This is the concept of geometry, the congruence statements that can be evaluated from the parallel figure is:
DH=HF
EH=HG
EF=DG
DE=FG
hence;
Hence ΔDEF is congruent to ΔDGF and ΔEFG is congruent to ΔEGD by Side-side-side (SSS) postulate
Answer: A) 35
Step-by-step explanation:
We have the following:
![\sqrt{215 x}](https://tex.z-dn.net/?f=%5Csqrt%7B215%20x%7D)
Now,
is made up of two factors,
and
:
![215=(43)(5)](https://tex.z-dn.net/?f=215%3D%2843%29%285%29)
So, we have to choose a number for x containing a factor of
and or
. In this case, the best option is
:
Hence:
![\sqrt{215 (35)}=\sqrt{(43)(5)(7)(5)}](https://tex.z-dn.net/?f=%5Csqrt%7B215%20%2835%29%7D%3D%5Csqrt%7B%2843%29%285%29%287%29%285%29%7D)
![\sqrt{215 (35)}=\sqrt{(25)(43)(7)}=\sqrt{25} \sqrt{301}](https://tex.z-dn.net/?f=%5Csqrt%7B215%20%2835%29%7D%3D%5Csqrt%7B%2825%29%2843%29%287%29%7D%3D%5Csqrt%7B25%7D%20%5Csqrt%7B301%7D)
Finally:
![\sqrt{215 (35)}=5 \sqrt{301}](https://tex.z-dn.net/?f=%5Csqrt%7B215%20%2835%29%7D%3D5%20%5Csqrt%7B301%7D)
Making an equation,
Let heralds age be x
10+6x=4x+40
Seperating constants and variables,
6x-4x=40-10
2x=30
x=30/2
=15
Heralds age is 15,
Substitute x with 15 in the equation for rechecking
Answer:
90 seconds
Step-by-step explanation:
If James eats 32 hotdogs in 60 seconds, we want to find how long it would take James to eat 48 hotdogs.
We can use proportion to solve this problem.
If 32:60, then 48:x.
Since it will required more seconds to eat 48 hotdogs, 32 will divide.
If more, less divides.
Therefore
![x = \frac{48 \times 60}{32}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B48%20%5Ctimes%2060%7D%7B32%7D%20)
![x = 90](https://tex.z-dn.net/?f=x%20%3D%2090)
Therefore it will take James 90 seconds if he eats at the same rate
Idk tbh man I think sumbody else will answer