In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?

Answer:

Yes, the triangles are similar ([tex]\triangle HMG \sim \triangle KMJ[/tex]).

Step-by-step explanation:

We're given that the two triangles share at least one angle, angles H and K. The two angles in the triangles at point M, [tex]\angle HMG[/tex] and [tex]\angle KMJ[/tex] are vertical angles, meaning they are on opposite sides of a point of intersection between two lines. Since vertical angles are always equal, these two angles are also equal.

If two triangles share two angles, they must share all three, because all triangles have a total sum of interior angles of 180 degrees. Therefore, the triangles share all 3 angles. AAA (Angle-Angle-Angle) is a proof of similarity, where two triangles share all three of their angles. Thus, the two triangles are similar.

Similarity statement (vertices should correspond):

[tex]\triangle HMG \sim \triangle KMJ[/tex]

Answer:

100

Step-by-step explanation:

Answer:

182.8

Step-by-step explanation:

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

Answer:

x = -7 , x = 2

Step-by-step explanation:

[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]

Answer:

x = - 7, x = 2

Step-by-step explanation:

Solve by factoring , that is

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Answer:

x=-4/9, y=-74/9.

Step-by-step explanation:

y=32x+6

y=14x-2

-----------

32x+6=14x-2

32x-14x+6=-2

18x+6=-2

18x=-2-6

18x=-8

x=-8/18

simplify

x=-4/9

y=14(-4/9)-2=-56/9-2=-74/9

Answer:

The 3rd and the 5th

Step-by-step explanation:

The graphs of the 3rd and the 5th functions are straight lines

The 1st and 2nd are parabolas

The 4th is an exponential

You must look at the graph: it shall include all the real values for the y coordinate

Answer:

The curve surface area(CSA) of a cylinder is 2πrh.

Since diameter=1.5 in.

          radius=diameter/2

                     =1.5/2 in.

                     =0.75 in.

And, the height of the bottle is 5 in.

Now,

CSA=2πrh

       =2π*0.75*5 in^2

       =15π/2 or 23.56 in^2

The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.

Answer:

[tex]4\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{96}[/tex]

[tex]\sqrt{2*2*2*2*2*3}[/tex]

[tex]2*2\sqrt{2*3}[/tex]

[tex]4\sqrt{6}[/tex]

Answer:

B

Step-by-step explanation  

: )

Answer:

Yes

Step-by-step explanation:

Every time the sugar goes up by 1/3 or by three it keeps the same raito

Answer:

4, 5, and 7

Step-by-step explanation:

Length of two sides are 4 and 7 feet.

Thier sum = 4 + 7 = 11 feet.

We know that, sum of two sides is always larger than the third side.

So, 4, 5, and 7, can not be the third side here.

Answer: 13

Step-by-step explanation: a= 4,

B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= [tex]\sqrt{10}[/tex]

Answer:

11.1 feet

Step-by-step explanation:

From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;

Cosθ = opposite / Adjacent

Cos 20 = 10.5 / x

x * Cos 20 = 10.5

x = 10.5 / cos 20

x = 11.174 feets

Answer:

[tex]3^x+5x+3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x)=3^x+10x[/tex]

and

[tex]g(x)=5x-3[/tex]

We need to find (f-g)(x).

We know that,

(f-g)(x) = f(x)-g(x)

[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]

So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].

Answer:

b. no, because one x-value corrseponds to two different y-values

Step-by-step explanation:

for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.

Answer:

c=√a²+b²

Step-by-step explanation:

You can use this equation to solve it.

The image of the diagram is missing, so i have attached it.

Answer:

a = 30°

Step-by-step explanation:

From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.

The sum of interior supplementary angles is 180°

Thus;

5a + a = 180

6a = 180

a = 180/6

a = 30°

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.

Answer:

28 answer write ✍️ now ok

Answer:

30

Step-by-step explanation:

you need to multiply its length by its with

We can say 85 because we will spin it 85 times and it can happen we will not C

Not sure at all ....

Answer:

Step-by-step explanation:

6=48

Divide total pieces of candy by total people:

35 / 5 = 7

Each person receives 7 pieces of candy

Answer:

7

Step-by-step explanation:

35 divided by 5 equals 7

Answer:

x= -2

y= -2

Step-by-step explanation:

y = 8x + 14

y = x

Now by subtraction of these two equation,

So 0 = 7x + 14

x = -2

y = -2

Answer:

1,2, and 5

Step-by-step explanation:

y=2*(3+x)  

y=3x-2

3x-y=2

Answer:

The number 10/2 = 5 is an integer.

Step-by-step explanation:

An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...

Integer can be positive,  negative of zero.

[tex]\frac{10}{2}=5[/tex]

It is a whole number so it is an integer.

- 0.3

It is not an integer as it has a fractional part.

[tex]\sqrt20[/tex]

It also has a fractional part, so it is not an integer.

0.4

It also has a fractional part, so it is not an integer.

Answer:

185 is divisible by 5.

Step-by-step explanation:

Anything that ends in a 0 or 5 can be divisible by 5.

Answer:

Hello There!!

Step-by-step explanation:

The answer is B)185 because a number divisible by 5 ends in 0 or 5.

hope this helps,have a great day!!

~Pinky~