In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.

Step-by-step explanation:

With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.

The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:

tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem

As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:

Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2

=> Shexagon=6×62√3=216

Answer:

27°

Step-by-step explanation:

angle A + angle B + angle C=180 degree (sum of interior angles of a triangle )

angle A +90 + 63 =180

angle A +153 = 180

angle A =180 - 153

angle A =27 degree

Answer:

<A=27°

Step-by-step explanation:

D=63°

B= 90°

Angles in a triangle adds up to 180°

Therefore A= 180- (63+90)

=180 - 153

=27

(gx2)-2

Hope this helps! :)

______________

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

Answer:

Area of circle = 465.82 cm²

Step-by-step explanation:

Given the following data;

Circumference of the hub cap = 76.49 cm

Pie, π = 3.14

To find the area of the hub cap;

First of all, we would determine the radius of the hub cap.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Where:

C is the circumference of a circle.

r is the radius of a circle.

C = 2πr

76.49 = 2 * 3.14 * r

76.49 = 6.28r

Radius, r = 76.49/6.28

Radius, r = 12.18 cm

Next, we find the area of the hub cap;

Area of circle = πr²

Area of circle = 3.14 * 12.18²

Area of circle = 3.14 * 148.35

Area of circle = 465.82 cm²

However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.

Answer: A. 30 students in the lunchroom.

Step-by-step explanation:

A representative sample simply refers to the sample that has same characteristics just like the population.

A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".

When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.

Answer:

30 students in the lunchroom

Step-by-step explanation:

Got it right on the test.

Answer:

[tex]y=-3x+4[/tex]

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is [tex]y-(-2)=-3(x-2)[/tex]. Then solve for y.

Distribute -3 to [tex](x-2)[/tex],

[tex]y-(-2)=-3x+6[/tex]

Then, add -2 to both sides,

[tex]y=-3x+4[/tex]

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

Answer:

0.48780487804

Answer:

(x+1) (x+2)

Step-by-step explanation:

I this is it? If you meant x to the second power than I think this is the answer

The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given her:  Three squares whose sides form one Pythagoreans of a triangle .

Now a²=58

b²=10

b=√10

c²=64

c=8

Clearly √10<√58<8

Thus c must be the hypotenuse of the triangle.

Using Pythagoras' theorem we get

√10²+√58²=68≠64

Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

Hope you find it helpful

Answer:

100*

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

x = 60+40

x = 100

Answer:

9:42

Step-by-step explanation:

First, convert his second run into minutes so its easier to simplify

than divide both the timings by 5

to get the answer as 9:42 as the simplest ratio form

Answer:

Option B. 489.8 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Height (h) = 13 ft

Radius (r) = 6 ft

Pi (π) = 3.14

Lateral surface area (Aₗ) =?

The lateral surface area of the cylinder can be obtained as follow:

Aₗ = 2πrh

Aₗ = 2 × 3.14 × 6 × 13

Aₗ = 489.8 ft²

Therefore, the lateral surface area of the cylinder is 489.8 ft²

Answer:

∠ Y ≈ 32.7°

Step-by-step explanation:

Using the law of Cosines

cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]

with x = 90, y = 55, z = 50

cosY = [tex]\frac{90^2+50^2-55^2}{2(90)(50)}[/tex] = [tex]\frac{8100+2500-3025}{9000}[/tex] = [tex]\frac{7575}{9000}[/tex] , then

∠ Y = [tex]cos^{-1}[/tex] ([tex]\frac{7575}{9000}[/tex] ) ≈ 32.7° ( to the nearest tenth )

Answer:

C.   G(x) = (x+3)^3

Step-by-step explanation:

Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

Answer:

2.2916

Step-by-step explanation:

Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying

Answer:

below

Step-by-step explanation:

perimeter of a semicircle

½ * 2πr

=πr

= 3.142*27

=84.78cm

Answer:

height = 8 cm

Step-by-step explanation:

formula to find area of a parallelogram =

base x height

so

10 x height = 80 cm square.

height = 80/10

=8 cm

9514 1404 393

Answer:

  (A) -2, 3/7, 1/2, 1.2

Step-by-step explanation:

The numbers are in increasing order when they are listed left-to-right as they appear on the number line.

The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.

The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.

The correct ordering is found in choice A.

Answer:

try 492.43, this should be correct if I did this right

Answer:

[tex]=\sqrt[10]{y}[/tex]

So option c is the correct answer

Step-by-step explanation:

[tex]\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}[/tex]

9514 1404 393

Answer:

  False

Step-by-step explanation:

Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.

_____

Additional comment

The point (0, 5) would be translated to (3, 4). That is not what the question is asking.

Answer:

0.36

Step-by-step explanation:

Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .

The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .

72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .

Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36    

& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of words in the dictionary = 88,728 words

No. of words that Mohan read = 35,427 words

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

No. of words left for Mohan to read.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\sf\purple{53,301 \:words. }[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read

= ( 88, 728 - 35, 427 ) words

= 53,301 words

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

Answer:

(x , y ) = (39/22 , -2/11 )

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

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees