Answer:
The measure of angle K is 118°
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)
Answer:
It takes 6 hours for both to reach an equal paid.
Step-by-step explanation:
You have to form an expressions in terms of x where x determine the number of hours :
Option 1,
$(30 + 9x)
Option 2,
$(14x)
Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :
30 + 9x = 14x
30 = 14x - 9x
30 = 5x
5x = 30
x = 30÷5
x = 6
Answer:
-1
Step-by-step explanation:
Distribute
6x - 2 >= 4x - 6
2x >= -4
x >= -2
We know,
1 unit : 5 feet
so, 120 ft = (120 / 5) units
= 24 units
75 ft = (75 / 5) units
= 15 units
∴ Dimensions of scale drawing is 24 units by 15 units.
Answer:
2
Step-by-step explanation:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x
So, 2(
) - 1 = 
If you multiply both sides by <em>a</em>, you get 2<em>a</em>() - a = (2x-1)+1
Simplify it 2<em>a</em>() - <em>a</em> = 2x
Add <em>a</em> to both sides 2<em>a</em>() = 2x +<em>a</em>
The two <em>a</em>s on the left cancel out 2(x+1)=2x+<em>a</em>
Distribute the 2 2x+2=2x+<em>a</em>
Then subtract 2x from both sides 2 = <em>a</em>
Therefore, <em>a</em> = 2
Hope this helps!
