Answer:
x > 3
Step-by-step explanation:
Given
2(4 + 2x) < 5x + 5 ← distribute left side
8 + 4x < 5x + 5 ( subtract 5 from both sides )
3 + 4x < 5x ( subtract 4x from both sides )
3 < x ⇒ x > 3
Answer:
a = 60
b = 60
c = 120
Step-by-step explanation:
For a;
a + 120 = 180
This is because angles on a straight line are supplementary
a = 180-120
a = 60
a = b = 60
This is because they are corresponding angles and corresponding angles are equal
c = 120
This is because they are alternate exterior angles and alternate exterior angles are equal
1700÷40= 42.5
step one: you divide 40 into 1700
step two: you find the closest number that goes into 1700 which is 4 so 40×4= 160
step three: then you subtract 1700 from 160 and you'll get 100
step four: then you'll find the closest number that goes into a 100 and that will be 2 so 40×2=80
step 5: you'll then subtract 100 from 80 and you'll get 20
step 6: you when then add a decimal and add an extra 0 to 1700 so you will now have 17000 you will bring down the 0 to make 20 into 200 and you will find the closest number that will go into 200 which will be 5 cause 40×5= 200 so you're answer will be 42.5units
9514 1404 393
Answer:
6 feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
For a sphere, the volume is ...
V = 4/3πr^3
You want the volumes to be the same when h=8, so we have ...
πr^2·8 = 4/3πr^3
Dividing by πr^2, we have ...
8 = 4/3r
r = 3/4·8 = 6
The radius is 6 feet.
Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
