Answer:
18.2
Step-by-step explanation:
JK is the side perpendicular to the horizontal (JL) thus it is opposite to angle 55°. JL is the adjacent, therefore, we can use the trigonometric ratio Tangent to fins the adjacent.
Tan ∅= opposite/ adjacent
Adjacent = opposite/Tan ∅
Adjacent =26/ Tan 55°
=18.2
Answer:
1 < x < 5
Step-by-step explanation:
Inequalities of the type | x | < a , have solution of the form
- a < x < a
Given
2 | x - 3 | < 4 ( divide both sides by 2 )
| x - 3 | < 2 , then
- 2 < x - 3 < 2 ( add 3 to each interval )
1 < x < 5
Answer:
Step-by-step explanation:If you choose any 3 of the 7 vertices, you can connect them with lines to create a unique triangle.
So, the question becomes "In how many different ways can we select 3 vertices from 7 vertices?"
Since the order in which we select the 3 vertices does not matter, we can use COMBINATIONS.
We can select 3 vertices from 7 vertices in 7C3 ways.
4x - 3y = 8 ⇒ 8x - 6y = 16
5x - 2y = -11 ⇒ 15x - 6y = -33
-7x = 49
-7 -7
x = -7
4x - 3y = 8
4(-7) - 3y = 8
-28 - 3y = 8
+ 28 + 28
-3y = 36
-3 -3
y = -12
(x, y) = (-7, -12)
To use elimination you have to multiply the first graph by 2 and the second graph by 3 so that the two y-axis can be equal to -6. Then you do the rest to find the answer of the x-axis and the y-axis.
Answer:
The value of x , y using substitution method is 2 , 5
Step-by-step explanation:
Given as :
The two linear equation as
6 y - 4 x = 22 .......1
y + 2 x = 9
Let y = 9 - 2 x .......2
Now, using substitution method
Substitute the value of y from eq 2 into eq 1
i.e 6 × (9 - 2 x) - 4 x = 22
Or, 54 - 12 x - 4 x = 22
Or, 12 x + 4 x = 54 - 22
Or, 16 x = 32
∴ x = 
i.e x = 2
Now, Put the value of x into eq 2
∴ y = 9 - 2 x
So, y = 9 - 2 × 2
Or, y = 9 - 4
i.e y = 5
So, The value of x , y = 2 , 5
Hence, The value of x , y using substitution method is 2 , 5 Answer
