Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of
is a parabola that has its vertex at the origin.
The equation of the transformed graph is

The vertex of this transformed function is

Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
Answer:
x∉R
Step-by-step explanation:
1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:
x=(-(-18)±√(-18)²-4×9×14)/2×9
2) Evaluate the power, calculate the product and multiply the numbers:
x=(18±√324-504)/18
3) Calculate the difference:
x=(18±√-180)/18
4) The square root of a negative number does not exist in the set of Real Numbers:
x∉R
1 hundred can also be 10 tens so when you add 10 tens and 4 tens you 14 tens and that is the same thing as 14 tens
Answer:
Step-by-step explanation: