Factorise the expression: am^2 + bm^2 + bn^2+an^2​

Answer:

You can know if the shapes are similar if the are the same type of shape, have proportional side lengths, congruent corresponding angles (the angles are in the same place proportional to the shape and have the same amount of degrees), and equal scale factors.

In number 19, the polygons are similar because they have proportional side lengths and congruent corresponding angles.

Number 20's trapezoid A and B are not similar because the side lengths are not proportional to each other ( 2 is half of 4, 4 is not half of 6)

Hope this helps!

Answer:

−

2

(

2

−

7

)

Step-by-step explanation:

Let's first write out

2s+4+(-6s)+10

now simplify

-4s+14

again

now correct

Given :-

[tex] \\ \\ [/tex]

To find :-

[tex] \\ \\ [/tex]

Solution :-

[tex] \\ [/tex]

[tex] \looparrowright \sf3x + 5y = 60[/tex]

Put value of x in the equation!

[tex] \\ [/tex]

[tex] \looparrowright \sf3(10)+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf3 \times 10+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf5(6 + y) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf(6 + y) = 60 \div 5[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y= \dfrac{60}{5} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y=\cancel \dfrac{60}{5} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y= \dfrac{12}{1} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y=12[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf y=12 - 6[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bf y=6[/tex]

[tex] \\ [/tex]

Verification:-

[tex] \\ [/tex]

[tex] \looparrowright \sf3x + 5y = 60[/tex]

Put value of x and y.

[tex] \\ [/tex]

[tex] \looparrowright \sf3(10)+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf3 \times 10+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5 \times 6= 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 30= 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bf60= 60[/tex]

LHS = RHS

HENCE VERIFIED!

Answer:

the ratio is easy to find if you subtract 52 to 24 which is 28 so the ratio is 28 to 24

Step-by-step explanation:

Our equation;

[tex]-5=\frac{y-7}{9}[/tex]

Multiply each side by 9 to remove the fraction;

[tex]-45=y-7[/tex]

Add 7 to each side;

[tex]\boxed{-38=y}[/tex]

Answer:

  11.3

Step-by-step explanation:

The side opposite the given angle is unknown. The hypotenuse is also given. The trig function that relates the angle, opposite side, and hypotenuse is the sine function:

  Sin = Opposite/Hypotenuse

  sin(39°) = x/18

  x = 18·sin(39°) ≈ 11.3

Answer:

6and 7,8,9,10 CORRECT ME IF I'M WRONG

Answer:

[tex]c)\ 2\frac{4}{10}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{5}-2\frac{8}{10} \\\\5\frac{2}{10}-2\frac{8}{10} \\\\\frac{52}{10}-\frac{28}{10} \\\\ \frac{24}{10} \\\\2\frac{4}{10}[/tex]

Hope this helps!

Answer:

5 1/5 - 2 8/10

26/5 - 28/10=24/10=2 4/10

Answer: B. T(n) = 0.2(2)^n

Step-by-step explanation:

you start with the original thickness which is 0.2 then you would double that( times 2) for every fold (n) which would be 2^n.

this makes the equation 0.2(2)^n

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{y-1=4(x+2)}}[/tex]

[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given:

Can we write the equation of the line in Point-Slope Form? Sure!

y-y₁=m(x-x₁)

y-1=-4(x-(-2)

y-1=-4(x+2)

Hope you could understand everything.

#CarryOnLearning

Answer:

mn^2+3n^2+4mn+4n+m^2-m-2

Answer:

The angles are adjacent (next to each other). Because they are adjacent, the angles equal 180 when added together. Therefore, X = 180-34. X = 146.

Hope this helps, and good luck with math! Have a great day/night :D

The length 2.3 and 7.8 units

We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.

The Law of Cosines, which tells us

[tex]a^{2}=b^{2} +c^{2} -2bccosA[/tex]

giving us a quadratic equation for b we can solve.  But let's do it with the Law of Sines as asked.

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

We have c,a,A so the Law of Sines gives us sin C

[tex]sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597[/tex]

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse

[tex]C_{a}=arcsin(0.5597)=34.033^{0}[/tex]

[tex]C_{0}=180-C_{a} =145.96^0[/tex]

Both of these make a valid triangle with A=20°.   They give respective B's:

[tex]B_{a}=180-A-C_{a} =125.96^0[/tex]

[tex]B_{0}=180-C_{0} =14.033^0[/tex]

So we get two possibilities for b:

[tex]b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3[/tex]

2.3 units and 7.8 units

Therefore we get the length 2.3 and 7.8 units

To learn more about the low of sine and cosine visit:

https://brainly.com/question/4372174

Answer: 2.3 units and 7.8 units

Let's check it with the Law of Cosines:

There's a shortcut for the quadratic formula when the middle term is 'even.'

Looks good.

Answer:

80

Step-by-step explanation:

48 ÷ 6 = 8 per hour

8 x 10 hours = 80 dogs

Answer: Steve can train 80 dogs.

Step-by-step explanation:

How many dogs he can train divided by how many hours is: 48/6 = 8.
He is able to train 8 dogs per hour. So: 8 x 10 = 80.

Answer:

49º

Step-by-step explanation:

The total amount of º in a triangle is 180

             7 10

90.      180

+41.      -131

131.       049

Answer:

49°

Step-by-step explanation:

x+41°+90°=180°[ being sum of angle of triangle is 180°]

or, x+131°=180°

or, x=180°-131°

or, x= 49°

Answer: 49°

_______________________________________

[Note: This is right angled triangle so that one angle is 90° because there is a sign given to indicate it is 90°]

Answer:

1 feet = 12 inches

therefore ,

5 feet = 5 × 12 = 60 inches

Now ,

16 inches to 60 inches ,

[tex] \frac{16}{60} \div \frac{4}{4} = \frac{4}{15} \\ [/tex]

hope helpful~

Answer: 6 1/3

Step-by-step explanation: 16 inches = 1 foot and 4 inches + 5 feet = 6' 4" 6 4/12 simplify = 6 1/3

The measure of the other two angles is 30 degrees.

An  acute scalene triangle is a triangle in which all the angles are less than 90 degrees and all the three side lengths are not equal. A right scalene triangle is a triangle that has an angle that measure 90 degrees and all the three side lengths are not equal.

An obtuse scalene triangle is a triangle in which one of its angle is greater than 90 degrees but less than 180 degrees and all the three side lengths are not equal. A right isosceles triangle is a triangle that has an angle that measure 90 degrees and two sides have an equal length.

An acute equilateral triangle s a triangle in which all the angles are less than 90 degrees and all the three side lengths are of equal lengths. An obtuse isosceles triangle  is a triangle in which one of its angle is greater than 90 degrees but less than 180 degrees and two of the side lengths are of equal lengths.

The sum of angles in a triangle measure 180 degrees. If given two measure of angles, in order to determine the third angle, add the two given angles and subtract from 180 degrees.

To learn more about triangles, please check: https://brainly.com/question/22949981

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

i dont know the base and height because you dont have a picture provided so you can use this as help

A sinusoidal equation can be used to describe the height because the height depends on a periodic motion, and the equation can be written as:

h(t) = 13ft*sin(pi*t) + 24ft

Remember that the sine function has a periodicity, such that:

sin(x + 2pi) = sin(x).

So, for a circle where if you do a complete rotation you end in the initial place, so there can be a relation between the height and a sinusoidal equation.

Notice that the initial position is 24ft above the ground, so we can write this, at the moment, as:

h(x) = Asin(n*t) + 24ft

A is the amplitude, it defines the maximum height and minimum height, both depend on the radius (the maximum height is 24ft plus the radius, the minimum height is 24ft minus the radius) then we write:

h(t) = 13ft*sin(kt) + 24ft

k depends on how much time takes to do a full rotation. We know that the sine function does a "complete cycle" in 2pi, while the wheel does a full rotation in 2 seconds, then we have that:

k*2 = 2pi

k = (2pi)/2s = pi

Then the sinusoidal equation that represents the height is:

h(t) = 13ft*sin(pi*t) + 24ft

If you want to learn more about sinusoidal equations, you can read:

https://brainly.com/question/9478364

Answer:

15 m2 is the answer

Step-by-step explanation:

The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. so, the answer is 15 m2

Answer: 22 m2

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

180-87=93

93=3x+6

-6        -6

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

93=3x

/3    /3

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

29=x

x=29

*all angles in a triangle add up to 180. So, 35+52=93. 180-93=87.

C=87

Answer:

i) 4 females

ii) 8 females

Step-by-step explanation:

1. Ratio of males= 3x

3x = 3

Thus, x = 1

If there are 3 males, there will be 4 females

2.Rato of males= 3x

3x = 6

Thus x = 2 [6 divided by 3]

4x = 4 x 2 = 8

If there are 6 males, there would be 8 females.

Answer:

10

Step-by-step explanation:

t+1/2t-1=5/7

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Answer:

f=4

Step-by-step explanation:

so, when we do this problem notice that there is a variable this can mean a lot of things but in this case, it just means were solving for f so we first move the constant (5) to the right-hand side and change its sign then we subtract 33 from 5 to get 28 so the equation would look like 7f = 33-5

to get 7f = 28 and now for the last step you divide both sides of the equation to get f = 4

Hope this helped :)

Answer: 30

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it’s equal

Answer: p=5+3/2 or p=5-3/2

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {p}^{2} - 10p + 7 = 0[/tex]

Now, let's use Quadratic formula :

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - ( - 10) \pm \sqrt{ {( - 10)}^{2} - 4(1 \times 7) } }{2 \times 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 10 \pm \sqrt{ 100- 28 } }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 10 \pm \sqrt{ 72 } }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 10 \pm6 \sqrt{ 2 } }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 2(5 \pm3 \sqrt{ 2 }) }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = (5 \pm3 \sqrt{ 2 }) [/tex]

So, the required roots are :

[tex]\qquad \sf  \dashrightarrow \:x = 5 + 3 \sqrt{ 2 } [/tex]

and

[tex]\qquad \sf  \dashrightarrow \:x = 5 - 3 \sqrt{2} [/tex]

Answer:

2/4, 4/8, 8/16, 16/32

Step-by-step explanation:

2/4
2x2/4x2 = 4/8
4x2/8x2 = 8/16
8x2/16x2 = 16/32

Answer:

9

Step-by-step explanation:

cuz yes

Answer:

HOPE ITS HELPFUL TO yours