Answer:
The answer to your question is x =
or x = 5
Step-by-step explanation:
To solve this problem use the Pythagorean theorem because two right triangles are formed.
c² = a² + b²
c = 10
a = x
b = x Because in a square all the sides measure the same.
10² = x² + x²
- Simplify
100 = 2x²
x² = 100/2
x² = 50
x =
or x = 5
Answer:
1st, 2nd and 6th options
Step-by-step explanation:
Given
- x +
= 6x ( multiply through by 6 to clear the fractions )
4 - 6x + 1 = 36x ← option 1 will have the same solution set
----------------------------------------------------------------------
Adding the 2 fractions on the left side gives
+
- x = 6x , that is
- x = 6x ← option 2 will have the same solution set
------------------------------------------------------------------------
From
4 - 6x + 1 = 36x ( add 6x to both sides )
5 = 42x ← option 6 will have the same solution set
297/11 = 27
So we have 27 groups of 11 students. If there are 2 chaperones for every 11 students, then we can do:
27x2=54
There are 54 chaperones on the field trip.
Factors of 39: 1, 3, 13, and 39.
Factors of 65: 1, 5, 13, and 65.
The common factors for 39 and 65 are 1 and 13.
The greatest common factor is 13.