Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle. She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral. Which statement is true? A. Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral. B. Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral. C. Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral. D. Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the third leg is of the length 4[tex]\sqrt{5}[/tex]

Answer:

C: SSS

Step-by-step explanation:

Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:

i) All three corresponding angles are the same (AAA)

ii) All three corresponding sides are the same proportion (SSS)

iii) Two corresponding angles are equal and a side is in the same proportion (ASA)

iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)

Given that:

AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6

[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]

Since All the sides are in the same proportion, it supports the SSS rule.

Answer: SSS

I have done this assignment before

Answer:

6/50

Step-by-step explanation:

Jenny pulled out 6 purple tiles out of the 50 trials

Answer: The experimental probability of Jenna pulling a purple tile is 6/50.

Step-by-step explanation:

In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.

Answer:

1. Find the difference between the areas.

Area of the small rectangle: [tex](x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14[/tex]

Area of the big rectangle: [tex](x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99[/tex]

The difference is: [tex]11x+85[/tex]

[tex]( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85[/tex]

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

[tex]f(d)=h=-2d^2+7d+4[/tex]

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

[tex]f(0)=h=-2(0)^2+7(0)+4[/tex]

[tex]h=4[/tex]

The height is 4 meters.

b) 9 meters.

For [tex]d=1[/tex]

[tex]f(1)=h=-2(1)^2+7(1)+4[/tex]

[tex]f(1)=h=-2+7+4[/tex]

[tex]h=9[/tex]

b) The ball travels 4 meters.

But to calculate it, it is when [tex]h=0[/tex]

[tex]0=-2d^2+7d+4[/tex]

Using the quadratic formula:

[tex]$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$[/tex]

[tex]$d=\frac{-7\pm\sqrt{81}}{-4}$[/tex]

[tex]$d=\frac{-7\pm9}{-4}$[/tex]

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

[tex]$d=-\frac{1}{2} \text{ or }d=4$[/tex]

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (2.5)^2 \cdot 5[/tex]

[tex]V=31.25 \pi[/tex]

[tex]V_{c} \approx 98.17 \text{ m}^3[/tex]

The volume of the sphere:

[tex]$V=\frac{4}{3} \pi r^2$[/tex]

[tex]V_{s} \approx 65.4 \text{ m}^3[/tex]

The volume of the capsule is approximately [tex]163.57 \text{ m}^3[/tex]

Answer:

B

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

SR = PQ , that is

8a - 4 = 6a + 10 ( subtract 6a from both sides )

2a - 4 = 10 ( add 4 to both sides )

2a = 14 ( divide both sides by 2 )

a = 7

In a parallelogram consecutive angles are supplementary, thus

∠ P + ∠ Q = 180, that is

18b - 11 + 9b + 2 = 180, that is

27b - 9 = 180 ( add 9 to both sides )

27b = 189 ( divide both sides by 27 )

b = 7

Thus c = a + b = 7 + 7 = 14 → B

Answer:

Rs.34,944

Step-by-step explanation:

(6006 km)/(66 km) = 91

The distance from his hometown to Delhi is 91 times 66 km.

He will need 91 times the amount of petrol.

91 * Rs.384 = Rs.34,944

Answer:

Point form (2, -1/3   Equation form: x=2, y= -1/3

Step-by-step explanation:

Combine 4/3 and x

Replace all occurrences of y in 4x−6y=10 with 4x/3 -3

Simplify 4x− 6 (4x/3 -3)

Solve for x in the second equation.

Simplify  

4(2) /3−3

Answer:

346.4 cm^2

Step-by-step explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

[tex] \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} [/tex]

[tex] \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} [/tex]

[tex] UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} [/tex]

[tex] UW = 50.1 [/tex]

Now drop a perpendicular from V to UW to be the height, h.

[tex]\sin 24^\circ = \dfrac{h}{UV}[/tex]

[tex] \sin 24^\circ = \dfrac{h}{34} [/tex]

[tex] h = 34 \sin 24^\circ [/tex]

[tex] h = 13.8 [/tex]

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2

Answer:

The actual distance between the two places to the nearest tenth of a kilometer is 63.3 km

Step-by-step explanation:

Here, we want to get the actual distance between two places on a map, given the scale used to draw the map and the distance of both places on the map, in terms of the scale.

The scale used here is 1cm to 11.5km

Since 1cm = 11.5km

then 5.5cm = x km

Thus ; x = 5.5 * 11.5

x = 63.25 km

Our answer in wanted to the nearest tenth of a kilometer so the answer is 63.3 km

Answer:

x+9

Step-by-step explanation:

If we use syntetic division we get that

[tex]x^2+2x-63=(x+9)(x-7)[/tex]

Answer:

(x+9)(x-7)

Step-by-step explanation:

For this trinomial, we will factor the constant at the end into 7 and 9.  From here we will break down the trinomial into a binomial form.

(x + or - #) ( x + or - #)

We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.

(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63

Cheers.

Answer:

81pi or 254.34 inches square

Step-by-step explanation:

18pi = 2pi*r

pi*r = 9pi

r = 9

pi*(9)^2 = 81pi = 254.34 inches square

Answer: 81 pi inches, or around 254.34 inches.

Step-by-step explanation:

Since the formula for circumference of a circle is 2piR (where R would be the radius), we know that the radius of this circle is 9. From that, we simply need to plug it into the formula for area of a circle: piRsquared. 9 squared is 81, and pi is around 3.14.

