Line j is parallel to line k. Find the m

The proof of the given statements is shown below:

A line segment which touches a circle specified to only one point is called a tangent to that circle.

1. given

2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,

   angle EFC =90

4.  Sum of interior angles of a triangle is 180°.

5. proved above: angle EFC= 90

6. FEC + ECF= 180-90=90

7. As proved above

  FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.

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Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

Additional comment

It is impossible to specify an equilateral triangle using rational coordinates.

Answer:

Both graphs in 2 separate attachments--placed in order

Hope it helps.

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

Let's solve for x ~

⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]

P.S here's the graph that might help you!

Let's solve of x ~

⇢  [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]

P.S here's the second image of the graph. so, you won't get confused.

Hope It Helps! ~

~ Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Answer:

I am not entirely sure but The maximum is 500 and b $0.50

Answer:

what is the figure so i can awnser iit

Step-by-step explanation:

?

If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.

Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.

Then the mean of the sample will be

[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]

Then the table is given below.

Then we have

[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]

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Answer:

x= the second one I hope I helped

Step-by-step explanation:

the united set of A and B contains every element of both sets without listing any element twice.

so, it is

{1, 2, 4, 5, 7, 8, 11}

They are 2 and 3, since 2 + 3 = 5

Let x be the smaller number. Then

x + (x + 1) = 5

2x + 1 = 5

2x = 4

x = 2

x + 1 = 3

Answer:

B  =  R 100 000

Step-by-step explanation:

B will be   2  out of   4 + 3 + 2   =    2/9 of the total

            2/9 * 450 000 = 100 000

Answer:

x=48º

Step-by-step explanation:

Answer:

left one on 3rd row

Step-by-step explanation:

using the rules of exponents/ radicals

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

given

[tex]12^{-\frac{4}{7} }[/tex]

= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]

= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

Answer:

9

Step-by-step explanation:

Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.

We can then convert 60% into the decimal .6 and multiply it by 15.

15 x .6 = 9

Answer is 5

Slope is found by finding change in y over change in x

First I solved for Y, -15-3= -18

So I knew x had to be -9 for the slope to be 2

See picture for detailed math

Step-by-step explanation:

6x-12=x+3

6x-x=3+12

5x=15

x=15/5

x=3

Answer:

Step-by-step explanation:

What is value of m in the equation

3 (2x - 4) = x +3​?

3 (2x - 4) = x + 3​

6x - 12 = x + 3

5x = 15

x = 15 : 5

x = 3

Answer:x = ± 2

Step-by-step explanation:3x² = 12

x² = 12/3

x² = 4

x = √4

x = ± 2

Answer: x = ± 2 hopes that helps you out bud

Answer

x = 2 or x = -2

Brainliest?

The net profit on the Income Statement based on the balance sheet given will be 21.

The net profit will be calculated thus:

Revenue = 170

Less coat of sales = 103

Less salaries= 30

Operating income = 30

Less interest = 12

Income before tax = 25

Less Income tax = (10% × 37) = 3.7

Net profit = 21.3 = 21

Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.

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Answer:

1.64+0.94v

Step-by-step explanation:

0.2(8.2+4.7v)

0.2(8.2)+0.2(4.7v)

1.64+0.94v

I'm not very confident with this answer but I hope this helps

Answer:

1986.8m³

Step-by-step explanation:

Radius=7.8m

Volume of sphere =4/3pi r³

=4/3×3.14×7.8³=1986.8m³

The amount liters of liquid needed for 2 servings of pudding.

[tex]600 + 120[/tex]

[tex] = 720 \: ml[/tex]

[tex]720 \times 2[/tex]

[tex] = 1440 \: ml[/tex]

[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]

[tex] \frac{1440}{1000} [/tex]

[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]

Therefore, 1.44 litres of liquid are required for 2 servings.

Step-by-step explanation:

1 15625 m

2 13824 m

3 343 m

4 14167 m

5 cube with 25 m

Answer:

y=0.5x + 4

..............

Answer:

The answer is C y=0.5x+4

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!

Answer:

-2/5

Step-by-step explanation:

+ × - = -

10/5-12/5

apply the fraction rule a/c-b/c =a-b/c

10-12/5

substract 10-12 =-2

-2/5

Answer:

x + 7 = 5

Step-by-step explanation:

I think this should be an equation I’m in 7th and I am learning these again so it should be an equation.

The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

The limit of the function is determined as follows;

[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]

The derivative of the function;

[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]

Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

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16/10= 96/60=8x/55=8/5

8x*5=55*8

40x=440

x=11