Answer:
x=3
Step-by-step explanation:
If the triangles are congruent
13 = 4x+1
subtract 1 from each side
13-1 = 4x+1-1
12=4x
Divide by 4
12/4 = 4x/4
3=x
Answer: The missing length is 40 m.
Step-by-step explanation:
30^2 + b^2 = 50^2
900 + b^2 = 2500
-900 -900
b^2 = 1600
b= 40
Answer:
4×(x+8)=25.
use the 4 to multiply the numbers in the bracket.
which is 4x+32=25.
then collect like terms which is...
4x=25-32...
4x=-7.
x=-7/4= -1.75 or -1 whole number 3/4.
Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x = 
Therefore, Perimeter = 2(a + x) = 2(a +
) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.