11. Choose the correct answer.

Which theorem or postulate could be used to prove the congruence of the triangles

The length of the chord of the circle CD is 3.2.

A chord of a circle is a section of a straight line whose ends both fall on an arc of a circle. A secant line, often known as secant, is a chord's infinite line extension.

Given that the vertical length from the centre to the chord is 2.1 and the length up to the circle is 1.7.

Radius = 1.7 +2.4 = 4.1.

The chord length will be calculated as,

CD = √(4.1² - 2.4²)

CD = √(16.81 - 5.76)

CD = 3.2

Therefore, the length of the chord of the circle CD is 3.2.

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The order of the quotient from smallest to largest is given as follows:

42.6/70, 426/70, 42.6/0.07, 42.6/0.07.

A quotient is given by the division of two terms a and b, that is:

a / b.

From this, we have that the dividend a and divisor b are inverse proportional, that is:

There are three divisions with the same term a, hence they are ordered, from smallest to largest, as follows:

42.6/70, 42.6/0.07, 42.6/0.07.

(the smallest the value of b, the largest the quotient).

The final quotient is:

426/70.

Dividing by 10 to have an equivalent value of a, we have that:

426/70 = 42.6/7.

Which is the second largest value of b, hence the second smallest quotient.

The problem is given by the image shown at the end of the answer.

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Gas left after 2 hours is 1.5 gallons and the function that represent the gas which is left in the tank after driving for t hours is 13 - 0.75t gallons.

Zoe is driving on a long road trip.

The amount of gas she has in her car = 13 gallons.

It is given that each hour that she drives,  functions her car uses up 0.75 gallons of gas.

So, Gas used in the car for one hour = 0.75 gallons

Gas used in the car for two hours = 0.75*2 =  1.5 gallons

Hence, Gas left in the tank after driving for 2 hours = 13 - 1.5 = 11.5 gallons.

Now,functions

Gas used in the car for t hours = 0.75*t =  0.75t gallons

Gas left in the tank after driving for t hours = 13 - 0.75t gallons.

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Answer:-2/5

Step-by-step explanation: due to them being negative we are using the simple thing of which number is closer to zero. -2/5 is closer which means that is it greater. -2/5 would be ahead on number line if you need a visualization

Answer:

-3/8

Step-by-step explanation:

1) Work out the options you are given

2) Find which one is greater

As the numbers are decimal the 'seemingly greater number' might actually be the smaller one.

To find out which decimal is greater you can easily plot them into a number line.

The number that is further to the left is smaller and the number closer to the right is higher!

If we were to plot the numbers one a number line the -0.375 would be closer to the right meaning it is greater.

HINTS:

To make it easier to divide minus numbers, at first completely forget about the minus (you can plug it back in at the end).

For example, if you were given -2/5 get rid of the minus to get 2/5 and from this we can easily figure out 2 ÷ 5 which would give us 0.4.

At the point where you have your final number you can add the - back in making it -0.4

Hope this helps, have a great day!

Answer:

Step-by-step explanation:

OK:

1. Isolate the x on the left side of inequality. Always remember if a number or variable crosses inequality, it becomes opposite!

4x ≤28

x ≤28/4

x ≤7

2. Double Check!

4*7 ≤28

28 ≤28 TRUE

x=7(s) or Choice A

Answer: the slope is 1/4

Step-by-step explanation:

(2,0.5)    (4,1)

Use the formula for finding the slope:

        [tex]\boxed {The\ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]x_1=2\ \ \ \ x_2=4\ \ \ \ y_1=0.5\ \ \ \ y_2=1\\[/tex]

Hence,

[tex]\displaystyle\\The\ slope=\frac{1-0.5}{4-2}\\\\The\ slope=\frac{0.5}{2}\\\\The\ slope=0.25\\\\The\ slope=\frac{1}{4}[/tex]

Answer:

3 inches

Step-by-step explanation:

Let's call the heights H1 thru H4.

So we have

H1/H2 = 24/5

H2/H3 = 1/12

Therefore if we multiply these, we have

H1/H3 = 2/5

Finally we are given

H1/H4 = 16/1.

By logic we can see that H3 is the tallest.

Thus if H3 = 10 feet, H1 = 4 feet

And from that,

H2 = 1/12 (10 feet) = 5/6 feet = 10 inches

and finally

H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot =

3 inches

Answer:

3 inches

Step-by-step explanation:

Let's call the heights H1 - H4

Here, we have

H1/H2 = 24/5

H2/H3 = 1/12

And so, we have

H1/H3 = 2/5

Finally

H1/H4 = 16/1.

