What is the answer? Pls help

Answer:

∠ABD ≅ ∠CBE

Step-by-step explanation:

So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.

So does ABD = CBE?

Well we can model that with our xs.

ABD = ABC + CBD

so ABD = x + CBD

CBE = DBE + CBD

so CBE = x + CBD

Look at what we have!

x + CBD = x + CBD.

You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.

Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.

Answer:

4

Step-by-step explanation:

g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14

|f(2)| = | 2^2 -3| = | 4-3| = 1

(g(3) +2) = (14+2) = 16

4*  |f(2)|  = 4*1 = 4

16/4 = 4

Answer:

Its 90 degrees

idk if this helps but i hope it does :)

Step-by-step explanation:

Answer:

7-x

Step-by-step explanation:

49 - x^2 is a perfect square so

it factors to :(7+x)(7-x)

since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)

Forgive me for my lame explanation :')

Answer:

B)

Step-by-step explanation:

If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.

The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:

I = [1 0 ; 0 1]

(First line: 1 0, second line: 0 1)

So the correct option is B)

Answer:

A

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

Answer:

a.

Step-by-step explanation:

A non leap year has 365 days. February of a non leap year has 28 days.

365 - 28 = 337

There are 337 days in a non leap year that are not in February.

p(not February) = 337/365

Answer:

c. 412.5 cm^2

Step-by-step explanation:

first triangle: 5 x 15 = 75

75/2 = 37.5

rectangle:  15 x 19 = 285

triangle 2: 15 x 12 = 180

180/2 = 90

37.5 + 285 + 90 = 412.5

Answer:

Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.

Step-by-step explanation:

Answer:  A

Step-by-step explanation:

Reflection across y = 3

The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)

U = (-5, 4) is 1 unit above y = 3

U' = (-5, 2) is 1 unit below y = 3

T = (0, 5) is is 2 units above y = 3

T' = (0, 1) is 2 units below y = 3

S = (-4, 2) is 1 unit below y = 3

S' = (-4, 4) is 1 unit above y = 3

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)

U' = (-5, 2) is 4 units to the left of x = -1

U'' = (3, 2) is 4 units to the right of x = -1

T' = (0, 1) is 1 unit to the right of x = -1

T'' = (-2, 1) is 1 unit to the left of x = -1

S' = (-4, 4) is 3 units to the left of x = -1

S'' = (2, 4) is 3 units to the right of x = -1

Answer:

24 in

Step-by-step explanation:

The diameter of a circle is twice its radius which is 12 * 2 = 24.

Answer:

The diameter is 24 inches

Step-by-step explanation:

The radius of a circle is 1/2 of the circles diameter

r = d/2

d = 2r

d = 2*12

d = 24

The diameter is 24 inches

Answer:

22n

Step-by-step explanation:

Answer:

B 50˚

Step-by-step explanation:

What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.

You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.

mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,

180˚=80˚+x

x=180-80

x=100

Now, you can solve:

Method 1:

360˚=80˚+80˚+50˚+100˚+x

360-80-80-50-100=x

x=50˚

Method 2:

180˚=80˚+50˚+x

x=180-80-50

x=50˚

This corresponds to answer choice B.

Answer:

B.

Step-by-step explanation:

Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer: 0.58 m^3

Step-by-step explanation:

V= 2600 / 1500

= 0.58 m^3

Answer:

A

Step-by-step explanation:

Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.

Answer:

the experimental probability is 70%

Step-by-step explanation:

PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?

To the nearest whole percent, the experimental probability is

a. 65%.

b. 70%

c. 75%

d. 80%

We are given to find

the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings

we know that

probability = ( number of favourable outcomes)/ ( total possible outcomes)

a 10th-grade student chosen at random has at least one, but no more than two, siblings

so, there can be one or two siblings

so, total number of such students =18+10=28

Number of favourable outcomes =28

total number of students =4+18+10+8=40

so, total favourable outcomes =40

now, we can find probability

[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]

So,

Therefore, the experimental probability is 70%

Answer:

answer is B

or 70%

Answer:

(2x-3)(3x-2)

Step-by-step explanation:

[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]

Hope this helps!

