WILL MARK BRAINLIEST

Create diagrams to represent the possible cases for common tangents between two circles. Please give justification for each diagram.

1. No common tangents

2. One common tangent

3. Two common tangents

4. Three common tangents

5. Four common tangents

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

Answer:

40  I told u

Step-by-step explanation:

right angles are 90 degrees

Answer :

x +25 +25 =90 degrees

x +50 =90 degrees

x = 90 -50

x = 40 degrees

Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

Answer:

Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

Step-by-step explanation:

correct on EDGE2021

Answer: C= 1,090 and the W= 5.

Answer:

3^2 = 3 x 3 = 9

Answer:

[tex]3^{2} \times3^{2}[/tex]

[tex]Answer: 81[/tex]

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hope it helps...

have a great day!!

Answer:

Meena has twelve (12) ₹20 notes and thirty six (36) ₹10 notes

Step-by-step explanation:

The amount Meena has as notes in ₹10 and ₹20 denominations = ₹600

The number of ₹10 notes = 3 × The number of ₹20 notes

Let 'x' represent the number of ₹20 notes Meena has, we get;

The number of ₹10 notes = 3 × x

The total number of notes = x × 20 + 3·x × 10 = 50·x = ₹600

∴ 600/50 = 12

The number of the ₹20 notes, x = 12

The number of the ₹10 = 3 × x

∴ The number of the ₹10 = 3 × 12 = 36

Answer:

Step-by-step explanation:

5a) 3x3x13

b) 3x7x7

c)11x5x2x2

d)3x3x3x5x2

6a)2x2x2x131

7a)5x5x2x2

b) 3x2x17

c)5x2x2x2x2x2x2

d)5x5x5x3

e) 2x2x103

f)5x3x137

g) 2x2x2x2x2x2x2x2x2

h)5x5x7x7x3

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family

Explanation:

The phrasing "given that he or she is a graduate" means we focus on the middle row only. We ignore everything else.

We see that A = 1879 graduates receive financial aid out of B = 2610 graduates total.

This means the probability we want is therefore A/B = 1879/2610 = 0.7199 approximately. This converts to 71.99% and that rounds to 72%

Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

Answer:

12, 120,012

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

cos²A + sin²A = 1 ( divide terms by cos²A )

[tex]\frac{cos^2A}{cos^2A}[/tex] + [tex]\frac{sin^2A}{cos^2A}[/tex] = [tex]\frac{1}{cos^2A}[/tex] , that is

1 + tan²A = sec²A ← as required

Answer:

The measure of angle θ is 7π/4. The measure of its reference angle is 45°, and tan θ is -1.

Answered by GAUTHMATH

Answer:

3

Step-by-step explanation:

a tangent to a circle makes right angle with the radius at that point ( here the point is B)

thus,

ABC is a right angled triangle

By Pythagoras theorem :-

By Pythagoras theorem :-AC² = AB² + BC²

(r + 2)² = 4² + r²

r² + 4 + 4r = 16 + r²

subtracting r² from both sides and taking 4 common

4(1 + r) = 16

diving both sides by 4

1 + r = 4

r = 3 units

The value of r is,

⇒ r = 3 units

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

AB is tangent to circle C.

Now,

By Pythagoras theorem, we get:-

AC² = AB² + BC²

(r + 2)² = 4² + r²

r² + 4 + 4r = 16 + r²

subtracting r² from both sides and taking 4 common

4(1 + r) = 16

diving both sides by 4

1 + r = 4

r = 3 units

Thus, The value of r is,

⇒ r = 3 units

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Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

[tex]\Rightarrow V-E+F=2[/tex]

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

Answer:

4.2+9.Write f (x)in the form:f(x)=x-2 4.3Draw

Answer:

Step-by-step explanation:

x is the original price.

420/x = 70% = 0.7

x = 420/0.7 = 600

Original price of bracelet was £600

Answer:

sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.

Step-by-step explanation:

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Explanation:

Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.

Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.

Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).

So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.

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

Since the triangles are similar, we can form the proportion below and solve for x

AB/AE = DC/DE

x/18 = 4/6

x*6 = 18*4 .... cross multiplication

6x = 72

x = 72/6

x = 12

Therefore, segment AB is 12 units long, and this is the radius of circle B.

[tex]\huge\tt\pink{Answer}[/tex]

A≈852.83cm²

Radius

7cm

Height

31cm

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

Answer:

40°

100 + 80 = 180

60 + 80 = 140

140+ 40 = 180

Step-by-step explanation:

Answer:

m<C+m<D=100 degrees   m<D=40 degrees

Step-by-step explanation:

Answer: The question is not complete. the figure is attached below.

The polygon is a rectangle.

Step-by-step explanation:

Line 1 goes through (-2, 3)

hence the slope of line 1 = -3/2

Line 2 goes through (0, 3) (2, 0)

hence the slope of line 2 = -3/2

Line 3 goes through (0, 1) (-3, 1)

hence the slope of line 3 = 2/3

Line 4 goes through (3, 0) (0, -2)

Hence the slope of line 4 = 2/3

therefore -3/2 * 2/3 = -1

Line1 + Line3      Line1 + Line4       Line2 + Line3        Line2+Line4

because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.

The polygon is a rectangle polygon.

Answer:

Bremen's age is 28 years

Step-by-step explanation:

Bremen's age= x

Omane's age= x+4

x+x+4=60

2x+4=60

2x=60-4

2x=56

2x = 56

2 2

x=28

Answer:

no..........................

Step-by-step explanation:

Represent Diego's age by d. Then 9d=144.

Answer:

The lengths of the other sides would be 10, as well.

Step-by-step explanation:

Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.

The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

Given data ,

Let the triangle be represented as ΔABC

Let the side length of the triangle be AB = 10

Now , the measure of ∠ABC = 60°

And , the measure of ∠BAC = 60°

So , the total sum of all the angles in a triangle = 180°

And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°

Therefore , all the angles of the triangle are 60°

So , it is an equilateral triangle

And , the measure of side lengths of the triangle is 10

Therefore , AB = BC = CA = 10

Hence , it is an equilateral triangle

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Answer:

8x +120= 400

Step-by-step explanation:

Let the number of hours Max worked over the summer be x.

Assuming that he had $0 in his bank at the start of summer,

Total savings= 8(number of hours) +120

400= 8x +120

8x +120= 400

To find the value of x, first bring all the constants to one side of the equation.

8x= 400 -120

Simplify:

8x= 280

Divide both sides by 8:

x= 280 ÷8

x= 35

∴ Max worked for 35 hours over the summer.

Answer:

x= -7

Step-by-step explanation:

f(x) = -5(x+7)

0 = -5x -35

5x = -35

equals to x= -7