Find DC, given that line AD is the angle bisector of

Answer:

(7, 13/3)

Step-by-step explanation:

Given the expressions

y = 1/3x + 2 and the second line y = 4/3x - 5

Equating both expressions

1/3x + 2 = 4/3x - 5

1/3x - 4/3x = -5 - 2

-3/3x = -7

-x = -7

x = 7

Substitute x = 7 into any of the equations

Using y = 1/3 x + 2

y = 1/3(7) + 2

y = 7/3 + 2

y = (7+6)/3

y = 13/3

Hence the solution to the system of the equation is (7, 13/3)

Answer:

(7,13/3) is your answer, otherwise known as answer choice B.

Step-by-step explanation:

Answer:

please send the pic again clearly

Answer:

I hope it will help you

Step-by-step explanation:

thank u

Answer:

22

Step-by-step explanation:

The centroid divides a median in two parts that have this ratio = 1/3 and 2/3

In particular the part between the vertex and the centroid is 2/3 of the median.

So we have:

XN = (33 * 2)/3 = 22

Answer:

I think it's a

Step-by-step explanation:

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Answer:

6x+8+4x+2=180

so!! 10x+10=180

10x=170

x=17

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

The two angles labelled [tex]6x+8[/tex] and [tex]4x+2[/tex] are co-interior angles. When two parallel lines are cut by a traversal, co-interior angles are supplementary, meaning they add up to 180 degrees. Therefore, if line L is parallel to line M, [tex]6x+8[/tex] and [tex]4x+2[/tex] must be supplementary:

[tex]6x+8+4x+2=180[/tex]

Combine like terms:

[tex]10x+10=180[/tex]

Subtract 10 from both sides:

[tex]10x=170[/tex]

Divide both sides by 10:

[tex]x=\frac{170}{10}=\boxed{17}[/tex]

Answer:

33

Step-by-step explanation:

Start by adding the 3 to the other side (2/3x=22)

Then, you divide 2/3 to cancel it out. To do that, multiply 22 by 3/2 which equals to 33.

Answer:

2/3x - 3 = 19

We first isolate the variable and solve for x, (we get rid of any constants first in the process)

2/3x - 3 = 19 the three is the constant so we get rid of it by adding three to both sides.

2/3x - 3 = 19

+3            +3

2/3x = 22

Now we divide by 2/3 on both sides

X = 33

Answer:

The answer is A. 21

Hope it helps.

Step-by-step explanation:

• • •

Answer:

A. x = 4

Step-by-step explanation:

[tex]7x-2(x-10)=40\\7x-2x+20=40\\5x+20=40\\5x=20\\x=4[/tex]

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

Answer:

I don't know how to do please let me I will try solve the question

Answer:

B

Step-by-step explanation:

find the probability of picking the first green marble, which would be 2/10

then afterwards once the marble is removed, it would be 1/9

Multiply both 2/10 and 1/9 to get 0.022, which rounds to 0.02

Answer:

0.02

Step-by-step explanation:

3+5+2 = 10

to choose 1 green the probability is 2/10 = 1/5

if we do not replace it, then there are now 9 marbles left and only 1 green left, so 1/9

to find them both in a row, multiply

1/5 * 1/9 = 1/45 = 0.02222

Answer:

1

Step-by-step explanation:

The given equation of the function is y = -a·(x - h)² + 1

The positive constants of the equation = a, and h

The points the function crosses the x-axis = 2, and 4

Where the function crosses the x-axis, y = 0, and x = 2, and 4, therefore, when x = 2, we have;

y = 0 = -a·(2 - h)² + 1

When x = 4, we have;

0 = -a·(4 - h)² + 1

-a·(2 - h)² + 1 = -a·(4 - h)² + 1

-a·(2 - h)² = -a·(4 - h)²

(2 - h)² = (4 - h)²

±(2 - h) = +#±(4 - h)

When

(2 - h) is negative, and (4 - h) is positive, but the same magnitude, we have';

-(2 - h) = +(4 - h)

2·h = 4 + 2 = 6

h = 3

0 = -a·(4 - h)² + 1 = -a·(4 - 3)² + 1 = -a + 1

Therefore, a = 1

Answer:

They have the same slope

Step-by-step explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.

Answer:

Step-by-step explanation:

If one leg is 7x than other leg is 24x

Using Pythagoras

50² = (7x)² + (24x)²

2500 = 49x² + 576x²

2500 = 625x²

x² = 2500/625 = 4

x = +2 or -2 ; x is positive

Means 7 x = 14 and 24x = 48

The two sides are 14cm and 48cm

Test: 14² + 48² = 196 + 2304 = 2500= 50²

Answer:

x= 1

Step-by-step explanation:

Work is shown in the picture

Notice that

• π/2 = π/3 + π/6

• π/6 = π/3 - π/6

Recall the angle sum identities for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

By adding these together, we get

sin(x + y) + sin(x - y) = 2 sin(x) cos(y)

==>   sin(x) cos(y) = 1/2 (sin(x + y) + sin(x - y))

Now take x = π/3 and y = π/6 :

sin(π/3) cos(π/6) = 1/2 (sin(π/2) + sin(π/6))

So the blank should be filled with cos.

