i think the answer is 76.68
Answer:
Option (D)
Step-by-step explanation:
Pythagoras theorem states,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(13)² = (5)² + (12)²
By the converse of Pythagoras theorem,
If we draw two sides 5cm and 12cm of a triangles with a right angle between them, third side 13 cm will fit to form a right triangle.
Therefore, Option (D) will be the answer.
Answer:
The value of 
.
Step-by-step explanation:
Given:
We need to solve this equation.
Solution:
First combining equation having same denominators we get;
Now denominators are common so we will solve the numerators we get;
Now by cross multiplication we get;
Now Applying distributive property we get;
Now Combining the like terms we get;
Hence on solving we get the value of .
Answer:
I'm going to put the most shells possible on the necklaces this would be 38, 38x5=190, meaning that we have a remainder of 2.
2 shells would be on the magnet
Answer:
x = 23°
Step-by-step explanation:
The two marked angles are "vertical" angles, so are congruent. That means they have the same measure, so ...
60° = 2x° + 14°
30° = x° +7° . . . . . . . divide by 2
23° = x° . . . . . . . . . . subtract 7°
_____
<em>Comment on the solution process</em>
The equation is what is called a "two-step linear equation." That is because it can be solved in two steps. Here, the steps we used were to divide by 2, then subtract 7. More conventionally, the two steps would be to subtract 14, thus isolating the variable term on one side of the equal sign, then divide by the coefficient of x (which would be 2), so as to get x by itself.
We have divided by the coefficient of x first, because all numbers in the equation are divisible by 2, and because that allows us to work with smaller numbers--specifically, the single-digit number 7, rather than the double-digit number 14. This makes the subtraction easier, IMO.
