Answer: 2
To factor the expression, you must try to find the greatest common factor of 4 and 6 since you x and y have no common factors. The greatest common factor is 2 for 4 and 6, since when you divide out the 2, you are left with 2 and 3 which cannot be factored anymore.
Answer:
1) ∠A=84°
2) ∠C=20°
Step-by-step explanation:
1)
First, find ∠C:
<em>(I'm assuming the exterior angle of 126° makes a straight line with ∠C)</em>
The angles on a straight line always add up to 180. Therefore:
∠C+126=180
∠C=180-126
∠C=54
Then find ∠B:
We also know that all the angles in a triangle add up to 180. Therefore:
∠A+∠B+∠C=180
∠A+∠B+54=180
∠A+∠B=126
<em>(we know ∠A=2(∠B))</em>
2(∠B)+∠B=126
3(∠B)=126
∠B=42
Now, find ∠A:
∠A=2(∠B)
∠A=2(42)
∠A=84°
2)
First, find ∠B:
<em>(Again, I'm assuming the exterior angle of 100° makes a straight line with ∠B)</em>
The angles on a straight line always add up to 180. Therefore:
∠B+100=180
∠B=180-100
∠B=80
Then find ∠A:
We also know that all the angles in a triangle add up to 180. Therefore:
∠A+∠B+∠C=180
∠A+80+∠C=180
∠A+∠C=100
<em>(we know ∠A=4(∠C))</em>
4(∠C)+∠C=100
5(∠C)=100
∠C=20°
Answer:
Given the graph and
We have to find the value of k;
Since, g(x) = f(x) +k
Subtract from both sides we get;
Add 2 to both sides we get;
Simplify:
or
k = 5
Therefore, the value of k = 5
Given:
$2100 in an account at 1.5% per year simple interest.
A(n)= 2100+ (n-1) (0.015.2100)
Required:
How much will you have in the account in year 6? Round your answer to the nearest dollar.
Explanation:
Required answer:
Answer:
1728
Step-by-step explanation:
27
64
-----------
108
1620
1728