Thus if H3 = 10 feet, H1 = 4 feet

And from that,

H2 = 1/12 (10 feet) = 5/6 feet = 10 inches

And last,

H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot = 3 inches

Answer:

y = 5x -2

Step-by-step explanation:

The 5 is the slope.  It is the change in y over the change in x.  As the x changes by 1, the y changes by 5.

The -2 is the y intercept.  This is at the point (0,-2)  The -2 is the y intercept.

Answer:

Step-by-step explanation:

Equation: $4 = 0.2x + $1.60

1. Subtract $1.60 from both sides to get $2.4 = 0.2x

2. Divide both sides by 0.2 to get the value of x. 12 = x.

ANSWER: You need to buy 12 chicken wings at restaurant Z for the cost to be the same. Hope this helped

Answer:

x=12

Step-by-step explanation:

turn into and equation because angles in a triangle add up to 180°

so

6x-19+3x+7+84=180

collect like terms

9x+72=180

solve to find 'x'

9x=108

x=12

Answer:

The correct answer is C. -29.

Step-by-step explanation:

insert -29 for x,

subtract -7 from -29,

then multiply by 2 to get your answer.

The vertices of the figure after geometric translations are (11, 5), (5, 4), and (9, 7).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The vertices are D(2,8), F(1,2) and G(4,6).

Points become after reflection:

D'(8, 2), F'(2, 1), G'(6, 4)

After applying translation:

D''(8+3, 2+3) = (11, 5)

F''(2+3, 1+3) = (5, 4)

G''(6+3, 4+3) = (9, 7)

Thus, the vertices of the figure after geometric translations are (11, 5), (5, 4), and (9, 7).

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As a result, the tunnel is 13.83 feet high, 5 feet from the edge.

An ellipse is an oval curve on a plane that contains two fixed points called foci. The sum of the distances between the two foci from each point on the ellipse is constant at all points.

Since the tunnel has an arch that is semi-elliptical, we can put the ellipse's center at the center of its 60-foot width.

What is an ellipse?

An ellipse is a two-dimensional shape that is defined by its axes in geometry. When a plane intersects a cone at an angle to its base, it creates an ellipse. It focuses on two things. For each point in the curve, the sum of the two distances to the focal point remains constant.

What are an ellipse and an example?

An ellipse is the locus of points whose sum of their distances from its two foci is constant and has an eccentricity of less than one. The two-dimensional egg shape and the running tracking in a sports stadium are simple examples of the ellipse in our everyday lives.

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Answer: the formula to find circumference is C=2times pie which is 3.14 times the radius. Radius is half of the diameter which in this case I believe would be 20 times that by 3.14 and get 62.8 then times that by two which gives you the answer of 125.6

Step-by-step explanation: correct me if I’m wrong

the given numbers in standard form can be expressed as :

1. 1.5 × [tex]10^-10[/tex]

2. 4 × [tex]10^1 ^3[/tex]

3. 5 × [tex]10^-^2^1[/tex]

Standard form refers to any number that can be expressed as a decimal number and falls within the range of 1.0 and 10.0 when multiplied by a power of 10. The standard form of 123,000,000 is 1.23 108 because, if you look closely, 1.23 is a decimal number between 1.0 and 10.0.

1. The given numbers are (5x10^-4)x(3x10^-5)

On multiplying the natural numbers first we get :

15 × [tex]10^{-9}[/tex]

1.5 × [tex]10^-10[/tex]

2. The given numbers are  (2.8x10^9) and (7x10^5)

on dividing them we get

0.4 ×[tex]10^1 ^4[/tex]

4 × [tex]10^- ^1[/tex] ×[tex]10^1 ^4[/tex]

4 × [tex]10^1 ^3[/tex]

3. The given numbers are (2x10^-14) divided by (4x10^-6)

Thus after dividing the natural numbers we will get

0.5 ×[tex]10^- ^2 ^0[/tex]

On further simplifying we get

5 × [tex]10^ -^1[/tex] ×[tex]10^- ^2 ^0[/tex]

5 × [tex]10^-^2^1[/tex]

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a local ice skating rink wishes to determine the age of its customers.  then 10% of lottery winners are 70 years or older

Age____ Freq__R/freq____ Cumm Rel Freq

[20,29]___3____ 0.1________ 0.1

[30,39]__ 10__ 0.3333_____ 0.4333

[40,49]__ 2__ 0.0667______ 0.5

[50,59]__ 7 __0.2333 _____0.7333

[60,69]__ 4 ___0.1333 ____0.8666

[70,79]___ 3 ____0.1 ______0.9666

[80,89]___ 1 ___0.0333 ____0.9999

A.) What is the frequency of lottery winners of age between 19 and 40?

Frequency = (3 + 10) = 13 winners

B.) What percentage of lottery winners are 70 years or older?

