Given
The mass of a certain 10k gold necklace is 18 grams.
Find out how many grams of gold are in the necklace.
To proof
let us assume that the gold in the necklace be x.
As given in the question
10k gold necklace i.e gold necklace is made up of the various elements with the gold.
10k gold necklace is 18 grams.
As pure gold is of the 24k.
than the equation becomes

solving
x =7.5 gram
7.5 grams of gold are in the necklace .
Hence proved
9514 1404 393
Answer:
33 ft
Step-by-step explanation:
The perimeter formula for a rectangle is ...
P = 2(L +W)
Filling in the given numbers, we have ...
146 = 2(40 +W)
73 = 40 +W . . . . . . . divide by 2
33 = W . . . . . . . . . . . subtract 40
The backyard is 33 feet wide.
Answer:
The measure of Angle G is 62.5°.
Step-by-step explanation:
Given:
Δ EFG is an Isosceles Triangle.
EG = EF
m∠ E = 55°
To Find:
m∠ G = ?
Solution:
Δ EFG is an Isosceles Triangle. ........Given
EG = EF ..............Given
∠ G = ∠ F = x (say) ..................Isosceles triangle property
Now in Δ EFG we have
∠ E + ∠ G + ∠ F = 180° .......... Angle sum property of triangle
On substituting the values we get

The measure of Angle G is 62.5°.
Answer:
g(-1) = 4
Step-by-step explanation:
Given:
g(x) = 
To find g(-1), substitute x = -1
Thus:
g(-1) = 
g(-1) = 
= 
= 
g(-1) = 4