Please Help and thank you so much!!

Answer:

x = 18

Step-by-step explanation:

First, let's find the ratios between the two triangles

We'll use AV and AC

372 ÷ 589 = 12/19

All of the sides of the smaller triangle are 12/19 of the bigger triangle

Now let's find x

We know that AU + UB = AB

So it's 20x + 108 + 273 = AB

12/19 of a bigger triangle side equals a small triangle side

(12/19)AB = AU

For this equation multiply both sides by 19/12 to isolate AB

(12/19)AB x 19/12 = AU x 19/12

AB = (19/12)AU

Now we have this

20x + 108 + 273 = (19/12)(20x + 108)

20x + 381 = (19/12)(20x + 108)

Distribute the 19/12

20x + 381 = 95/3x + 171

Move all like terms to one side

20x + 381 = 95/3x + 171

       - 171                 - 171

20x + 210 = 95/3x

- 20x           - 20x

Don't forget about common denominators

210 = 95/3x - 60/3x

210 = 35/3x

Multiply both sides by 3

210 x 3 = 35/3x x 3

630 = 35x

Divide both sides by 35

630/35 = 35x/35

x = 18

Answer:

Step-by-step explanation:

[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]

589( 20x + 108 ) = 372( 20x + 381 )

11780x + 63612 = 7440x + 141732

4340x = 78120

x = 18

Answer:

Less

Step-by-step explanation:

[tex]6.17 < 6.187 [/tex]

Answer:

Does the answer help you?

The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:

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

To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.

Thus, factoring them, always by the same number:

12 - 18|2

6 - 9|3

2 - 3

The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.

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

18 crackers, so each plate has 18/6 = 3 crackers.

12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.

A similar question is given at https://brainly.com/question/18454593

Answer:

7 is the answer..........

Answer:

x = 7 (C)

Step-by-step explanation:

So first we need to be able to know the value of 14x + 18. Which is 116 degrees. This is because it is corresponding to the angle labelled 116 degrees and corresponding angles are equal so:

14x + 18 = 116

14x + 18 - 18 = 116 - 18 Here you collect like terms then the equation will look like this:

14x = 116 - 18 116 - 18 = 98

14x = 98 Divide both sides by 14

14x / 14 = 98 / 14

x = 7 So your answer is 7.

HOPE THIS HELPED

Answer:

hello its (1/4)x+4=3

Step-by-step explanation:

Answer:

188.495

Step-by-step explanation:

Given that,

h=7

r=3

Surface area of a cylinder = 2πr(h + r)

=2π×3(7+3)

=18.8495559215 (10)

=188.495

Answer:

x³+8 = x³+2³ = (x+2)(x²-2x+4)

a³+125 = a³+5³ = (a+5)(a-5a+25)

27a³+125b³

= (3a)³+(5b)³

= (3a+5b)(9a²-15ab+25b²)

Answer:

6

Step-by-step explanation:

Answer: 18/3 as a mixed number should be just 6/1(6). because 18 divided by 3 is 6.

Answer:

Angle 1:Angle2: angle3: total

40         40             100          180

Step-by-step explanation:

The sum of the angles of a triangle is 180

Angle 1:Angle2: angle3: total

2          :2            :5          : 2+2+5 = 9

Divide 180 by 9

180/9 = 20

Multiply each by 20

Angle 1:Angle2: angle3: total

2*20    :2*20       :5*20   :  9*20

40         40             100          180

Answer:

Step-by-step explanation:

-14 1/9 is close to - 14

-2 and 9/10 is close to - 3

The best estimate would be 42 (14 * 3)

Estimate means you put your calculator on the kitchen counter until you've done this question.

Let's see what the actual answer is. 40.92222 which is close to 41.

42 is a pretty good estimate.

