about the area link is given below.

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Answer:

64 pi

Step-by-step explanation:

divide 50.24 by 3.14 to find diameter

16 = diameter

8 = radius

Area = 8^2 pi = 64 pi

Answer:

A=200.96

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

You have to multiply with whats inside the roots. you would have [tex]\sqrt{5} times \sqrt{20} will give you \sqrt{100} which is 10[/tex]

Answer:

5/2 = 2 1/2 = 2.5

Step-by-step explanation:

4 * 5/8 = 4/1 * 5/8 = (5 * 4)/(1 * 8) = 20/8 = 5/2 = 2 1/2 = 2.5

Answer is 2.5 because 4 times 5 is 20 and 20 divided by 8 is 2.5

Answer:

[tex]x+3[/tex] if [tex]x>2[/tex]

Step-by-step explanation:

Recall some following basic ideas about absolute value:

[tex]|0|=0[/tex] or I guess [tex]-(0)=0[/tex]

[tex]|3|=3[/tex]

[tex]|-3|=-(-3)[/tex] or just [tex]3[/tex] but there is a reason why I wrote it the way I did.

You see that the absolute value returned the same value if the value was positive.

You see that the absolute value returned the opposite value if the value was negative.

You can include 0 in either.

Let's look at [tex]|x+3|[/tex] alone for a second.

*[tex]|x+3|=x+3[/tex] if [tex]x+3[/tex] is positive or zero.

When is [tex]x+3[/tex] positive or zero? [greater than or equal to 0]

[tex]x+3\ge 0[/tex]

Subtract 3 on both sides

[tex]x\ge -3[/tex]

*[tex]|x+3|=-(x+3)[/tex] if [tex]x+3[/tex] is negative or zero.

When is [tex]x+3[/tex] negative or zero? [less or equal to 0]

[tex]x+3\le 0[/tex]

Subtract 3 on both sides

[tex]x\le -3[/tex]

So looking at the bullet points (the *), [tex]x>2[/tex] fits into the first inequality.

Therefore, [tex]|x+3|=x+3[/tex].

Answer:

C & E

Step-by-step explanation:

∠3 and ∠5 are alternate interior angles

∠2 and ∠8 are alternate interior angles

Answer:

3

Step-by-step explanation:

t-4t^2+2t^3

Rewriting this in order from largest to smallest exponent

2t^3 -4t^2 +t

The highest power is 3

So this is degree 3

Answer:

D. 1,200,000

Step-by-step explanation:

25%=0.25 which if multiplied by 4 = 1 which is the current followers. 300,000 multiplied by 4 = 1,200,000

Using percentages we know that the current followers of the sports franchise are (D) 1,200,000.

So, the current followers are:

Now calculate as follows:

Therefore, using percentages we know that the current followers of the sports franchise are (D) 1,200,000.

Know more about percentages  here:

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Answer: Search Results

Featured snippet from the web

Congruent circles have congruent radii the plural of radius. Concentric circles have the same center. A central angle has a vertex on the center and endpoints on the circle. given point

Answer:   (C)

Step-by-step explanation:

· So mean is the average number for mean to happen  you would need to add then dived by the number of numbers n the question.

·    The Standard Deviation is a measure of how spread out numbers are.

hope this help

If each score in a set of data scores were increased by 8 points:

The mean would increase by 8, and the standard deviation would remain the same.

Option C is the correct answer.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Mean is the sum of all the values divided by the number of the values.

Example:

1, 2, 3, 4, 5

Mean = (1 + 2 + 3 + 4 + 5) / 5

Mean = 15/5 = 3

Now,

If 1 is increased in each set,

Mean = (2 + 3 + 4 + 5 + 6) / 5

Mean = 20/5 = 4

We see that,

3 + 1 = 4

So,

The Mean is increased by the number we add with each number.

Now,

The standard deviation shows how the values are spread so,

Increasing each number will not change the standard deviation.

Thus,

The mean would increase by 8, and the standard deviation would remain the same.

Learn more about mean here:

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Answer:

b.14

Step-by-step explanation:

xoxoxoxoxoxoxoxoxo you're welcome

Answer:

[tex]177cm^2[/tex]

Step-by-step explanation:

Area of the Shaded region = Area of the Circle - Area of the Rectangle

[tex]=\pi r^2 -(LXB)\\r=8cm, L=12cm, B=2cm\\$Area of the Shaded region$ =[\frac{22}{7}X8^2]-[12X2] \\=201.14-24\\=177.14cm^2\\\approx 177cm^2[/tex]

Hope I was able to help you?

Answer:

the answer is 177.06 cm^2

Step-by-step explanation:

i just did it

Answer:

y = 3

x = -1

Step-by-step explanation:

The idea to start the problem is that we need to cancel x in one equation to find y first, therefore:

y = -x + 2 (let's multiply this entire equation by -4)

y = -4x - 1

We then have .:

- 4y = 4x - 8

   y = -4x - 1 (now we sum both equations)

.:

- 3y = -9 (isolate y)

   y = -9 / -3

   y = 3 (good we have y!)

Now come back to one of the equations, substitute y to find your x!

Substituting on the first equation we have:

3 = -x +2 (isolate x)

3 - 2 = -x

1 = -x (multiply everything by -1)

x = -1

I hope it helps :)

Answer:

A

Step-by-step explanation:

It’s just a rough estimate, but using reasoning that -12 is between-10 and -15, -3 is found between 0 and -5, and 7 being between 5 and 10

Answer: He should order for 1046.67 litres fuel to be certain that he has enough for the next two weeks

Step-by-step explanation:

Note that he has just completely

filled the fuel tank of the lorry with 170 litres from empty. He now has 100 litres of fuel left in his storage tank

If his regular short daily trips total 300 km and this leaves just 20 litres in the lorry's fuel tank.

That is 100 litres -20 litres = 80 litres

On 300km, he consumed 80 litres

He plans to complete three regular days of 300 km journeys each week, but this could rise to five. Sometimes the total journeys are longer but his daily trips never total more than 400 km in a day. He never works more than five days in a week. His storage container holds

4000 litres

From all these analysis, we can deduce that the maximum km of journey he should prepare for is

400km × 5 = 2000km for one week

Since he consumed 80 litres of fuel for any 300km

Then,

80/300 = L/2000

L = 1600/3

L = 533.33 litres

The journey for two weeks will be

533.33 × 2 = 1066.67 litres

Recall that he left 20 litres in the tank. Take this away from 1066.67 litres.

1066.67 - 20 = 1046.67 litres

He should therefore order for 1046.67 litres fuel to be certain that he has enough for the next two weeks

so the answer is 8 units.

Hope this will help u...

Answer:

12 Cans and 14 boxes

Answer:

D(1)=3

Step-by-step explanation:

Answer:

The 3rd term is -25

Step-by-step explanation:

This is a recursive formula. It tells us that the first term is 3 and that the common difference is -14.

d(1)=3

d(2) = d(1) -14 = -11

d(3) = d(2) - 14 = -25

The 3rd term is -25