If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

7 0

3 years ago

Salvador wrote 15 letters to friends each month for p months in a row. Write an expression to show how many total letters Salvad

katovenus [111]

Answer:

15p

Step-by-step explanation:

Let's interpret the question bit by bit

Salvador wrote 15 letters to friends each month

=> 15 letters = 1 month

For p months in a row

let the total number of letters for p months be x

=> x letters = p months

Bringing the two statements together gives;

15 letters = 1 month

x letters = p months

Now, let's solve for x by cross-multiplying the above

x letters * 1 month = 15 letters * p months

x = $\frac{15 letters * p months}{1 month}$

x = 15p letters

Therefore, Salvador wrote a total of 15p letters for the p months.

7 0

3 years ago

3x⁷+4|x| is it polynomial function ​

3x⁷+4|x| is it polynomial function