If LN = 54 and LM = 31 find MN

Answer:

8x-7

Step-by-step explanation:

-11 + 8x - 2 + 6

8x-7 .........

Step-by-step explanation:

Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. For example, f ( x ) = x 2 + 5 x + 6 f(x) = x^2 + 5x + 6

Answer:

4 horses

Step-by-step explanation:

Answer:

30 cm

25 cm

15 cm

Step-by-step explanation:

x = longest side

y = shortest side

x + y + 25 = 70

x = 2y

using the second equation as substitute in the first equation we get

2y + y + 25 = 70

3y = 45

y = 15 cm

x = 2y = 2×15 = 30 cm

[tex]wv=uts\implies v=\frac{uts}{w}[/tex]

we needed to eliminate w, do so by diving both sides by w and obtain the above result :)

Hope this helps.

Answer:

34 degrees

Step-by-step explanation:

the verical angle theorem says any two angles opposite of each other from intersecting lines have the same angle

Answer:

77 cm²

Step-by-step explanation:

We know that

Area of trapezium = ½ (a + b) × h

Area = ½ × (10 + 12) × 7

Area = ½ × 22 × 7

Area = 11 × 7

Area = 77 cm²

Length of parallel sides = 10 cm and 12 cm

Height = 7 cm

Area of trapezium

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (a \: + \: b) \: \times \:Height }}}}}\end{gathered}[/tex]

Where ,

[tex] \begin{cases} \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (10 \: + \: 12) \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: 22\: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{22} \: ^{11} \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:11 \: \times \: 7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:77 \: {cm}^{2} \end{cases}[/tex]

Answer:

This should be all of them

Step-by-step explanation:

Answer:  1  1/2

You can write this as 1 & 1/2

The whole part is 1. The fractional part is 1/2

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Explanation:

Let's say we had 18 cookies to hand out to 12 students.

How many cookies does each student get?

Using a calculator shows that 18/12 = 1.5 which means they get one whole cookie each

The leftovers is 18-12 = 6

Then notice how 6/12 = 1/2

So that's how the improper fraction 18/12 becomes the mixed number 1 & 1/2

So each student gets 1 full cookie, plus half a cookie.

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Or we could do the problem like this

18/12 = (12+6)/12

18/12 = (12/12)+(6/12)

18/12 = 1 + (1/2)

18/12 = 1 & 1/2

Answer:

A community is a social unit (a group of living things) with commonality such as norms, religion, values, customs, or identity. pls Mark me branilest

Answer:

X=-5/3

Step-by-step explanation:

Answer:

[tex] \frac{x}{3} + 7 = 10 \\ \frac{x}{3} = 10 - 7 \\ \frac{x}{3 } = 3 \\ x = 3 \times 3 \\ x = 9 \\ thank \: you[/tex]

Answer:

x=9

Step-by-step explanation:

x/3 +7 = 10

Subtract 7 from each side

x/3 +7-7 = 10-7

x/3 = 3

Multiply each side by 3

x/3*3 = 3*3

x=9

Answer:

D. $11,700

Step-by-step explanation:

Answer:

Putting x= 2

[tex]( - 5) \times 2 = - 10 \\ - 10 = - 10[/tex]

putting x = -2

[tex]( - 5) \times ( - 2) = - 10 \\ 5 \times 2 = - 10 \\ 10 = - 10 \\ this \: is \: not \: correct \: equation[/tex]

putting x = 50

[tex]( - 5) \times 50 = - 10 \\ - 250 = - 10 \\ this \: is \: also \: not \: correct \: equation[/tex]

so, x = 2 is applicable.

Answer:

n ≤ − 28

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  

0  and solve.

Hope it helps you and have a great day

Here slope m is 0

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=0x+(-2)[/tex]

[tex]\\ \sf\longmapsto y=-2[/tex]

Answer:

17

Step-by-step explanation:

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

[tex]8^{2}[/tex] +[tex]15^{2}[/tex] =[tex]c^{2}[/tex]

64  + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

17 = c

Explanation:

First we need to find the volume of the cube

volume = length*width*height = 4*4*4 = 64 cubic cm

Then we'll divide the mass over this volume to get the density

density = mass/volume

density = (12 grams)/(64 cm^3)

density = (12/64) grams per cm^3

density = 0.1875 grams per cm^3

The notation cm^3 is another way of saying "cubic centimeter" as shorthand.

Answer:

x = -25

Step-by-step explanation:

[tex]3 - \frac{x}{5} = 8[/tex]

[tex]5(3 - \frac{x}{5} ) = 5 \times 8[/tex]

[tex]5 \times 3 - 5 \times \frac{x}{5} = 5 \times 8[/tex]

[tex]15 - 5 \times \frac{x}{5} = 40[/tex]

[tex]15 - x = 40[/tex]

[tex] - x = 40 - 15[/tex]

[tex] - x = 25[/tex]

[tex]x = - 25[/tex]

Answer:

x = - 25

Step-by-step explanation:

Given

3 - [tex]\frac{x}{5}[/tex] = 8 ( subtract 3 from both sides )

- [tex]\frac{x}{5}[/tex] = 5 ( multiply both sides by 5 to clear the fraction )

- x = 25 ( multiply both sides by - 1 )

x = - 25

Answer:

[tex]y=-\frac{5}{2}x-24[/tex]

Step-by-step explanation:

[tex]2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\[/tex]

if two lines perpendicular,

[tex]m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}[/tex]

the line perpendicular to this line is

[tex]y=-\frac{5}{2}x+k[/tex] ; k ∈ R

the line passes through the point (10,-1)

so,

[tex]-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24[/tex]

∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is

[tex]y=-\frac{5}{2}x-24[/tex]

Step-by-step explanation:

365.892

365.895

365.899

365.902

365.905

365.909

Answer:

-5

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4 - -1)/( 9 - 10)

    ( 4+1)/( 9-10)

    5/ -1

   - 5