How do I do this problem?

Answer:

Options A ,  D , E

Step-by-step explanation:

Triangle has angles 27° and 45°

The third angle = 180 - 27 - 45 = 108°

Therefore, the angles of ABC are 27° , 45° , 108°

=> ABC is Scalene triangle .

Option A :

Triangle DEF :

       3x + 5x + 12x = 180°

              20x = 180°

               x = 9

Therefore , the angles of DEF = 27° , 45° , 108°

Satisfies

Option B:

Triangle GHI is Isosceles triangle with one angle 108°

But ABC is scalene , therefore not similar.

Does not satisfy.

Option C :

Triangle JKL with one of the angle = 72°

But none of the angles of ABC is equal to 72° .

Therefore, not similar.

Does not satisfy.

Option D :

Triangle MNO have angles 45°  and  108°.

Sum of angles of triangles = 180°

So the third angle of MNO = 27°

Therefore , MNO is similar to ABC.

Satisfy.

Option E:

Angles of triangle PQR are 45° , x° , 4x°

Lets find all the angles .

45 + x + 4x = 180°

5x = 180 - 45

5x = 135

x = 27

Therefore, the angles of PQR = 45° , 27° , 108°

Hence similar to triangle ABC.

Satisfy

Option F :

Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°

Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°

                            => 35x = 180 - 5

                            => 35x = 175

                            => x = 5

Therefore, the angles are

5x + 3 = 5( 5) + 3 = 25 + 3 = 28°

9x =  9 ( 5 ) = 45°

21x + 2 = 21(5) + 2 = 105 + 2  = 107°

The angles are not congruent to the angles of Triangle ABC

does not satisfy.

Answer:

15 ten thousands

Step-by-step explanation:

15,000 ones is 15,000 * 1 = 15,000

1,500 tens is 1,500 * 10 = 15,000

15 thousands is 15 * 1000 = 15,000

15,000 is 15,000 '-'

15 TEN thousands is 15 * 10,000 = 150,000

It could be 1.5 ten thousands. 1.5 ten thousands is 15,000.

³√5 / ⁴√5 = ¹²√5 = 5^1/12

5^1/12

Answer:

the answer is  5/|1 5

Step-by-step explanation:

Answer:

[tex]opposite\approx 70.02[/tex]

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the names ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) are subjective and change depending on the angle one uses in the ratio. However the name ([tex]hypotenuse[/tex]) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ([tex]tan[/tex]) ratio.

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(35)=\frac{opposite}{100}[/tex]

Inverse operations,

[tex]tan(35)=\frac{opposite}{100}[/tex]

[tex]100(tan(35))=opposite[/tex]

Simplify,

[tex]100(tan(35))=opposite[/tex]

[tex]70.02\approx opposite[/tex]

Step-by-step explanation:

Answer:

A) 80°

Step-by-step explanation:

55° + 45° + (5x + 30)° = 180°

55° + 45° + 30° + 5x = 180°

130 + 5x = 180°

5x = 50°

x = 10°

=> (5x + 30)° = 5*10° + 30° = 50° + 30° = 80

Hi there!  

»»————-　★　————-««

I believe your answer is:  

{a | a > 4}

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\2a + 4 > 12\\-------------\\\rightarrow 2a + 4 - 4 > 12 - 4\\\\\rightarrow 2a > 8\\\\\rightarrow \frac{2a>8}{2}\\\\\rightarrow \boxed{a > 4}\\\\-------------\\\text{This can also be written as: } \boxed{ [a | a > 4] }[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: {a | a >4}

Step-by-step explanation:

Answer:

[tex]\$3,125[/tex]

Step-by-step explanation:

Let [tex]s[/tex] represent the amount of money he initially started with.

After he spent 20% on books, he will have [tex]100\%-20\%=80\%[/tex] of his initial money left. We can represent this as [tex]0.8s[/tex].

Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have [tex]100\%-20\%=80\%[/tex] of the remainder of money he had left after he purchased the books. Therefore, he ends up with [tex]0.8(0.8s)=0.64s[/tex] of his money left.

Since we're given that he had $2,000 after all these transactions, we have the following equation:

[tex]0.64s=\$2,000[/tex]

Divide both sides by 0.64 to isolate and solve for [tex]s[/tex]:

[tex]s=\frac{2,000}{0.64}=\boxed{\$3,125}[/tex]

Therefore, the boy had $3,125 to begin with.

Answer:

2800

Step-by-step explanation:

20%+20%=40%

40/100x2000=2800

Answer:

120

Step-by-step explanation:

5*4*3*2*1

Step-by-step explanation:Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Answer:

Step-by-step explanation:

Draw a right triangle with the following conditions.

Make one of the acute angles come out to your right.

The adjacent side should be one of the sides that makes up the acute angle you just drew.

The adjacent side is also horizontal.

The other side is vertical at the left end point of the 15 cm side

The right angle is made by the two sides you have already.

Join the vertical end point to the horizontal endpoint not part of the right triangle.

Label the left side of the horizontal line as 25 degrees.