From the relative frequency table = 0.1 (3/30) = (0.1 * 100%) = 10%

complete question is

Given the frequency distribution for the data, Age Frequency Relative Frequency Cumulative Relative Frequency [20,29] 3 0.1 0.1 [30,39] 10 0.3333 0.4333 [40,49] 2 0.0667 0.5 [50,59] 7 0.2333 0.7333 [60,69] 4 0.1333 0.8666 [70,79] 3 0.1 0.9666 [80,89] 1 0.0333 0.9999 What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older?

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Answer:

O up to the left, down to the right

Step-by-step explanation:

The function in your question will do the same thing that

f(x) = -x³ does.

Actually, even simpler, it will have the same end behavior as

f(x) = -x

which is just a line with negative slope, going down from left to right. The way end behavior is described: up to the left and down to the right.

In fact, all the functions with odd power as the biggest exponent will have the same end behavior.

(If the highest exponent is even, it acts like a parabola up+up or down+down.)

Answer:

4x+x+x+90=360

6x+90=360

6x=270

x=45

good luck!

4x+x+x+90=360

6x+90=360

6x=270

x=45

The value of h(x) = -40x2 – 52x + 18. Option (b) is correct.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable is defined as a function.

Given functions

f(x) = -5x − 9

g(x) = 8x − 4

we have to determine which equation defines function h

f(x) = -5x − 9

g(x) = 8x – 4

(f x g) (x) = (-5x –9)(8x – 4)

(f x g) (x) = -40x2 + 20x – 72x + 36

(f x g) (x) = -40x2 – 52x + 18

Therefore the value of  h(x) = -40x2 – 52x + 18. Option (b) is correct.

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Answer:a) No, the first support starts at (0,0) and the 2nd one starts at (2,1)

b) No, first one ends at (2,1) 2nd one ends at (6,3)

c) No, 2 ( 0 to 2) does not equal 4 ( 2 to 6)

d) No, 1 ( 0 to 1) does not equal 2  (1 to 3)

e) Yes, this is the slope of the diagonal line: 1/2

MARK BRAINILEST I GOT SO CONFUSED BUT I UNDERSTAND NOW.... Peace Out?

Step-by-step explanation:

Answer: 86 86/91 or 7912/91

Work: So you multiply 3/4x by what is in the parenthesis like this: 3/4x*5/6-3/4x*4/23. and you get 5/8x-3/23x=43. And then you simplify to get 91/184x=43 then u multiply both sides by 184 to get rid of the fraction. and you get 91x=7912. then you divide both sides by 91 and you get x=7912/91 or 86 86/91

Answer: 13 units

Step-by-step explanation:Given that Point C is the midpoint of AB and point B is between points A and D. If AD = 17 and BD = 9

According to definition midpoint, AC = CB

According to definition of segment addition postulate, AD = AB + BD

AB = AD - BD

AB = 17 - 9

AB = 8

Again, AB = AC + CB

Therefore, CB = AB/2

CB = 8/2 = 4

Now, CD = CB + BD = 4 + 9

CD = 13 units

Hence, length of CD = 13 units

Answer:

Im guessing it would be a positive change

Step-by-step explanation:

part a had the cost of $100,000 while part b had the cost of $210,000

therefore, part b increased $110,000 from 2000 to 2008.

this is my guess.

Using this probability, he would have to make 42.18% or 42 free throws, thus avoiding 27 free throws.

Averaged over 3 out of 4 free throws, the probability of a successful free throw is 0.75 and the probability of a missed free throw is 0.25.

There are several ways to score 3 of the 4 free throws.

Miss Hit Hit Hit

Hit Miss Hit Hit

Hit Hit Hit Hit Hit

So to calculate this probability we need to multiply the probability of each shot. Because when it comes to multiplication, the order of multiplication doesn't matter, it's just the numbers that matter, only her 4-day probability that the shot will be taken. be the same.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18% shot will be taken.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18%.

Hence, Eve had to make 42 free throws for getting 27 throws are mied.

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Answer: Calvin is incorrect because as you can see from my table, when we have the fraction ⅛ we get a terminating decimal proving that he is wrong.

Step 1: Create a table that shows the unit fraction and the decimal of each (the r stands for repeating, and ra stands for random numbers). To convert the unit fraction to a decimal, simply type it in your calculator, but use the division sign instead of the fraction bar. I stopped my table at ⅛ since that is where we find our answer, but you can keep going. My table is attached.

Step 2: Formulate a well thought out explanation of why he is wrong. Example: My answer above.

Answer:

Below

Step-by-step explanation:

k =  280 / 5 = Php 56 /hr

          money earned =  k x       where x = # of hours

     For 8 hours :    money earned =   56 * 8  = Php 448