which angles are congruent in the isosceles triangle

Answer:

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Step-by-step explanation:

distance between points is diameter

x^2=  (8--4)^2+(-7-9)^2

x^2=12^2+16^2

x^2=144+256

x^2=400

diameter x=20 so radius =10

center point =midpoint (-4+8)/2 and (-7+9)/2

center point =(2,1)

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Answer:

Range of x:  [tex]0\leq x < 12[/tex]    or    [tex]0\leq x\leq 11[/tex]

Largest possible value of [tex]x[/tex] is 19

Mean mark = 11.41 (nearest hundredth)

Step-by-step explanation:

The mode is the number that appears the most, so if the mode is 10, [tex]x[/tex] has to be smaller than 10.

We can say this in two ways:

[tex]0\leq x < 12[/tex]    or    [tex]0\leq x\leq 11[/tex]
since the number of points and players are positive integers.

The median is the middle value when the values in the data set are placed in order from smallest to largest.

If 10 is the median mark, to find the maximum number of 15s, sum the number of players scoring 5 and 10 points and subtract 1:

8 + 11 = 19

Therefore, the largest possible value of [tex]x[/tex] is 19.

The mean is the total of the numbers divided by how many numbers there are.  

To find the total marks, multiply the number of points by the number of players, and sum (using x = 19):

[tex]\textsf{Total points}=5 \times 8+10\times12+15 \times 19=445[/tex]

Total number of players = 8 + 12 + 19 = 39

[tex]\textsf{mean mark}=\dfrac{445}{39}=11.41\:\textsf{(nearest hundredth)}[/tex]

Answer:

[tex]52.8cm^{2}[/tex]

Step-by-step explanation:

Perimeter = 26.4 cm

Apothem = 4.0 cm

The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]

when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]

Answer:

15)

ABCD is quadrilateral

∠MBC+∠ABC=180°

∠ABC = [tex]\tt 180-71=109^o[/tex]

The sum of all angles of quadrilateral = 360°

[tex]\tt 10x+6+12x-2+8x-1+109=360^o[/tex]

[tex]\tt 31x+112=360[/tex]

[tex]\tt 31x+112-112=360-112[/tex] ( Subtract 112 from both sides)

[tex]\tt 31x=248[/tex]  (Simplify)

[tex]\tt \cfrac{31x}{31}=\cfrac{248}{31}[/tex] (Divide both sides by 21)

[tex]\tt x=8[/tex]

___

16) Find m∠v

The polygon has 6 sides

Sum of angles:- (6-2)=180= 720°

so,

[tex]\tt 90+9x-19+111+5x+8+128+7x+3=720[/tex]

[tex]\tt 2x+321=720[/tex]

[tex]\tt 21x+321-321=720-321[/tex] ( Subtract 321 from both sides)

[tex]\tt 21x=399[/tex] (Simplify)

[tex]\tt \cfrac{21x}{21}=\cfrac{399}{21}[/tex] ( Divide both sides by 21)

[tex]\tt x=19[/tex]

Therefore, m∠v=19

____

Answer:

785.4cm^3

Step-by-step explanation:

(10÷2)^2*π=25π

25π*10=250π≈785.4

Answer:

soulutions

0,03| = 3×1^100 × 1× 1^1000

=3^100 + 1^1000

=30^1000 + 1^1000

=31^1000

(3=3×10 =30 )

(100 1000 1000 )

Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.

The given information states that each face of the cube has an area of 4 square units.

Since a cube has 6 faces, this means that the total surface area of the cube is:

Total Surface Area = 6 * 4 square units = 24 square units

Now, let's relate the surface area of the cube to its volume:

For a cube, the surface area (S) and the volume (V) are related by the formula:

S = 6s²

Where "s" is the length of each side of the cube. In this case, we have:

S = 24 square units

Substitute this into the formula:

24 = 6s²

Now, solve for "s":

s² = 24 / 6

s² = 4

Take the square root of both sides:

s = √4

s = 2

So, each side of the cube is 2 units long.

Now, to find the volume of the cube, you can use the formula for the volume of a cube:

V = s³

Substitute the value of "s":

V = 2³

V = 8 cubic units

Therefore, the volume of the cube is 8 cubic units.