You are looking for the vertical line length.

The vertical line divided by the horizontal line length = tan(25)

vertical / 15 = tan(25)            Multiply both sides by 15

vertical = 15 * tan(25)

vertical = 15 * 0.4663

vertical = 6.995

Answer:

7 cm approximately

Step-by-step explanation:

A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.

We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.

We are asked to find the opposite side to the 25 degree angle.

Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.

I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.

So we need to solve tan(25)=x/15.

We can do this by multiplying both sides by 15 giving us 15tan(25)=x.

Now we punch it into our calculator giving us 6.995 cm approximately.

Answer:

5 ..... 144/16 = 25 sqrt(25) = 5

Step-by-step explanation:

Answer:

it is 1:5

Step-by-step explanation:

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Paint Color

Quarts of Red Paint Quarts of White Paint

4 20

5 25

7 35

8 40

Which statement is true about the

ratio of red paint to white paint in the paint color?

it is 1:16

it is 16:1

it is 5:1

it is 1:5

Ratio of red paint to white paint in the paint color = 4 : 20

= 4/20

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 1 : 5

Ratio of red paint to white paint in the paint color = 5 : 25

= 5/25

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 7 : 35

= 7/35

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 8 : 40

= 8/40

= 1/5

= 1 : 5

Hello,

Probability get a Bleu marble =5/12

Probability get a Red marble =4/12

Probability get a Green marble =3/12

p(B,R)=5/12*4/12=20/144

p(R,B)=4/12*5/12=20/144

p(B,G)=5/12*3/12=15/144

p(G,B)=3/12*5/12=15/144

p(R,G)=4/12*3/12=12/144

p(G,R)=3/12*4/12=12/144

p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72

The solution and answer are well written in the Pic above.

Answer:

x = 2

Step-by-step explanation:

2x  + 6 = x -4

Subtract 6 from both sides

2x  = x - 4 +6

2x = x + 2

Subtract 'x' from both sides

2x - x = 2

x = 2

Answer:

B. $20.00

Step-by-step explanation:

Answer:

no it is not perpedicular

Step-by-step explanation:

I plugged the equation into a graphing calculator and the line does not appear to be perpendicular

Answer:

3y = 5x+4

3y=9x

yx=9/3

yx=3

Answer:

£624

Step-by-step explanation:

Surface area of a box = 2(length*width + length*height + width*height)

Length = 60 cm

Width = 50 cm

Height = 20 cm

Surface area of a box = 2(length*width + length*height + width*height)

= 2(60*50 + 60*20 + 50*20)

= 2(3000 + 1200 + 1000)

= 2(5,200)

= 10,400 cm²

Surface area of a box = 10,400 cm²

The paint costs = £0.06 per cm²

Total cost of painting the box = 10,400 cm² × £0.06

= £624

Step-by-step explanation:

???????? what is easy??

Answer:

The answer should be 6.63

Bd and bc form a right triangle with cd

Use the Pythagorean theorem

Cd = sqrt( 12^2 - 10^2)

Cd = sqrt( 144-100)

Cd = sqrt(44) = 2sqrt(11)

Answer:

0.036

Step-by-step explanation:

See image below:)

the area is 32 and the length is 888

you use the formula w= a/l

so a= 32 and l= 888

The width is 0.036mm.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, given that,

the area is 32 and the length is 888

We use the formula w= A/l

so, A= 32 and l= 888

Then, width= w= 32/888

                         =0.036 mm.

Hence, width is 0.036mm

To learn more on Area click:

https://brainly.com/question/20693059

#SPJ2

Answer:

6

Step-by-step explanation:

Follow 1 hour on the y axis to where it meets the line of best fit. In this case it is about 6 puzzles.

Answer:

B. Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Step-by-step explanation:

I just did it, and thankfully, all was well! :) :) :)

Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation. Rotation, translation and reflection produce congruent images.

Rotating the vertices 180 degrees gives  (-1, –2), (-1, –4), (-2, –3).

Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Find out more on transformation at: https://brainly.com/question/1620969

Answer:

Dude

Answer:

B.

Step-by-step explanation:

(working backwards to explain)

[tex]\sqrt{5g^5h^2} \\\\\\h\sqrt{5g^5}\\\\\\g^2h\sqrt{5g}[/tex]

Let W = width then length = 5W + 3  

Area = W(5W + 3) = 5W2 + 3W = 92  

5W2 + 3W - 92 = 0 has a negative root and the positive root = 4 (by the quadratic formula)  

The length = 23 and the perimeter = 2(L + W) 2 * 27 = 54

I dont know if this is right because I cant see the last part in less its like that

Answer:

24.

Step-by-step explanation:

Para determinar cuántos números distintos pueden formarse con los dígitos 4, 5, 6 y 7 sin repetir ninguno de ellos se debe realizar el siguiente cálculo:

4, 5, 6 y 7 = 4 números

4 x 3 x 2 x 1 = X

12 x 2 = X

24 = X

Por lo tanto, con los dígitos 4, 5, 6 y 7 pueden formarse 24 números.