1: The best statement for reason 6 of this proof is -∠A ≅ ∠C
-∠B ≅ ∠D
-∠B and ∠D are supplements
-∠B ≅ ∠B

2.The best reason for statements 3.5. and 7 in this proof is
- Alternate interior angles are congruent.
-Corresponding angles are congruent.
-Alternate exterior angles are congruent.
-Interior angles on the same sides of a transversal are supplements.

3. The best statement for reason 8 of this proof is
-∠B ≅ ∠B -∠A and ∠C are supplements.
-∠B ≅ ∠D
-∠A ≅ ∠C

Answer:

22.5

Step-by-step explanation:

cause

Answer:

It is 22.5

Step-by-step explanation:

add up all they shaded parts:

22.5 x 4 = 90 degrees

as each unshaded part is three times more then you do 22.5 x 3 for one part

22.5 x 3 = 67.5 degrees

then times by four because there is four unshaded sections.

67.5 x 4 = 270 degrees

270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.

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Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

Answer:

640

Step-by-step explanation:

800-160=640...............................

Answer:

$800-$160

=$640

Hope it helps.

Answer:

200 cm³ is the volume of the pyramid

Answer:

200 cubic centimeters

Step-by-step explanation:

l = length = 10 cm

w = width = 10 cm

h = height = 6cm

V = lwh / 3

= 10 * 10 * 6 / 3

= 100 * 6 / 3

= 600 /3

= 200 cubic cm

Hope this helps! Tell me if I am incorrect!

Answer:

1:25

Step-by-step explanation:

Given

Dimensions of swimming pool:

Dimensions on paper:

Scale is the ratio of same measurements:

So the scale is 1:25

Answer:

143.32 m

Step-by-step explanation:

Given the following :

Diameter of circular track = 80m

Hillary's speed = 300m per minute

Eugene's speed = 240m per minute

Run time = 50 minutes

Note: they both run in opposite direction.

Calculate the Circumference(C) of the circle :

C = 2πr or πd

Where r = radius ; d = diameter

Using C = πd

C = πd

C = π * 80

C = 251.327

Eugene's distance covered = (240 * 50) = 12000

Hillary's distance covered = (300 * 50) = 15000

Number turns :

Eugene = 12000/ 251.327 = 47.746561

Hillary = 15000/251.327 = 59.683201

Therefore ;

48 - 47.746561 = 0.253439

60 - 59.683201 = 0.316799

(0.253439+0.316799) = 0.570238

Distance which separates Eugene and Hillary when they finish :

0.570238 * 251.327 = 143.32 m

Answer:

B. There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

B.

Step-by-step explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

Answer:

She can go 120 km before she runs out of fuel

It will take 2 hours.

Step-by-step explanation:

150 km is the distance

60 km/ h is the speed

The gas tank is 20 liters

We can go 6 km per liter

Fuel costs .60 dollars per liter

We need to determine how far she can go on a tank of gas

20 liters * 6 km / liter = 120 km

She can go 120 km before she runs out of fuel

120 km  = 60 km/ h  *  x hours

Divide each side by 60

120/60 = x

2 hours

Answer:

Hopes this helps!

Step-by-step explanation:

Answer:

-0.28 and -2.73

Step-by-step explanation:

4x² + 12x + 3 = 0

(-12 +/- √144-48)/8

(-12 + 9.8)/8    and    (-12 - 9.8)/8

-0.28 and -2.73

Answer:

I think D but im not sure

Step-by-step explanation:

Answer:

Freedom is any case,

is only possible

by constantly

struggling for it.

Albert Einstein

Answer:

How many people like both drinks?

To find the overlap, we can do (104 + 74) - 140 = 38.

How many people like tea only?

To find this, we can do 74 - 38 = 36.

How many people like milk only?

To find this, we can do 104 - 38 = 66.

