Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.
For us to get a scale copy of the dimension, we need to first find the scale factor as shown;
Given the measure of rectangle A:
To get all of the measurement pairs that could be the dimensions of Rectangle B, we need to multiply the length and width by the same factor
Multiplying by 1/2
New length = 12 × 0.5 = 6cm
New width = 3 × 0.5 = 1.5cm
Hence 6cm by 1.5cm can be dimension of B
Multiplying by 1.5
New length = 12 × 1.5 = 18cm
New width = 3 × 1.5 = 4.5cm
Hence 18cm by 4.5cm can be dimension of B
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Answer:
Step-by-step explanation:
Answer:
2 big
30 small
Step-by-step explanation:
possibility
Answer:
x < -4 or x > 7.
Step-by-step explanation:
We first determine the critical points by solving x^2 - 3x - 28 = 0:
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7, - 4
so the critical points are -4 and 7.
Create a Table (pos = positive and neg = negative):
Value of x< - 4 -4 < x < 7 x > 7
---------------------|----------- |--------------------- |---------------------
x + 4 NEG POS POS
x - 7 NEG NEG POS
(x + 4)(x - 7) POS NEG POS
So the function is positive (>0) for x < -4 or x > 7.
You can also do this by drawing the graph of the function.
Answer:
x = 20
Step-by-step explanation:
The two indicated angles are vertical angles and vertical angles are equal
3x+50 = 6x-10
Subtract 3x from each side
3x-3x+50 = 6x-10-3x
50 = 3x-10
Add 10 to each side
50+10 = 3x-10+10
60 = 3x
Divide each side by 3
60/3 = 3x/3
20 =x
