Answer:
w = ± 
Step-by-step explanation:
w² =
( take square root of both sides )
w = ±
= ±
= ± 
Then
w = -
or w = 
There are 14 red marbles for every black marble
Answer:
She has 9 5 cent stamps and 6 7 cent stamps.
Step-by-step explanation:
Let the number of five cent stamps be represented by F and the number of seven cent stamps be represented by S.
The difference between the number of five cent and seven cent stamps is 3
F-S=3
The sum of the collection from each type of stamp is 87 cents
5F+7S=87
Let us solve the equations simultaneously.
F-S=3
5F+7S=87
Using substitution method,
F= 3+S
5(3+S)+7S=87
15+5S+7S=87
12S=87-15
12S=72
S=6
F=3+S
=3+6=9
Therefore the number of five cent stamps is 9 and seven cent stamps is 6.
Answer:
x = 145°
Step-by-step explanation:
We know that y = 98°, so we can find ∠DBC:
180°-y = ∠DBC
180°-98° = 82°
We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.
∠DBC + z = x
82°+63° = x
x = 145°
Answer:
D
Step-by-step explanation: