Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
9x - 2y = 11 ... (i)
5x - 2y = 15 ... (ii)
Subtracting equation (ii) from (i) we get;
4x + 0 = -4
4x=-4 , x = -1
Replacing x = -1 in equation (i) we get;
9(-1) - 2y = 11
-9 - 2y = 11
-2y = 20
y = 20 ÷ -2 = -10
The solution to the system of equations is (-1,-10).
Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm
Answer:
second one
Step-by-step explanation:
Answer:
Square root of 30 is irrational because the answer is a non-terminating decimal.
4/7 is rational because it is a fraction.
21 divided by the square root of 4 is irrational because the result is a non-terminating decimal.
Pi is irrational because it's a non-terminating decimal.
-27 is rational because rational numbers can be positive or negative.
I hope this is correct! :-)