[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

We know that, in ∆ABC,

∠A+∠B+∠C = 180°

But the triangle is right angled at C

ie., ∠C = 90°

Therefore, ∠A+∠B+ 90° = 180°

⇒ ∠A + ∠B = 90°

Therefore, cos(A + B) = cos 90º = 0

Answer:

Answer 1 : 25/4

Answer 2 : 1/19

Step-by-step explanation:

Question 1:

x + 3x = 25

4x = 25

x = 25/4

Question 2:

2x+36x=2

38x = 2

x = 2/38

x = 1/19

Answer:

Correct option is

B

0

D

−1

sinx+sin2x+sin3x

=sin(2x−x)+sin2x+sin(2x+x)

=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]

=sin2x(2cosx+1)........(i)

cosx+cos2x+cos3x

=cos(2x−x)+cos2x+cos(2x+x)

=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]

=cos2x(2cosx+1).....(ii)

∴(sinx+sin2x+sin3x)

2

+(cosx+cos2x+cos3x)

2

=1

sin

2

2x(2cosx+1)

2

+cos

2

2x(2cosx+1)

2

=1.......[From(i)(ii)]

⇒(2cosx+1)

2

=1

⇒2cosx+1=±1

∴cosx=0or−1

Answer:

3.667

Step-by-step explanation:

30 miles per cm means divide distance by 30 or

110/30 = 3.667

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

9514 1404 393

Answer:

  C

Step-by-step explanation:

It's about making up a rule that gets from one figure to the next. Here's the rule I used:

The bottom left segment is rotated 1/8 turn CW from one figure to the next.

The top middle segment is rotated 1/4 turn CW from one figure to the next.

After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.

The side of the square is 6.2 cm

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Area of a square = length of a side²

37.8225cm² = length of a side²

To determine the length of a side, find the square root of 37.8225cm²

√ 37.8225cm² = 6.15cm

To round off to one decimal place, look at the second number after the decimal (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The hundredth number is 5, so one would be added to one. the number then becomes 6.2cm

Learn more on how to determine the side length of a square here : https://brainly.com/question/10646504?referrer=searchResults

Answer:

1)-2k

2)-8n-3

3)6b+2

4)-7x

5)5x+12

6)-2k+9

7)10x

8)3x

9)8x-1

10)4m+7

11)3m

12)4v+1

13)-3v

14)-2n+4

15)x-11

16)0

17)9k

18)-2x-6

19)-10x

20)2a

If you have any questions regarding my answer tell me in the comments, and I will come answer them. Have a good day.

Answer:

25x^2 +40x+16

Step-by-step explanation:

(5x + 4)²​

(5x+4)(5x+4)

FOIL

first  5x*5x = 25x^2

outer  5x*4 = 20x

inner 4*5x = 20x

last = 4*4 = 16

Add them together

25x^2 +20x+20x+16

Combine like terms

25x^2 +40x+16

Answer:

[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]

Answer:

TW correspondant to AD

Step-by-step explanation:

That's the right answer

Segments TW and AD are corresponding parts of the congruent triangles.

Two triangles are called congruent if their corresponding sides and angles are congruent.

Given that,  Δ MTW ≅ Δ CAD

The congruent parts are;

MT = CA

TW = AD

MW = CD

∠ M = ∠ C

∠ T = ∠ A

∠ W = ∠ D

Hence, Segments TW and AD are corresponding parts of the congruent triangles.

For more references on congruent triangles, click;

https://brainly.com/question/12413243

#SPJ2

Step-by-step explanation:

a is the answer if is wrong I'm sorry

Answer:

x = 36

Step-by-step explanation:

Complementary angles add to 90 degrees

54+x = 90

x = 90-54

x = 36

Answer:

IF ABC and DEF are complementary then ABC + DEF = 90°

Therefore, DEF = 90° -ABC

Since DEF = 54° and DEF = x then

x = 90° -54°

x = 36°

Step-by-step explanation:

Answer:

6n i guess?

Step-by-step explanation:

think of as this

n=1 (1n)

n×6=n6

Answer:

6n

Step-by-step explanation:

when we say 6times a number,it means 6 multiplying the number

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

Answer:

Given:

i) Since DN and BC are transversals, we have:

As two angles and one side is congruent, the triangles are also congruent:

So their areas are same.

ii)

The quadrilateral has area of:

And the triangle has area of:

Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.

Answer:

I think I have proved it before you asked this question before also.

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

please mark this answer as brainlist

Answer:

root3

Step-by-step explanation:

multiply the numerator and denominator by the root of 3

3root2×root3/root3×root3

3root6/3

note root3×root3=3

the 3 up will divide the 3 down

and that lives u with the answer root2

sorry currently won't have a way of writing the roots thats y am using words