In the given diagram, line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF. So the measure of angles are :
1. m∠DEF= 112° because ∠ABC≅∠DEF
2. m∠ABG= 56° because a straight line BG is bisecting ∠ABC in two equal parts. So, 
3. m∠CBG= 56° because ∠ABG and ∠CBG are equal.
4. m∠DEG= 56° because ∠ABG ≅ ∠DEG
Step-by-step explanation:
percentage
current number/total number * 100
150/400*100 is 37.5%
1) 550 x 15 = 8250 (First you want to get the total cost of the computers)
2) 30,000 - 8250 = 21,750 (Then you want to subtract that by 30,000 to see how much money is left over)
3) 21,750/6 = 3625 (Then divide by 6 ,by the weeks, and get your answer)
Answer: $3625
We will take the volume of each box separately to find the difference between them.
We have then that the volume of the boxes is:
V = (L) * (W) * (h)
Where,
L: long
W: width
h: height
The smaller box:
V1 = (12) * (2) * (7 3/4)
V1 = 186 in ^ 3
the lager box:
V2 = (12) * (2) * ((7 3/4) * (100/80))
V2 = 232.5 in ^ 3
The difference is:
V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3
Answer:
The difference in the volumes of the two boxes is:
46.5 in ^ 3
We know that
surface area smaller figure=scale factor²*surface area larger figure
scale factor=√[surface area smaller figure/surface area larger figure]
scale factor=√[4/9]-----> scale factor=2/3
so
volume smaller figure=scale factor³*volume larger figure
volume smaller figure=(2/3)³*216----> (8/27)*216----> 64 in³
the answer is
the volume of the smaller figure is 64 in³
