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3 years ago

Please explain how to do this!!

Mathematics

1 answer:

Tatiana [17]3 years ago

6 0

9514 1404 393

Answer:

y = 55°

Step-by-step explanation:

You know the sum of angles in a triangle is 180°. So, ...

25° +30° +x = 180°

And, you know a linear pair of angles totals 180°:

x + y = 180°

Substituting for 180°, we have ...

25° +30° +x = x + y

Subtracting x from both sides, we get a relation that is useful to remember:

25° +30° = y

y = 55°

_____

This relation is usually described as ...

An exterior angle is equal to the sum of the remote interior angles.

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sineoko [7]

Check the picture below.

$\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18$

8 0

4 years ago

70=(4x+36)/2 figure this out please

adell [148]

Answer:

$\boxed{\bold{\huge{\boxed{x = 26}}}}$

Step-by-step explanation:

$70 = \frac{4x+36}{2}$

Multiplying both sides by 2

$70 * 2 = 4x+36$

$140 = 4x+36$

Subtracting 36 to both sides

$140 - 36 = 4x$

$104 = 4x$

Dividing both sides by 4

$26 = x$

$x = 26$

3 0

3 years ago

Read 2 more answers

The sum of the ages of the father and son is 44 years .After 8 years the age of the father will be twice the age of the son . Fi

Vadim26 [7]

Step-by-step explanation:

Let the present age of father = x years

and the present age of son = y years

according to the first condition

x + y =44 ........(i)

according to the second condition

x+8 = 2(y+8)

or x+ 8 = 2y + 16

or x- 2y = 8 ............(ii)

solve the equation (i) & (ii) we get

x + y =44

x- 2y = 8

••••••••••••••••••••••••

3y = 36

or y = 12

put the value of y in equation (i), we get

x + 12 =44

or x = 32

so the present age of father = x =32 years

and the present age of son = y = 12 years.

8 0

3 years ago

1/2 (x−8)+1=2( 1 8 x−1)

nalin [4]

Answer:

The solution for the given algebraic equation is $\frac{ - 2}{71}$

Step-by-step explanation:

Given algebraic equation as :

$\frac{1}{2}$ ( x - 8 ) + 1 = 2 ( 18 x - 1 )

Now solving the equation while opening the brackets

So, $\frac{1}{2}$ × x - $\frac{1}{2}$ × 8 + 1 = 2 × 18 x - 2

Or, $\frac{x}{2}$ - $\frac{8}{2}$ + 1 = 36 x - 2

or, $\frac{x}{2}$ - 4 + 1 = 36 x - 2

or, $\frac{x}{2}$ - 3 = 36 x - 2

or, $\frac{x}{2}$ - 36 x = - 2 + 3

Or, $\frac{x}{2}$ - 36 x = 1

or, $\frac{x - 72 x}{2}$ = 1

or, $\frac{- 71 x}{2}$ = 1

∴ 71 x = - 2

I.e x = $\frac{ - 2}{71}$

Hence The solution for the given algebraic equation is $\frac{ - 2}{71}$ Answer

7 0

3 years ago

Complete the table then graph the points whoever does it right i will give brainliest

Serggg [28]

Answer:

Step-by-step explanation:

Equation of a line has been given as,

y = -2x + 5

Input-output points lying on the the line are,

x 0 1 2 3

y 5 3 1 -1

Now we can plot these points on the graph and join them to get the line representing the given equation.

(As graph attached)

8 0

3 years ago