Hope this helped.

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

•  If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

Answer: This triangle is not a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides.  Thus, 5^2+9^2=13^2.  Simplify this to get 25+81=169, then 106=169.  Because 106 does not equal 169, it is not a right triangle.

Hope it helps <3

Answer:

A. Inverse variation

B. Direct variation

C. Direct variation

D. Inverse variation

Hope this helps you

Here is your answer!!!

Cube root of 10648 is 22.

Answer:

22

Step-by-step explanation:

[tex]\sqrt[3]{10648}[/tex] factors into [tex]\sqrt[3]{22^{3} }[/tex]

You then apply the radical rule: [tex]\sqrt[n]{a^{n} }[/tex]=a

In in this case a = 22

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Let's put this into numbers: [tex]\frac{3}{4}[/tex]x =-6

The first thing you want to do is to multiply both sides by 4:

3x=-24

Next you need to divide by 3:

x=-8

The answer is -8

Answer:

-8

Step-by-step explanation:

Let's put this into numbers: x =-6

The first thing you want to do is to multiply both sides by 4:

3x=-24

Next you need to divide by 3:

x=-8

The answer is -8

Answer:

-59.5

Step-by-step explanation:

We are given the expression

-3|t − 8| + 1.5

t = -12

Subtituting -12 for t in the expression, we have:

-3|-12 - 8| + 1.5

-3|-20| + 1.5

Note : |-20| = 20

-3 × 20 + 1.5

= -60 + 1.5

= -59.5

The value of the expression = -59.5

Answer:

False

Step-by-step explanation:

To be able to answer this, we will need to make a reference to the sum and product formula.

What we have in the question is the product and we want to see if the sum correlates.

Using the sum formula, we have the value on the right hand side as;

(1/2)[sin(x+y)+sin(x-y)]

Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

"Perimeter of a polygon is the sum of measures of all the sides of the polygon."

By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

                = 3x + 4 + (x + 4) + 4

                = 4x + 12

Hence, Perimeter = (4x + 12)

Answer:

* Lucy spent £289.2 on tiles *

Step-by-step explanation:

We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -

[tex]\frac{13}{2}[/tex] = [tex]\frac{x}{16}[/tex] ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,

13 [tex]*[/tex] 16 = 2[tex]x[/tex],

208 = 2[tex]x[/tex],

[tex]x[/tex] = 104 white tiles

So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,

£2.80 [tex]*[/tex] 16 = £44.8,

£2.35 [tex]*[/tex] 104 = £244.4,

Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2

Lucy spent £289.2 on tiles

[tex]\frac{13}{2} = \frac{x}{16}\\\\ 13\times 16 = 2x\\\\ 2 x = 208[/tex]

x = 104 while tiles

Now the total amount should be

[tex] 2.80 \times 16 = 44.8\\ And, \\ 2.35 \times 104 = 244.4[/tex]

So,

= 44.8 + 244.40

= 289.2

Learn more: https://brainly.com/question/10283285?referrer=searchResults

Answer:

[tex]2^{-98}[/tex]

Step-by-step explanation:

[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]

[tex](2^{-14})^{7}[/tex]

[tex]2^{-98}[/tex]

Answer:

[tex]\boxed{\frac{1}{2^{98}} }[/tex]

Step-by-step explanation:

[tex](\frac{2^{-10}}{4^2} )^7[/tex]

=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]

=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]

Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> [tex](2^{-10-4})^7[/tex]

=> [tex](2^{-14})^7[/tex]

=> [tex]2^{-98}[/tex]

=> [tex]\frac{1}{2^{98}}[/tex]

Answer: the answer is C.

Step-by-step explanation: 5 is lesser than or equal to meaning its a open sign. and 2 is the opposite.

Answer:

The answer is C!

Step-by-step explanation:

Hope you have a great day :D

(Brainliest?)

Answer:

A.

Step-by-step explanation:

When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.

Answer:

Average speed for the entire trip, both ways, is

                (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,

and we don't know how long it took him to get back.

We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.

-- 50 minutes is 5/6 of an hour.

-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.

-- The gift store is 5 miles from his house.

-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.

-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:

        Going:       5 miles

        Returning:  5 miles

        Total         10 miles

Time:

        Going:        50 minutes

        Returning:   25 minutes

        Total:          75 minutes  =  1.25 hours  

        Average speed for the whole trip =

                      (total distance) / (total time)

                  =      (10 miles)  /  (1.25 hours)

                  =       (10 / 1.25)  miles/hours

                  =          8 miles per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

         |x+3| = 12    

x+3 = 12   or   x+3 = -12

x = 9        or    x = -15

Answer:

77 degrees

Step-by-step explanation:

The diagram is drawn and attached below.

m∠3= (3x + 4)°

m∠5 = (2x + 11)°

Angles 3 and 5 are co-interior angles and are therefore supplementary (add up to 180 degrees).

(3x + 4)°+(2x + 11)°=180°

5x+15=180

5x=180-15

5x=165

x=33

Therefore, the measure of angle 5

m∠5 = (2x + 11)°

= (2(33) + 11)°

=66+11

=77°

The measure of angle 5 is 77 degrees.

Answer:

64

Step-by-step explanation:

Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.

Answer:

B

Step-by-step explanation:

its a graph and I agree math is dumb

Answer:

agreed

Step-by-step explanation: