The answer is in the thousands group
Answer:
- 33°
- 90° -J°
Step-by-step explanation:
<h3>1)</h3>
If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
__
<h3>2)</h3>
Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
When the number is out of parenthesis it means it is multiplying the number between the parenthesis
example - 3 ( 28 + 32 ) => 3 ( 60)
which means 3 * 60 = 180
Note:- you cannot multiply the numbers when they are 3 ( 28 + 32 ) because you have to use PEMDAS ( order of operation ) to solve the problem where P = parenthesis , E = exponents, M = multiplication, D = divide , A = addition , S = subtract.
Answer:
Scale factor = 
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio = 
= 
=
= 64 : 729
Scale factor = ![\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20small%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20large%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{64}{729}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B729%7D%7D)
= 
Perimeter ratio = Scale factor
= 
= 4 : 9
Surface area ratio = (Scale factor)²
= 
= 
= 16 : 81