Answer:

Step-by-step explanation:

A = Number of people who likes tea

B = Number of people who likes milk

Total people = n(A U B) = 140

(i) n(AUB) = n(A) + n(B) - n(A ∩B)

n(A∩B) = n(A) + n(B) - n(A ∪B)

n(A∩B)  = 74 + 104 - 140

             = 178 - 140

n(A∩B)  = 38

Number of people who likes both tea and milk = 38

(ii)Number of people who likes tea only = n(A) - n(A∩B)

                                                                  = 74 - 38

                                                                 = 36

(iii) Number of people who likes milk only = n(B) -n(A∩B)

                                                                     = 104 - 38

                                                                     = 66

Answer:

10,12

Step-by-step explanation:

let the two numbers be x and y

difference between x and y is 2

but y is ½x + 4

x -(½x+4) = 2

x - ½x - 4 = 2

½x = 6

x = 12

y = ½x + 4

y = 10

Answer:

y = 4.8

Step-by-step explanation:

Given that y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use the condition when x = 4, y = 7.5 , then

7.5 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )

k = 16 × 7.5 = 120

y = [tex]\frac{120}{x^2}[/tex] ← equation of proportion

When x = 5 , then

y = [tex]\frac{120}{5^2}[/tex] = [tex]\frac{120}{25}[/tex] = 4.8

Answer:

25

Step-by-step explanation:

divide mia's buttons by mila's

225 / 9

=25

Answer:

Step-by-step explanation:

225 ÷ 9 = 25

Mia has 25 times as many buttons as Mila

Answer:

Step-by-step explanation:

if x is the bill and y is the tip ten

x+y>14.50

x<2   and  x≤ 2

when the sign is< then the dot has to be clear , because 2 does not count and x is less than 2 and not equal to 2

when the sign is ≤ the dot on the graph is solid which represent the equal to.

Answer: sometimes true

Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove

[tex] x^3+x^2+2x+2[/tex]

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$

Answer:

Step-by-step explanation:

x³ + x² + 2x + 2 = x²(x + 1) + 2(x+1)

                        = (x + 1) (x² + 2)

Answer:

see explanation

Step-by-step explanation:

(1)

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← complex solutions

(2)

x² - 81 = 0 ( add 81 to both sides )

x² = 81 ( take the square root of both sides )

x = ± [tex]\sqrt{81}[/tex] = ± 9 ← real solutions

Answer:

1. -2

2. 9

Step-by-step explanation:

1. 0 = x2 + 4

  -4 = x2

  [tex]\sqrt{-4}[/tex] = x

x = -2

2. 0 = x2 - 81

   81 = x2

    [tex]\sqrt{81}[/tex] = x

 x = 9

    MARK IT BRAINLIEST!!!

Answer:

[tex]\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}[/tex]

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

[tex]\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi[/tex]

[tex]\sf Area\ of \ Semicircle = 56.55 \ units^2[/tex]

Answer:

18π units²

Step-by-step explanation:

(see attached for reference)

Recall that the area of a whole circle is given by:

A = (π/4) D²,

where D is the diameter of the circle.

We know that the area of a semi-circle is half the area of a whole circle.

Therefore,

Area of Semi Circle

= (1/2) x area of whole circle

= (1/2) x (π/4) D²     (Substitute D = 12 units)

= (1/2) x (π/4) (12)²  

= 18π units²

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

By applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

Recall:

The diagram describing the situation is attached below (see attachment).

Thus:

The reference angle [tex](\theta) = 45^{\circ}[/tex]

Let the length of the rope be x = Hypotenuse

Opposite = 150 m

To find the length of the rope (x), apply SOH

Thus:

[tex]Sin(\theta) = \frac{Opp}{Hyp}[/tex]

[tex]Sin(45) = \frac{150}{x}[/tex]

[tex]x \times Sin(45) = \frac{150}{x} \times x\\\\x \times Sin(45) = 150[/tex]

[tex]\frac{x \times Sin(45)}{Sin(45)} = \frac{150}{ Sin(45)} \\\\\mathbf{x = 212 $ m}[/tex]

Therefore, by applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

Learn more here:

https://brainly.com/question/12718789

Answer:

all real numbers less than or equals to 4

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The interest the company paid is $11 million.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $70 million

r = 5%

t = 3 years

n = 1

A = 70 ( 1 + 0.05)³

A = 70 ( 1.05)³

A = 70 x 1.05 x 1.05 x 1.05

A = $81 million

The amount of interest.