Answer:

a

Step-by-step explanation:

Answer: 34 inches

Step-by-step explanation:

1 inch is equal to 2.54 centimeters

Divide 86.75 by 2.54 to get how many inches

86.75 / 2.54 = 34.15 inches

34.15 rounds down to 34

Answer:

96

Step-by-step explanation:

Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.

Answer:

(- 2, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ( divide through by 2 )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x- intercepts are x = - 2, x = 1, that is

(1, 0 ) and (- 2, 0 )

The other x- intercept is (- 2, 0 )

Answer:

A. y = 5/4(x - 1)

Step-by-step explanation:

The equation of a line can be written in the form:

[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

A. y = 5/4(x - 1)

Step-by-step explanation:

The equation of a line can be written in the form:

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

Answer:

Right angle therom

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

to find the correlation coefficient by hand, first put your data pairs into a table....

Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.

Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.

Given are four graphs.

The range of values for correlation coefficient, r is from -1 to 1.

The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.

Here the value of r is closest to 0.75.

Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.

Two such graphs are B and C.

Since r is 0.75, it is positive, So the relationship is positive.

So graph C is the correct one.

Hence graph C is the required graph.

Learn more about Correlation Coefficients here :

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Answer:

a. 0.17

b. 0.95

Step-by-step explanation:

The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening

Firstly, we want to calculate the probability of less than four

Probability of less than four = 1 - probability of four or more heads

that is 1 - 0.83 = 0.17

Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95

Answer:

The correct statement is (C).

Step-by-step explanation:

The data for the number of hours per week they spend working at part-time jobs by 20 juniors and seniors at Delmar high school is:

Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15

Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10

Compute the mean of both the data:

[tex]\mu_{J}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iJ}}[/tex]

     [tex]=\frac{1}{10}\times [20+10+20+10+15+0+0+10+20+15]\\\\=\frac{120}{10}\\\\=12[/tex]

[tex]\mu_{S}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iS}}[/tex]

     [tex]=\frac{1}{10}\times [20+ 20+10+10+0+0+0+10+0+10]\\\\=\frac{80}{10}\\\\=8[/tex]

Compute the range of both the data:

[tex]Range_{J}=Max._{J}-Min._{J}[/tex]

            [tex]=20-0\\=20[/tex]

[tex]Range_{S}=Max._{S}-Min._{S}[/tex]

            [tex]=20-0\\=20[/tex]

It can be seen that the range of both the data is same, i.e. 20.

Thus, the correct statement is (C).

Answer:

Carys earns $10 per hour and  earn $1 in [tex]\frac{1}{10}[/tex] hour .

Step-by-step explanation:

Given that :

Carys calculates the total amount E, in dollars, that she earns for working h hours.

She use the equation to calculate the total amount

[tex]E=10h.For h=1, E=10(1)[/tex]

[tex]\Rightarrow\ E=\$10[/tex]

hence, Carys earns $10 in one hour.

Therefore, Carys earns $10 per hour.

Let she earn $1 then put E=1 in the equation, we get

[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]

Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]

Answer:

-9 ≤n ≤1

Step-by-step explanation:

-3 ≤ n+6 ≤ 7

Subtract 6 from all sides

-3  -6≤ n+6-6 ≤ 7-6

-9 ≤n ≤1

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

y - (-2) = 1/2(x - (-2))

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

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Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

Answer:

3

384

5

2.8

10

Step-by-step explanation:

--------------------------------------

10 + 14 = 24  |  13 - 5 = 8

24 divided by 8 = 3

--------------------------------------

8 x 3 = 24  |  10 + 6 = 16

24 x 16 = 384

--------------------------------------

9 + 36 = 45  |  45 - 5 = 40

40 divided by 8 = 5

--------------------------------------

8 - 4 = 4  |  4 + 10 = 14

14 divided by 5 = 2.8

--------------------------------------

8 + 27 = 35  |  35 - 5 = 30

30 divided by 3 = 10

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