Answer:
x = 1
Step-by-step explanation:
( 6^2 + 1 ) 6^x = ( 36 + 1 ) x " multiply by " 6^x = 222
so 37 x 6^x = 222
divide by 37
6^x = 6^1
so
x = 1
^ this symbol is for the power
The original square of piece of paper,
<span>with the cutting and folding lines would look like this: </span>
<span>You see 4 congruent squares cut out of the corners. </span>
<span>If the length of the sides of those squares is 4 inches, </span>
<span>then the height of the box will be 4 inches. </span>
<span>Let x be the length (in inches) of the side of the square (the bottom of the box). </span>
<span>The surface area of the bottom (in square inches) is x^2, </span>
<span>and the volume of the box, calculated as area of the bottom times height, </span>
<span>(in cubic inches) is 4x^2 </span>
<span>So 4x^2 = 784---> x^2 = 784/4 ---> x = sqrt 196 = 14. </span>
<span>Answer: </span>
<span>14 inches
Hope this helps :)
</span>
A) 6² and 7² , 36 and 49 not this one
B) 7²=49 and 8²=64 not this one
C) 8²=64 and 9²=81 , so 8 and 9, correct answer
Let x be the total money she had
So x-45.32=32.25
□ x =45.32+32.25
If one of the exterior angles is 40, you can find its adjacent interior angle by subtracting 40 from 180. This is 40, so the triangle has 2 interior angles that are equal to 40. Now we have 2 of 3 interior angles. The sum of the measures of the interior angles of a triangle is 180, so we can set this equation up:
x + 40 + 40 = 180
x + 80 = 180
x = 100
So the triangle's angles have measures of 40,40 and 100 degrees.
