Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
Short answer 3 times as much = 54 m^3 <<<<< answer
The volumes are krelated by k So solve for k
Volume of Cylinder = k Volume of the cone.
pi r^2 h = k(1/3 pi r^2 h) Since you know that r is the same in both and so is h they divide out.
divide by h
pi r^2 = k (1/3 pi r^2 Divide by pi
r^2 = k (1/3 r^2 ) Divide by r^2
1 = k (1/3) multiply by 3
3 = k
The volume will be 3 times as much.as the cone.
3 * 18 = volume of cylinder.
54 <<<< volume of cylinder.
3(4x - 2) = 30
12x - 6 = 30 <em>distributed 3 on the left side</em>
<u> +6 </u> <u>+6 </u>
12x = 36
x = 3
Answer: x = 3
Answer:
76
Step-by-step explanation:
The first thing that you want to do is get rid of the parenthesis by multiplying 3 by 2 so the equation is 2 times 32 + 6 times 2. next you want to mutiply 2 and 32 to get 64 then multply 6 by 2 for 12 then add 12 and 64 together
Answer:
y = 5/6x + 4
Step-by-step explanation:
y = mx + b
b = 4 because when x = 0, y = 4
m = (y2 -y1) / (x2 - x1)
where two points on the equation are (x1, y1) & (x2, y2)
Let's pick points (6,9) & (-6,-1)
m = (-1 - 9) / (-6 - 6)
m = -10 / -12 = 5/6
