A. jgb=jb+Eh/2
35+45=80/2=40 JGB =40°
B. since it is a line HGJ =180-40
HGJ= 140°
C. tangents to circles have equal lengths if they intercept the way gd and gf do eachother
set the lengths equal to themselves
4x+5=6x-8
-4x both sides
5=2x-8
+8 both sides
13=2x
÷2 both sides
x=13/2 or 6.5
Plug in
4 (6.5)+5=
26+5=31ft
I hope this helps you
6740/10=674
6740/3=2,246666
Answer:
D. right; scalene
Step-by-step explanation:
As you can see in the diagram you have a 90, 50, and 40 degrees angles. Because one of the angles is equal to 90 degrees (a right angle) this triangle can be classified as a right triangle.
No congruent sides are shown.... That means it's a scalene.
Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Answer:
Here is the answer
Step-by-step explanation:
Apples in 1 baskets=100
Apples in 64 baskets=100*64-6400
apples (before adding 30 apples in each
basket).... ..(1)
Some apples left unpacked
So he added 30 apples to each
Total apples added by him- 30*64(in each basket*no of baskets)
= 1920 apples
.(2)
So total no apples eq(1)+eq(2)
= 6400 apples + 1920 apples
=8320 apples packed in total
Therefore the total no. of apples packed were 8320 apples.
Hope this helps
Thanks