Answer:
70 units.
Step-by-step explanation:
The 4 sides of a rhombus are equal so each side has length 148 /4
= 37 units. The diagonals bisect each other at right angles so when we draw the 2 diagonals we have 4 congruent right-angled triangles.
So consider one of these triangles:
The hypotenuse is 37 units and one of the legs = 1/2 * 24 = 12 units ( half of the diagonal of length 24).
So the other leg is found using Pythagoras:
x^2 = 37^2 - 12^2 = 1225
x = 35.
This is half of the other diagonal so the latter = 70 units.
"inspiring that a person can say we own ourselves and no other person does"
Step-by-step explanation:
Multiply both sides by 3
Simplify the numerators
Multiply both sides by 6
Simplify the numerator
Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6
Check your answer by plugging -6 in for the x in the original problem:
Plug in -6 for x
Change
to
so all denominators are the same
Change
to
for easier work
Subtract the numerators (4 - (-1) )
=
So,
x = -6 .
Answer:
4 packages
Step-by-step explanation:
450 can be divided by 100 4 whole times, the extra cards cannot be added into a package
9=3^2
3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x
