Answer:
The numerator must be greater than 16
Step-by-step explanation:
We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;
x/y > 2
We are further told that the denominator is 8.
Thus;
x/8 > 2
Multiply both sides by 8 to give;
x > 16
Thus,the numerator must be greater than 16.
Answer:
m∠SRV = 48°
Step-by-step explanation:
In the parallelogram attached,
m∠TUV = 78°
m∠TVU = 54°
By applying the property of the angles of a triangle in ΔTVU,
m∠TUV + m∠TVU + m∠UTV = 180°
78° + 54° + m∠UTV = 180°
m∠UTV = 180° - 132°
= 48°
Sides RS and TU are the parallel sides of the parallelogram and diagonal TR is a transverse.
Therefore, ∠UTV ≅ ∠SRV [Alternate interior angles]
m∠UTV = m∠SRV = 48°
Answer:
- a = 3√10 ≈ 9.5
- b = 9√10 ≈ 28.5
Step-by-step explanation:
We are given two relations we can use to find "a" and "b":
a = 3b
a² + b² = 30²
Substituting for "a", we have ...
(3b)² +b² = 900
10b² = 900
b² = 90
b = √90 = 3√10 ≈ 9.5
Then "a" is ...
a = 3b = 3(3√10) = 9√10 ≈ 28.5
The values of "a" and "b" are about 28.5 and 9.5, respectively.
G(x) = x^2 - 6x + 14
g(x) = (x - 3)^2 + 5
vertex (h,k) = (3,5)
answer
h = 3
