Answer:
x = 18 y = 10
Step-by-step explanation:
let the first number be x
let the second number be y
x = y + 8..... equation 1
2x + y = 46.... equation 2
x is the larger number
y is the smaller number.
Rearrange the equation and add equation 1 to equation 2.
x - y = 8
+ 2x + y = 46
-------------------
3x + 0 = 54
3x = 54
divide both sides by 3
x = 54/3
x = 18
Substitute x = 18 into equation 1
x = y + 8
18 = y + 8
collect like terms
y = 18-8
y = 10
Answer:
a₇ = 2.375
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r =
=
=
= - 
This indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 152 and r = -
, then
= 152
, so
a₇ = 152
= 152 ×
= 2.375
SAS stands for Side-Angle-Side congruence/similarity theorem
HL is Hypotenuse-Leg congruence/similarity theorem.
What's the question? lol
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
Answer:
Step-by-step explanation: