Answer:
(- 5, 1 )
Step-by-step explanation:
- 6x - 14y = 16 → (1)
- 2x + 7y = 17 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term
6x - 21y = - 51 → (3)
Add (1) and (3) term by term to eliminate x
0 - 35y = - 35
- 35y = - 35 ( divide both sides by - 35 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
- 6x - 14(1) = 16
- 6x - 14 = 16 ( add 14 to both sides )
- 6x = 30 ( divide both sides by - 6 )
x = - 5
solution is (- 5, 1 )
Answer:
The area of the shape is 89m²
Step-by-step explanation:
You need to subtract the area of the empty triangle from the area of the rectangle.
The rectangle's area is 13m × 8m = 104m²
The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²
Subtract the triangle's area from the rectangle:
104m² - 15m²
= 89m²
Answer:
z= 13
x= 36
y= 18
Step-by-step explanation:
Solving for z.
We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.
We can set both of those angles equal to each other, and solve for our missing side, z.
108= 8z+4
104=8z
z= 13
Solving for x.
We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.
We can set both of these angles equal to each other, and solve for our missing side, x.
3x=108
x= 36
Solve for y.
We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.
4y+108=180
4y= 72
y= 18
Answer:
x= -6
Step-by-step explanation:
The total number of snakes in the zoo is 10.
<h3>How to use ratio to find the number of snake?</h3>
The number of snake can be found using ratio as follows:
The animals in the zoo are lions, tigers and snakes and he has them in the ratio of 5 : 3 : 2. The total animal is 50 animals.
Therefore,
total snakes = 2 / 10 × 50
total snakes = 100 / 10
total snakes = 10
Therefore, the total number of snakes in the zoo is 10.
learn more on ratio here: brainly.com/question/14524026
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