Answer:
x = 21 degrees!
Step-by-step explanation:
3x + x + 96 = 180
4x +96 = 180
Subtract 96 from both sides!
4x = 84
Divide by 4 from both sides!
x = 21 degrees
Answer:
Yes, the ratios do form a proportion.
Answer:
see explanation
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ is double a₇ , then
a₁ + 4d = 2(a₁ + 6d) , that is
a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )
4d = a₁ + 12d ( subtract 12d from both sides )
- 8d = a₁
The sum of n terms of an AP is
= 
[ 2a₁ + (n - 1)d ] , substitute values
= 
( 2(- 8d) + 16d)
= 8.5(- 16d + 16d)
= 8.5 × 0
= 0
Answer: B: It has a negative charge.
Step-by-step explanation:
According to theory espoused by the French physicist, Charles-Augustin de Coulomb, like charges charges will repel each other and unlike charges will attract one another.
This means that objects with negative charges will repel each other. As the first balloon in the question was negatively charged, it would only repel the other balloon if it was negatively charged as well.
Answer:
c. f(x) = (x + 4)(x - 1)
Step-by-step explanation:
Since you're familiar with the product of two binomials:
(x +a)(x +b) = x² + (a+b)x + ab
you know that the constants in the binomial factors must ...
- have a product of -4
- have a sum of +3
__
All of the choices except B have binomial constants that have a product of -4.
In order, the sums of the remaining choices are ...
A: 1-4 = -3
C: 4-1 = 3 . . . . this is the correct choice
D: -2+2 = 0
