Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 34°. What is m∠D?
56°

34°

64°

46°

The table that represents the survey conducted by Isabel is:

                               Like Dolls        Don't like Dolls    Total

Like Trains                40                             15                  55

Don't like Trains         17                               8                 25

Total                           57                             23                80

The total number of kids that like dolls = total number kids - total number of kids that don't like dolls

80 - 23 = 57

Number of kids that don't like Trains but like dolls = total number kids that like dolls - Number of kids that  like Trains and dolls

57 - 40 = 17

Number of kids that don't like dolls and but like trains :

30% x 23 = 7

(23 - 7) /2 + 7 = 15

Number of kids that don't like dolls and trains = (23 - 7) / 2 = 8

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Let's see

[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]

[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]

[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]

Either x=8

Or

Solution set

x[8,10]

Answer:

- a frequency table is how much a number occurs, for example there are 4 10's in data list given so the frequency is 4

- the prompt asked for a width of 6 so 1 - 6, there was no numbers of 1, 2, 3, 4, 5, 6 in the list making the frequency 0

Answer:

100

Step-by-step explanation:

75 + 80 + 100 divided by 3 = 85

Step-by-step explanation:

remember, 360° (the full circle) = 2pi

a)

60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =

= 1.047197551... ≈ 1.047

b)

210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =

= 3.665191429... ≈ 3.665

c)

225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =

= 5/4 × pi = 3.926990817... ≈ 3.927

d)

120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =

= 2.094395102... ≈ 2.094

Answer:

A) $4,905 B) $5,310

Step-by-step explanation:

To get the answer, just simply add the amount by the percentage.

4,500 + 9% = A

For 2 years, just do 9 x 2 = 18 because it's 2 years

4,500 + 18% = B

Answer:

I believe he would need 12 batteries

Answer:

A - As the length increases, the wingspan increases.

Very sorry if I got it wrong but I think it is A.

Answer:

I think it's A

Step-by-step explanation:

As the length increases the wingspan increases

Answer: 48 degrees

Step-by-step explanation:

Dilations preserve angle measure.

The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

Conic sections provide a format that makes them fairly uncomplicated to draw manually.

Then the equation of the ellipse will be

(x - 5)² / 16 + (y + 7)² / 64 = 1

Then the equation of the hyperbola will be

(x + 1)² / 4 - (y)² / 64 = 1

The graphs are given below.

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Step-by-step explanation:

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - ( - 9) = 8.(x - ( - 2))[/tex]

[tex]y = 8x + 16 - 9[/tex]

[tex]y = 8x + 7[/tex]

Answer:

y = 8x + 7

Step-by-step explanation:

We are given that a line contains the point (-2, -9), and a slope of 8

We want to write the equation of this line

There are multiple ways to write the equation of the line:

The most common of these 3 methods is slope-intercept form, so let's write our equation this way

As we are already given the slope, we can immediately plug that into our formula for m

Replace m with 8:

y=8x+b

Now we need to find b

As the equation passes through (-2, -9), we can use its values to help solve for b

Substitute -2 as x and -9 as y:

-9 = 8(-2) + b

Multiply

-9 = -16 + b

Add 16 to both sides

7 = b

Substitute 7 as b.

y = 8x + 7

Topic: finding the equation of the line

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Answer:

2 1/3 longer

Step-by-step explanation:

yw ;)

Answer:

⅓

Step-by-step explanation:

Expression : 3 ⅚ - 3 ½

3 ½ would become 3 3/6.

3 ⅚ - 3 3/6 = 2/6 = 1/3

Answer:

I know i'm late but I think this might be right, I don't know, I used a website-

Step-by-step explanation:

When

√x-1

STEP

1

:

Isolate the square root on the left hand side

    Radical already isolated

    √x-1 = 0

STEP

2

:

Eliminate the radical on the left hand side

    Raise both sides to the second power

    (√x-1)2 = ()2

    After squaring

    x-1 =

STEP

3

:

Solve the linear equation

    Rearranged equation

    x -1 = 0

    Add  1  to both sides

    x = 1

    A possible solution is :

    x = 1

STEP

4

:

Check that the solution is correct

    Original equation

    √x-1 =

    Plug in 1 for  x

     √(1)-1 =

     Simplify

     √0 = 0

     Solution checks !!

    Solution is:

     x = 1

also, want to talk and be friends?

       ~Dreamer1331~

Figure a: The area of the triangle is 13.3 sq. km.

Figure b: The area of the rectangle is 57.4 sq. cm.

Figure c: The area of the parallelogram is 45.5 sq. km.

Figure d: The area of the trapezoid is 24.36 sq. m.

The area of a two-dimensional closed figure is the total space within its boundary.

In the question, we are asked to find the area of the given shapes.

Figure a:-

It is showing a triangle.

The area of a triangle is calculated using the formula:

Area = (1/2)*Base*Height.

Thus, the area of the triangle

= (1/2)*7*3.8 sq. km

= 13.3 sq. km.

Figure b:-

It is showing a rectangle.

The area of a rectangle is calculated using the formula:

Area = Length*Width.

Thus, the area of the rectangle

= 8.2*7 sq. cm

= 57.4 sq. cm.

Figure c:-

It is showing a parallelogram.

The area of a parallelogram is calculated using the formula:

Area = Base*Height.

Thus, the area of the parallelogram

= 9.1 * 5 sq. km

= 45.5 sq. km.

Figure d:-

It is showing a trapezoid.

The area of a trapezoid is calculated using the formula:

Area = (1/2)*(Sum of parallel sides)*(height).

Thus, the area of the trapezoid

= (1/2)*(2.7 + 8.9)*4.2 sq. m.

= 11.6 * 2.1 sq. m.

= 24.36 sq. m.

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The period of time does the stock price rise is 0 ≤ t ≤ 10/3.

It would sell in 3.34 days.

It is the process of finding the derivative, or rate of change, of a function.

The price of a certain computer stock after t days is

p(t) = 100 + 20t - 3t²

Now, take the derivative of the given function and equate it to zero to find the critical points,

p'(t) = 20 - 6t = 0

t = 20/6

t = 10/3 days

Thus, there are two intervals in which the given function is defined

(0, 10/3) and (10/3, ∞)

For the interval (0,10/3 ),

p'(1) = 20 - 6(1) =14

For the interval (10/3, ∞),

p'(2) = 20 - 6(2) = 8

Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.

0 < t <10/3

Since at the point t = 3.34 days it would sell.

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Answer:

Rates of change:

school library: $0.25 per day;

city library: $0.35 per day

| Snapsolve. ... where \(c\) is the total cost and \(d\) is the number of days a book is late. The fees charged by a city library are shown in the table

Step-by-step explanation:

Answer:

it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.

Step-by-step explanation:

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with right angle triangle having hypotenuse ( longest side ) = c , perpendicular = 5 and base = 12 . And we are asked to find the length of missing side i.e. hypotenuse and if necessary we have to round it off to 2 decimal places.

We can find the missing side by using Pythagorean Theorem . It states that sum of squares of perpendicular and base is equal to square in a right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

SOLUTION : -

Substituting value of hypotenuse as c , perpendicular as 5 and base as 12 in formula :

[tex] \quad \longmapsto \qquad \: (c) {}^{2} = (5) {}^{2} + (12) {}^{2} [/tex]

Squaring 5 and 12 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 25 + 144[/tex]

Adding 25 and 144 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 169[/tex]

Applying square root to both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{(c) {}^{2} } = \sqrt{169} [/tex]

On simplifying , We get :

[tex] \quad \longmapsto \qquad \orange{\underline{\boxed{\frak{c = 13}}}} \quad \bigstar[/tex]

Verifying : -

Now we are checking our answer by putting all values in formula . So ,

Therefore , our answer is correct .

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (12) {}^{2} + (5 {)}^{2} }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 144 + 25 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 169 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c = \sqrt{169} }}} \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c= 13 }}}\\ \\[/tex]

Therefore,

Answer:

1

Step-by-step explanation:

Answer:

There is only 1 variable and it is v.

There is no coefficient.

That means the coefficient is 1.  

The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.

Given that,

[tex]\frac{1}{2}[/tex] is the coefficient

[tex]v[/tex] is the variable

[tex]3[/tex] is the constant

Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

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Answer:

Step-by-step explanation:

Hayden is correct. 3(2x + 1) = 9x.

Here is explanation:

If you didn't know, 2x + 1 would simply be 3x.

So then, 3 * 3x would then be 9x.

Here is math explanation:

You now have your answer!

Answer:

68

Explanation:

Sets of equations:

1) a + b = 10

2) a - b = 6

Make 'a' the subject:

1) a = 10 - b --- equation 1

2) a = 6 + b --- equation 2

Solve them by substituting:

⇒ 10 - b = 6 + b

⇒ -b - b = 6 - 10

⇒ -2b = -4

⇒ b = 2

Find value of 'a', a = 10 - b, a = 10 - 2 = 8

Then find (a²+b²), by inserting a = 8, b = 2,

⇒ ((8)²+(2)²) = 64 + 4 = 68

Step-by-step explanation:

given,

a+b=10.............( eqn 1)

a-b=6................(eqn 2)

adding eqn1 and eqn2

a+b=10

a-b=6

______

2a=16

a=16/2

a=8

putting the value of a in eqn 1

a+b=10

8+b=10

b=10-8

b=2

now,

(a²+b²)= 64+4=68

Answer:

2.8

Step-by-step explanation:

To find the mean aboslute deviation, you first need to find the mean:

(4 + 6 + 7 + 10 + 13)/5 = 8

Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.

4 - 8 = -4 = 4

6 - 8 = -2 = 2

7 - 8 = -1 = 1

10 - 8 = 2 = 2

13 - 8 = 5 = 5

Then, take the mean of all of these values:

(4 + 2 + 1 + 2 + 5)/5 = 2.8

Answer:

B. Vertical angles

Step-by-step explanation:

Answer:

61 hot dogs

122 sodas

Step-by-step explanation:

x+x2=183

3x=183

183÷3=

61

Answer:

(573+9/2 cubic inches

Step-by-step explanation:

the answer is A

Answer:

To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The odds against winning a prize in the raffle are 13:1

This means 13 to 1 odds for winning:

The probability of winning a prize:

Winning = 13/(13+1) = 0.929 or

=92.8571%

Losing = 1 - 0.9286 = (0.0714) or

=7.14%

Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

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Answer:

0.071

Step-by-step explanation:

If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.