Answer: 29
Step-by-step explanation: 180-146= 34-5 29.
Hey there! I'm happy to help!
To find the x-value of the midpoint, you add the x values and divide by 2.
6+10=16
16/2=8
And for the y value, you do the same thing but with the y values.
-10+7=-3
-3/2=-3/2
Therefore, our midpoint is (8,-3/2).
Have a wonderful day! :D
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem 
where 
is the hypotenuse of the triangle.
Therefore, let 
be the side length of this largest square. Since the area of a square with side length 
is given by 
, 
will represent the area of the square:
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I</em> is the amount of interest, <em>p</em> is the principal borrowed, <em>r</em> is the interest rate written as a decimal number, and <em>t</em> is the amount of time in years. First we find the amount of interest. He borrowed $35000 but paid back $46375. That means he paid 46375-35000 = $11375 in interest. We can now substitute our information into our interest formula:
11375=35000(<em>r</em>)(5)
11375=35000(5)(<em>r</em>) ----- remember that multiplication is commutative
11375=175000<em>r</em>
Divide both sides by 175000 to cancel it:
11375/175000 = 175000<em>r</em>/175000
0.065 = <em>r</em>
To convert this to a percentage, we multiply by 100:
0.065(100) = 6.5%
