please help me i need this asap

Given:

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]

[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]

[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

Answer:

Step-by-step explanation:

The first line has slope of a/b and the second one has slope of m/n.

As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.

Since the slopes are different the lines are not parallel, hence they intersect at one point.

This means there is one solution only.

ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

$13 per hour

Step-by-step explanation:

This is because 26÷2=13, 65÷5=13

Answer:

420

Step-by-step explanation:

Answer:

D=22-90+22d/7

Step-by-step explanation:

D=22/7×d-90

D=-90+22d/7

Answer:

Correct answer #1

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

[tex]\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }[/tex]

Answer:

[tex] \frac{1}{4} \: \: \: \frac{1}{3} \: \: \: \frac{1}{2} \: \: \: \frac{7}{12} \: \: \: \frac{3}{4} [/tex]

Step-by-step explanation:

To arrange in ascending order, first make the denominators of all the fractions the same.

LCM of 2, 3, 4 and 12 is 12.

Now,

[tex] \frac{1}{3} = \frac{4}{12} [/tex]

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

[tex] \frac{1}{4} = \frac{3}{12} [/tex]

[tex] \frac{7}{12} \: \: will \: be \: \: \frac{7}{12} [/tex]

[tex] \frac{1}{2} = \frac{6}{12} [/tex]

Arranging these in ascending order:

[tex] \frac{3}{12} \: \: \: \frac{4}{12} \: \: \: \frac{6}{12} \: \: \: \frac{7}{12} \: \: \: \frac{9}{12} [/tex]

Answer:

B. 22°

Step-by-step explanation:

Angle bisector divides an angle into two equal angles.

Angle AVM = Angle MVM = Angle AVB / 2

Angle AVM = Angle AVB / 2

Angle AVM = 88 / 4

Angle AVM = 22°

Answer:

44

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Switch x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Solve for y

[tex]y = \frac{7(x - 4)}{2} [/tex]

Answer: [tex]4[/tex] pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]

Find the derivative of the function to find out the critical points

[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]

Thus, for 4 pair of shoes profit is maximize.

Answer:

4 pairs of shoes.

Step-by-step explanation:

The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.

The functions are given as:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = (\frac 12)^x[/tex]

Reflect function over the y-axis.

The rule of this transformation is:

[tex](x,y)\to (-x,y)[/tex]

So, we have:

[tex]f(x) = 2^x[/tex]

[tex]f'(x) = 2^{-x}[/tex]

Apply power rule of indices

[tex]f'(x) = (\frac{1}{2})^x[/tex]

By comparison:

[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]

Hence, the functions f(x) and g(x) are reflections over the y-axis.

Read more about function transformation at:

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Answer:

I think the answer is 762.5 if not correct pardon plz

Answer:

[tex](x+12)(x+18)[/tex]

Step-by-step explanation:

[tex] {x}^{2} +30x+216[/tex]

[tex](x+12)(x+18)[/tex]

x²+30x+216

on factorizing we get

(x+12)(x+18)

Therefore, x= -12 or -18

Answer:

m = 15/3 = 5 is the mean

Step-by-step explanation:

Answer:

5 Students But divide by 15/3 to  5

Step-by-step explanation:

What does Average mean?

1. a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

So, to find the answer just ADD 10 + 2 + 3 = ?

10 + 2 = 12 So put that to the side for now.

Now, 10 + 2 = 12 + 3 = 15

So the total number of students who like cookies, chips,  and crackers are 15.

Now do 15/3 to get 5.

Answer:

graph D

Step-by-step explanation:

because d it at 0 then moves

Answer:

a

Step-by-step explanation:

Answer:

£8520

43000-11000=32000

20/100×32000

£6400

48300-43000=5300

40/100×5300=2120

£8520

Answer:

x is 66 degrees

Step-by-step explanation:

since its a isosceles, two of the angles should be the same.

Answer:

Step-by-step explanation:

9) 12/n=20/25

simplify 20/25=4/5

12/n=4/5

cross product

n*4=12*5

4n=60

n=60/4

n=15

The missing proportion in each of the following problems shown below:

Statement of equality between two expressions consisting of variables and/or numbers

9) 12/n=20/25

12/n=4/5

n*4=12*5

4n=60

n=60/4

n=15

10) 5/8=n/24

   8n= 5*24

   8n= 120

    n= 120/8

    n=15

11) 2/3= 16/n

   2n=48

   n=24

12) 12/14= n/21

     n=18

13) n/10 = 6/15

    n=4

14)  12/3 = 10/n

     n= 2.5

15) 5/n = 10/16

       n=8

16) 12/8 = 4/n

     n=8/3

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Answer:

y= 3x -5

Step-by-step explanation:

The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).

Given that the slope is 3, m= 3. Substitute m= 3 into the equation.

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 1, y= -2,

-2= 3(1) +c

-2= 3 +c

c= -2 -3

c= -5

Thus the equation if the line is y= 3x -5.

Answer:

(–3, 5) and (–1, 9)

Step-by-step explanation:

if you just plug the numbers in they fit :)

The solution of the system of equations is (–3, 5) and (–1, 9).

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).

Learn more about the System of equations:

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Yes

Replace x in the equation with the x in the solution and see if t equals the y in the solution:

Y = 7-5 = 2

The answer is yes.

Answer:

-|x|=-3

|x|=-3

|-x|=-3

Step-by-step explanation:

Answer:

Only -lxl = -3 works

Step-by-step explanation:

The other options don't work because they all have numbers inside of the absolute value brackets.  You would always get a positive end value when the absolute value equation is applied.

The last one is the only one that works because the negative is outside of the absolute value bracket.  Therefore, if you plug in 3 for x, it will give you -3.

Answer:

[tex]{\dag{\underline{{\sf{\red{t {}^{2} = \: \dfrac{4.05}{5} \: = 0.81 \: , \: \: t = 0.9s}}}}}}[/tex]

Answer:

65.76 m

Step-by-step explanation:

This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.

Starting with the triangle:

1/2(b*h)=a

We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:

1/2*15=a or 15/2=a

a=7.5

Then we calculate the area of the rectangle:

l*w=a

5*6=a

30=a

Then the area of the semi circle:

First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):

3.14*r^2=a

3.14*3^2=a

3.14*9=a

28.26=a

Finally, we add all three areas from above:

7.5+30 + 28.26 = 65.76

Answer:

A

Step-by-step explanation:

because y-intercept is when x=0, so right on the y axis.