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Answer:

the total amount owed for the car is $7500

Step-by-step explanation:

5% of $6000 is ($6000×5)÷100= $300

so $300×5= $1500

now the 5 yrs interest auditioned to the $6000 loan equals $7500.

($300×5)+$6000= $7500

Answer:

u got this bro come on

x28

Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the function is modeled as follows, considering x as the price divided by $0.05.

P(x) = -0.1x² + 15x + 120.

The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:

[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]

75 increases of $0.05, hence the price will be of:

4.5 + 75 x 0.05 = $8.25.

Hence, the profit will be maximized when each cookbook is sold for $8.25.

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The high-tech sector employees were less likely to lose their jobs option fourth is correct.

It is given that the estimated employment change by sector 2004–2020 a bar graph titled estimated employment change by sector from 2004 to 2020 has the year on the x-axis and the percentage of change in employment on the y-axis.

It is required to find the correct statement.

It is defined as the visual way to show the data a systematically with rectangle box on the x-axis and y-axis. The height and vertical lines show the proportional data.

From the given data many businesses stagnated and had to fire employees, but these were primarily people who could be quickly replaced by someone willing to work for a lower wage.

Employees in the high-tech sector are frequently too valuable to the company to be laid off, therefore their job security was strong because no one could replace them.

Thus, the high-tech sector employees were less likely to lose their jobs option fourth is correct.

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Answer:

D- High-tech sector employees were less likely to lose their jobs.

Step-by-step explanation:

edge economics 22

Answer:

1,572,861 is the answer please

Answer:

greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear

Answer:

75 in^2

Step-by-step explanation:

two rectangles on the sides: 60 in^2

5x6 = 30

30x2 = 60

rectangle in the middle: 15in^2

5x3 = 15

altogether area: 75 in^2

60+15 = 75

Answer:

-7 15/17. 49 sq. 7.7 187/24

Step-by-step explanation:

thats the order least to greatest 187/24= 7.79 and 49 sq = 7

Answer:

obtuse angle is 155'

Reflex angle is 205'

Step-by-step explanation:

Just add the angles between the arecs

43

so sorry if this is incorrect.

The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

The percentage is defined as a ratio expressed as a fraction of 100.

A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.

       more   less

7th    12        14

8th    20      26

To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.

20 students out of 46 students (20+26) answered "more" which is about 43.48%

Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

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No

Step-by-step explanation:

For a triangle to have a right angle the square sums of the legs have to equal the square of the hypotenuse.

In this case 9 is the hypotenuse which is the longest side in a triangle. 5 and 7 are the two smaller sides which make them the legs.

Putting this set of numbers into the pythagorean theorem is the way to solve this.

5²+7² should equal 9² if the triangle is a right triangle.

Solve the squares: 25+49=81

This would add up to be 74 and that is not equal to 81, so by this statement we can conclude that 5, 7, and 9 do not make a right triangle.

Answer:

No

Step-by-step explanation:

It is not factorial of any number.

Answer:

n = 6 and n = 11

Step-by-step explanation:

8 inches

the area

If the diameter is 8 inches, the radius is 4 inches.

a= Pi* r^2

= 16 Pi square inches.

pi= 3.14159 》 16pi

= 15.2655 sq inch

Answer:

x=2

Step-by-step explanation:

You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2

Answer:

x=2

Step-by-step explanation:

Distribute the 2.5 and 4 out

15x - 10 = 10 + 6 +2x

Add the constant variables together

15x - 10 = 16 +2x

Move the x on one side and the constant on the other

13x = 26

Divide both sides to find x

x=2

Answer:

V = 1046.9

Step-by-step explanation:

The equation for volume is (4/3)pi r^3

substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3

Answer:

17/3

Step-by-step explanation:

x +  y +  z   = 47

y - x  = 10   x =  y - 10

z - y = 10     z = 10 + y      

y-10    +     y    +   10 + y    = 47

3 y = 47

 y = 47/3       x = 17/3     z = 77/3  

Answer:

5

Step-by-step explanation:

Answer:

Yes, because the employer purchased half the price of the cell phone. They can read the messages on their property.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

(a+c)^2 = t

(a+c) = sqrt t

c = sqrt(t) - a

Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.