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kirill [66]
2 years ago
10

Find the value of x 17x-1=16x+2

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
3/a times x-4=20<br> What is x?
spin [16.1K]

Answer:

Step  1  :

           3

Simplify   —

           a

Equation at the end of step  1  :

   3                

 ((— • x) -  4) -  20  = 0  

   a                

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a  as the denominator :

        4     4 • a

   4 =  —  =  —————

        1       a  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (4 • a)     3x - 4a

————————————  =  ———————

     a              a    

Equation at the end of step  2  :

 (3x - 4a)    

 ————————— -  20  = 0  

     a        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a  as the denominator :

         20     20 • a

   20 =  ——  =  ——————

         1        a    

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(3x-4a) - (20 • a)     3x - 24a

——————————————————  =  ————————

        a                 a    

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 24a  =   -3 • (8a - x)  

Equation at the end of step  4  :

 -3 • (8a - x)

 —————————————  = 0  

       a      

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(8a-x)

 ————————— • a = 0 • a

     a    

Now, on the left hand side, the  a  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (8a-x)  = 0

Equations which are never true :

5.2      Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

5.3     Solve   8a-x  = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axisThe X and Y intercepts and the Slope are called the line properties. We shall now graph the line  8a-x  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of a is 0/8 so this line "cuts" the a axis at a= 0.00000

 a-intercept = 0/8  =  0.00000  

Calculate the X-Intercept :

When a = 0 the value of x is 0/-1 Our line therefore "cuts" the x axis at x=-0.00000

 x-intercept = 0/-1  = -0.00000  

Calculate the Slope :

Slope is defined as the change in a divided by the change in x. We note that for x=0, the value of a is -0.000 and for x=2.000, the value of a is 0.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.250 - -0.000 = 0.250 in a. (The change in a is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.250/2.000 =  0.125  

Geometric figure: Straight Line

 Slope = 0.250/2.000 = 0.125

 x-intercept = 0/-1 = -0.00000

 a-intercept = 0/8 = 0.00000

Step-by-step explanation:

8 0
3 years ago
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
1 year ago
For a fund raiser, the debate team sold sodas at a school dance. They spent 10 dollars to pay for the cups. The soda was donated
8_murik_8 [283]

Answer:byh

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 50/80 in simplest form? Thanks for your awesome help people
Sliva [168]
The answer is 5/8 because they both are divisable by 10
7 0
3 years ago
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