1) x + x + 8x + 12 =​

Answer:

Step-by-step explanation:

Answer:  The length of the third side is greater than 4 ft and less than 20 ft.

Step-by-step explanation:  Given that two sides of a triangle have lengths 8 ft and 12 ft.

We are to describe the possible lengths of the third side.

Let x ft be the length of the third side of the triangle.

We know that

the sum of the lengths of any two sides of a triangle is always greater than the third side.

So, we must have

Also,

and

From inequalities (i), (ii) and (iii), we get

Thus, the length of the third side is greater than 4 ft and less than 20 ft.

Answer:

C

Step-by-step explanation:

HCF of 4 and 36 is 4

Divide the numerator and denominator by 4

[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]

Answer:

the answers you chose are correct.

Step-by-step explanation

b and d

Answer:

RS = 6

Step-by-step explanation:

The line joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

RS = [tex]\frac{1}{2}[/tex] AB = [tex]\frac{1}{2}[/tex] × 12 = 6

========================================================

Explanation:

Angles A and B are supplementary which mean they combine to form a straight line. This further means the angles add to 180.

A+B = 180

(8x-27) + (4x+3) = 180

(8x+4x) + (-27+3) = 180

12x-24 = 180

12x = 180+24

12x = 204

x = 204/12

x = 17

Use this x value to find angles A and B

Note how A+B = 109+71 = 180 to help verify the answer.

Answer:

109

Step-by-step explanation:

supplementary angles equals 180 degrees

8x-27+4x+3=180

12x-24=180

12x=204

x=17

Then you put the 17 where the x is

8(17)-27=109

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the diagonal ( hypotenuse ) be d , then

d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )

d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E

Answer:

3x+1 1/2=10

Step-by-step explanation:

k12

The solution is Option B.

The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total length of the board Gina has is = 10 feet

The first piece of length cut from the board is = 1 1/2 feet

So , the remaining piece of board = total length of the board Gina has - length cut from the board

And the equation is

The remaining piece of board = 10 - 1 1/2

Let the remaining piece of board be A

The remaining piece of board is cut into 3 equal pieces

Let the one remaining piece of board be = x

So , the three remaining pieces of board = 3x

Now , the equation will be

The remaining 3 pieces of board 3x =  remaining piece of board

So , substituting the values in the equation , we get

3x = 10 - 1 1/2

Adding 1 1/2 on both sides of the equation , we get

3x + 1 1/2 = 10

Therefore , the equation is 3x + 1 1/2 = 10

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

12

Step-by-step explanation:

There is a right angle formed, hence this triangle is a right-angled triangle.

Using Pythagoras Theorem,

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

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=400-256=144[/tex]

[tex]b=12[/tex]

The missing length is 12

Answer:

[tex]y = 5\, x + 6[/tex].

Step-by-step explanation:

The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)

In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].

Rewrite the given equation to obtain the slope-intercept equation of this line.

[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)

[tex]2\, y = 10\, x + 12[/tex].

[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)

Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].

Answer:

80

Step-by-step explanation:

Answer:

6.8h

Step-by-step explanation:

5 tasks in 34h

So 1 task is taking 34/5 h

34/5 = 6.8h

1 task is taking 6.8h to complete

Answer:

x=-1/2

Step-by-step explanation:

if you need a explanation tell me but I’m in Math class rn

[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]

Answer:

f(x + 2)

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the left of a units

Here f(x) is translated 2 units to the left , then f(x + 2)

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

-m + 8-8 = -41 -8

Simplify

Subtract the numbers

-m = -49

Answer:

33

Step-by-step explanation:

3*4*2.75=33

Answer:

140922

Step-by-step explanation:

48900/34.7 = 1409.2219

1409.2219 *100 = 140922.19

rounded - 140922

Answer:

-1

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(2-4)/(0+2)=-2/2=-1

Answer:

-1

Step-by-step explanation:

[tex]\frac{(4-2)}{(-2-0)}=\frac{2}{-2} \\\frac{2}{-2}= -1[/tex]

Here is what I did to find the slope:

We will use the first two rows

The first row will be x₂ and y₂

The second row will be x₁ and y₁

The equation to find any slope is: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Answer:

1

Step-by-step explanation:

it means from Virginia to Florida you will drive more than 7 hours

Answer:

16/3

Step-by-step explanation:

formula :

p = kq

k = 8/3

so that is k

it will be like this "p = 8/3 x"

p = 8 × 2 / 3

p = 16/3

cant divide 3 with 16.

so, "p = 16/3" is the answer

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Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~

I hope it helps ~

Answer:

After looking at the image you posted, I deduced that the correct answer should be slope= 3.

Step-by-step explanation:

I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]

Firstly:

I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).

Secondly:

I then found the difference between the two points on the graph to be

(1,3) or (x=1, y=3).

Thus:

The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.

Answer:

letter D

thank me later....

Answer:

145°

Step-by-step explanation:

[Finding the non-label angled in the triangle] 180° - 75° = 105°

Finding 3: (x = angle 3)

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180

[combine like terms] 145° + x = 180°

[subtracting 145 from both sides] 35° = x

    () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)

180 - 35 = 145°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

g(g(- 4)) = - 16

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained back into g(x)

g(- 4) = 2(- 4) = - 8 , then

g(- 8) = 2(- 8) = - 16

Relation given:-

Inverse

#2

Let it be y

[tex]\\ \tt\hookrightarrow y=2x-3[/tex]

[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]

[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]

Write in terms of x

[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]

Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.

Step-by-step explanation:

Answer:

27 degrees

Step-by-step explanation:

it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did)  18-27=-9 and thats what the tempurture went down to in 8 hours