Which number is a solution of the inequality? 8

Answer:

m = 6√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from angle measure

Angle = 30°

Adjacent Leg = m

Hypotenuse = 12

Step 3: Solve for m

Answer:

Im doing the same quesiton for flvs and dont know

Step-by-step explanation:

Answer:

what school do u do

Step-by-step explanation:

Answer:

8 batches

Step-by-step explanation:

6 2/3= 6 4/6 =40/6

40/6 divided by 5/6= 8

Answer:

10q+q+(12+q)=60

Answer:

5,1,-3,-7

Step-by-step explanation:

y=-4x+1

if x is -1,

-4(-1)+1 or 4+1 or 5.

Following,

5,1,-3,-7

Hope this helps plz hit the crown :D

Answer:

20=y*x = 2*10=20

Step-by-step explanation:

If this is what you are asking for here q-q

Answer:

59? Is it H = 59?

Answer:

no slope

Step-by-step explanation:

m= y2-y1/x2-x1

m= 6-(-6)/4-4

m=12/0

m= no slope

Answer:

18/25

Step-by-step explanation:

i dont have an explanation

Congruence is when there are 2 objects that have the same shape and size, or they "mirror" each other.

Question 6:

Congruence:

Yes, these two objects are congruent.

Reason:

They are congruent, because they have the same size and shape, or that they  "mirror" each other.

Question 7:

Congruence:

Yes there is congruence, here. These two objects are similar shapes, but not completely congruent.

Reason:

These two objects have the same size, but not the exact same shape. If you look at point B you can see that the two angles are different, which means that they are similar shapes, but not completely congruent.

Hope this helps! :)

Answer:

3

Step-by-step explanation:

let the other number be x

3x-x=6

2x=6

x=6÷2

x=3

therefore the numbers are 9&3

answer:

3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

i hope this helps!! ♡

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

In the given triangle angle A is greatest than any other angle.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

Learn more about triangles here:

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Answer:2 ( 4 + 1 )

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.

Answer:

slope = 4/5

Step-by-step explanation:

The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines

y value - y value  over x value - x value  

Points: (-2,0) and (3,4)

4-0 = 4

3-(-2) = 5

4/5

Answer:

0.03, 0.2, 1/4

Explanation:

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given below.

0.2, 0.03, and 1/4

Convert all the numbers into fraction numbers.

0.2, 0.03, and 0.25

Then the inequalities orders the numbers from least to greatest numbers will be

0.03 < 0.2 < 0.25

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

More about the ascending order link is given below.

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Answer:

-3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4x + 2y = 12

x − y = 3

Make it able to cancel the variable y.

x*2 − y*2 = 3*2

2x − 2y = 6

Add the equations together now that y can be canceled out. Add each like term of the separate equations together.

   4x + 2y = 12

+  2x − 2y = 6

   6x + 0 =  18

6x = 18

6      6

x = 3

I hope this helps!

Answer:

Step-by-step explanation:

In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......

1) 52 + 122 = [tex]c^{2}[/tex]

  174 = [tex]c^{2}[/tex]

  [tex]\sqrt{174} =c[/tex]

  13.190905 ≈ c

2) 25 + 144 = [tex]c^{2}[/tex]

   169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

3) 169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

Hope this helps :)

The length of the hypotenuse 13 units.

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Given that, A right triangle has side lengths 5 inches and 12 inches.

Using Pythagoras theorem,

h = √5²+12²

h = √25+144

h = √169

h = 13

Hence, the length of the hypotenuse 13 units.

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24p+7q

-----------

    12

Answer:

[tex]4p^{5q^{3} -2}[/tex]

Step-by-step explanation:

The base would stay the same as nothing is being multiplied.

Answer:

40%

Step-by-step explanation:

32/80=.4

Answer:

40%

Step-by-step explanation:

32÷80=.4×100=40%

Answer:

C≈87.96

r Radius 14

Answer:

Step-by-step explanation:

You can get y and x immediately. z is a bit tricky.

x

The other two angles of a triangle containing x are 100 and 60.

x + 100 + 60 = 180          Add the two terms on the left

x + 160 = 180                  Subtract 160 from 180

x = 180 - 160                   Combine the right

x = 20

y

y is done exactly the same way.

55 + 80  + y  = 180

135  + y =  180

y = 180 - 135

y = 45

z

You have x y and z all in the same triangle.  You know x and y so z can be found in much the same way.

x + y + z = 180

20 + 45 + z = 180

65 + z = 180

z = 180 - 65

z = 115

Answer: x = 20

              y = 45

              z = 115

Step-by-step explanation:

There is one unknown variable in both triangles with known angles.  To find the values of x, y, and z, add both the known angles and subract it from 180 degrees.  The result will be the value of the variable.  When you have both the values of x and y, do the same math to find the value of z.

Step 1: Find the value of x

Add the values of the two known angles in this traingle and subtract it from 180°

80 + 55 = 135

180 - 135 = 45

45° is the value of x

Step 2: Find the value of y

Add the values of the two known angles in this traingle and subtract it from 180°

100 + 60 = 160

180 - 160 = 20

20° is the value of y

Step 3: Find the values of z

Add the values of x and y and subtract it from 180°

45 + 20 = 65

180 - 65 = 115

115° is the value of z

Answer:

x is 6 i believeee if you're solving for x!!

Step-by-step explanation:

Answer:

x = 1 + 0.5 * 10^7

Step-by-step explanation:

Use log(a) + log(b) = log(ab).

log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7

Using log(a) = b <=> a = 10^b

log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7

The option D is correct

O A. Belonging to a particular region or place

Answer:

x=14

Step-by-step explanation:

11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14

Hey there! I'm happy to help!

The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:

30: 1, 30, 2, 15, 3, 10, 5, 6

45: 1, 45, 3, 15, 5, 9

We see that the largest number they both have in common is 15, so the GCF is 15.

Have a wonderful day! :D

Answer:

x=45

Step-by-step explanation:

I can give you two solutions

First solution:

In [tex]\triangle FBA[/tex] we know that

[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]

same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]

so we have that

[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]

we leave it like that because it's convenient

Now by properties of parallelograms we know that opposite sides add up to 180

[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]

so one angle is 45  and the other one is 135

Solution 2

if we look at DEBF we can say that it's a cyclic quadrilateral

because opposite sides add up to 180

in our case

[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]

so for the other to angles is also true

[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]

so that's the measure of one angle of the parallelogram

the other angle x is

[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]

There you go choose yourself

Step-by-step explanation:

We need to find the height of the triangle first.

Height=>sin(60°)=h/3 but sin(60°)=√3/2

h=3×√3/2=3√3/2

Area=½×base×height

A=½×3×3√3/2

A=9√3/4

Answer is option A

Answer:

50

Step-by-step explanation:

Let the number of teachers is t.

60% of t is 30

0.6t = 30

t = 30/0.6

t = 50