Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer:
Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.
From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.
Therefore, the justification to complete Jim's proof is "SAS postulate"
Step-by-step explanation:
12 are tankesr
40 cars total
12/40
12/40=6/20=3/10
3/10=tankders
10/10-3/10=7/10
7/10=70/100=70%
70% wern't tankser
Answer:
55°
Step-by-step explanation:
y+x=180°
25°+30°+x=180°
25°+30°=y
y=55°
*Exterior Angle Theorem*
<u><em>Sorry for the lack of explanation. It's midnight, so I didn't have much time.</em></u>
Answer:
Based on the model, the length of the wall is 
ft, the width of the wall is 
ft, and the height of the wall is 
ft. The volume of the portion of security wall that Tim has constructed so far is 
cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length 
.
Width of the prism = 
.
To find length , height and volume of the figure.
Solution:
From the figure we can conclude that :
Length side of the prism counts 9 cubes.
Thus, length of the prism will be given as :
⇒ 
⇒ 
⇒ 
(Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒
⇒ 
⇒ 
(Answer)
Volume of the prism can be given as :
⇒ 
⇒ 
⇒ 
(Answer)