= A - P

= 81 - 70

= $11 million

Thus,.

The interest the company paid is $11 million.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

ANSWER IS ATTACHED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                              PEACE!

Answer:

b) (_6,198,) 1112334dccfsshh

Answer:

c

Step-by-step explanation:

Answer:

None of the choices are correct.

Step-by-step explanation:

[tex] 9x^3 + 9x^2 - 4x - 4 = 0 [/tex]

The polynomial has 4 terms and no common factors. We can try factoring by grouping.

[tex] 9x^2(x + 1) - 4(x + 1) = 0 [/tex]

[tex] (x + 1)(9x^2 - 4) = 0 [/tex]

Now we factor the difference of squares.

[tex] (x + 1)(3x + 2)(3x - 2) = 0 [/tex]

[tex] x + 1 = 0~~or~~3x + 2 = 0~~or~~3x - 2 = 0 [/tex]

[tex]x = -1~~or~~x = -\dfrac{2}{3}~~or~~x = \dfrac{2}{3}[/tex]

None of the choices are correct.

Answer:

Actual SAT Score = 815.284

Equivalent ACT Score = 15.811

The equivalent ACT Score = 29.95

Step-by-step explanation:

From the given information:

Scores on the SAT test are normally distributed with :

Mean = 982

Standard deviation = 198

If a student gets an SAT score that is the 20-percentile

Then ;

P(Z ≤ z ) = 0.20

From the standard z-score for percentile distribution.

z = -0.842

Therefore, the actual SAT Score can be computed as follows:

Actual SAT score = Mean + (z score × Standard deviation)

Actual SAT score =  982 +  (- 0.842 × 198)

Actual SAT score = 982 + ( - 166.716)

Actual SAT score =  982  - 166.716

Actual SAT Score = 815.284

Scores on the ACT test are normally distributed with a mean of 19.6 and a standard deviation of 4.5.

Mean = 19.6

Standard deviation = 4.5

Equivalent ACT Score = 19.6 +  (- 0.842 × 4.5)

Equivalent ACT Score = 19.6 +  ( - 3.789)

Equivalent ACT Score = 15.811

If a student gets an SAT score of 1437, find the equivalent ACT score.

So , if the SAT Score = 1437

Then , using the z formula , we can determine the equivalent ACT Score

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z = \dfrac{1437 - 982}{198}[/tex]

[tex]z = \dfrac{455}{198}[/tex]

z =2.30

The equivalent ACT Score = 19.6 + (2.30 × 4.5)

The equivalent ACT Score = 19.6 +  10.35

The equivalent ACT Score = 29.95

Answer:

Mid point is: (2.8;4.9)

Step-by-step explanation:

To find midpoint of a line segment we can use the general equation:

[tex]Mid=\frac{x_1+x_2}{2} ;\frac{y_1+y_2}{2}[/tex]

Where the point of the line are: (x₁;y₁) and (x₂;y₂).

In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

[tex]Mid=\frac{2.6+3}{2} ;\frac{5.1+4.7}{2}[/tex]

Answer:

(2.8, 4.9)

Step-by-step explanation:

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

a + d = a2

Answer:

The correct option is;

Yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.

Step-by-step explanation:

Based on the the given information

The number of congruent sides = One  which is AC is congruent to AC which is the reflexive property

The number of given congruent angles = One which is angle ∠ABC is congruent to ∠ADC

However, where angle ∠ABC is congruent to ∠ADC, we have AD is parallel to BC, therefore, ∠BAC is congruent to ∠DCB, and BA is parallel to CD, therefore AD is congruent to BC and DC is congruent to AB

Therefore the correct option is yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.