Answer:
Step-by-step explanation:
We have:
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
Answer:
200 ducks total in the pond
Step-by-step explanation:
2% of x equals 4
0.02x = 4
x = 200
You must multiply each number for example 8*4*2= 64 so the after math is 64 after all the work the answer is ^4.
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