We know

[tex] \\ \sf \longmapsto \: new \: length = length + increased \: length \\ \\ \sf \longmapsto \: new \: length = 11.4 + 2.25 \\ \\ \sf \longmapsto \: new \: length = 13.65in[/tex]

Answer:

Step-by-step explanation:

Answer:

a1 = -4

an = an-1 * 6

Step-by-step explanation:

-4, -24, -144, -864, ...

First find the common ratio

Take the second term and divide by the first term

-24/-4 = 6

The common ratio is 6

The recursive formula is

a1 = -4

an = an-1 * 6

Answer:

Angle of elevation = ∠4

Step-by-step explanation:

Angle of elevation of a point point from another point is the angle formed between the line joining these points and the horizontal line.

Therefore, angle of elevation of point B from a point C = ∠4

Option with angle 4 will be the answer.

Answer:

The first one.

Step-by-step explanation:

Graph lines as if the inequalities were equal signs.

X = -3 is a vertical line at x = -3, because it's less than we shade to the left. All numbers less than -3 are to the left. The line is dashed because there is no equal to. Only less than. The line is not included in the solution set.

y = -x - 1 is a line with a y-intercept of -1 and a slope of -1. All values that are less that y are below the line. Because it's less than or equal to the line is solid.

Answer:

A

Step-by-step explanation:

The vertical line  is dotted at -3 and shaded to the left

x < -3

This gives us two choices left

A and C

The other line has a y intercept at -1 and is solid and shaded to the left

It is of the form

y ≤ mx+1  

We know the slope is negative since is goes down from left to right

The only Choice is A

Answer:

Relation 1,2,and 4 are functions, but relation 3 not is a function.

Step-by-step explanation:

function 1 input, no function with the same input like m in relation 3.

Answer:

Step-by-step explanation:

Being able to do this requires that you understand what is being asked and that you understand domain. This is a piecewise function, made up of 4 different parts, and each part has a domain different from every other part. Now look at the solutions. We are given coordinates, x and y. So this is how this problem is done.

In a. the coordinate is (-1, 1), right? x = -1 here, so the equation that we "pick" (I'll explain that in a sec) has to have a domain where -1 will fall. The first part of this piecewise has a domain of less than or equal to -11. Is -1 less than or equal to -11? No, it is not. -1 is greater than -11, so the equation we "pick" to use will not be this one. Look at the next piece of the function and note its domain. This domain is that x is greater than -11 and less than 5. Does -1 fit in that domain? Is -1 included in that spread of numbers? Yes it is, so that is the equation we will use. By use I mean that we will plug in -1 for x and see if y = 1 (that number comes from the coordinate (-1, 1) where y = 1). The equation is y = x + 2 and plugging in -1 for x:

y = -1 + 2 so

y = 1 and this point is on the piecewise. Let's do one more example so you can see how it looks when it DOESN'T work out, ok?

Look at b. The coordinate is (-2, -10). x = -2, so the same domain, same equation: x + 2. We plug in -2 for x to find y:

y = -2 + 2 so

y = 0.  0 does not equal -10, so this point is not on that graph.

The key here is picking the equation whose domain includes your x value and evaluating the equation at that value of x to find y.

Answer:

bka bla bla bla sorry I newbie

AB is the same as A multiplied by B. In order to get this value, we need to figure out the value of A and B.

We have two equations here:

a + 5b = 2b + 13

a = 3b - 5

The second equation already has A isolated. So, we can take that equation and plug in the value for A. Doing so will allow us to solve for B.

(3b - 5) + 5b = 2b + 13

8b - 5 = 2b + 13

6b - 5 = 13

6b = 18

b = 3

Now that we know B, we can use our equation that isolated A.

a = 3(3) - 5

a = 9 - 5

a = 4

Therefore, a = 4 and b = 3, and ab = 12.

Hope this helps!

Answer:

[tex]\sqrt{16}[/tex] is rational number

Step-by-step explanation:

Rational number is of the form p/q, where q ≠ 0. It may be a terminating number or non terminating repeating number.

√2 is irrational number as it is non terminating non repeating number

π is irrational number as it is non terminating non repeating number

√10 is irrational number as it is non terminating non repeating number.

[tex]\sqrt{16}=\sqrt{4*4}=4[/tex]

[tex]\sqrt{16}[/tex] is a rational number

Solution :

Given :

Principal amount, P = Rs. 1000

Time period = 12 months

The maturity value = Rs. 12,715

We know that,

[tex]$ SI = \frac{PTR}{100}$[/tex]

[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]

[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]

SI = 65 R

So we know,

maturity value = principal amount + SI

12715 = 1000 + 65 R

65 R = 12715 - 1000

65 R = 11715

R = 18%        

So the rate is 18%

Answer:

[tex]R=11\%[/tex] p.a.

Step-by-step explanation:

Given:

the principal amount deposited each month, [tex]P=Rs. 1000[/tex]

amount after maturity of one year, [tex]A=Rs. 12715[/tex]

We have the formula as:

[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]

where:

R = rate of interest per annum

T = time in months

[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]    [since the principal is deposited each month]

[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]

[tex]R=11\%[/tex] p.a.

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