Answer:
a) length of sides remain unchanged
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
12+2x=120
2x=108
x=54
Answer:
a. 3/2.
b. (0, 2).
Step-by-step explanation:
a. 2y = 3x + 4 Divide through by 2:
y = 3/2 x + 2
Comparing this to the general form y = mx + c where m = the gradient we see that the gradient = 3/2.
b. When the line crosses the y-axis x = 0 so we have the equation:
2y = 3(0) + 4
2y = 4
y = 2.
So the required point is (0, 2).
Answer:
x = 50
Step-by-step explanation:
The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.
2(x + 10) = 3x - 30
Distribute on the left side.
2x + 20 = 3x - 30
Subtract 2x from both sides.
20 = x - 30
Add 30 to both sides.
50 = x
x = 50
Answer:
The multiplication property of equality states that if two values a and b are equal when you multiply each by the same value c, the products are equal.
Step-by-step explanation:
Multiplication property of equality:
- It states that multiplying both sides of the the equation with the same constant or number then the truth value of the equation does not change.
- That is the equality still holds true.
So, if
Then, we can write by multiplication property of equality
Thus, the correct answer is
The multiplication property of equality states that if two values a and b are equal when you multiply each by the same value c, the products are equal.