The 5x and the combination of (40° + x) are "vertical angles".
Vertical angles are equal.
So
5x = 40° + x
Subtract 'x' from each side: 4x = 40°
Divide each side by 4 : x = ?
Answer: 28 Inches
Step-by-step explanation:
First draw a square for this. Since the kitchen tile is a square, we only need one side of the shape which in this case it 7in. Then you take this number and input it on all sides. You should have 7in on all sides. Next you write this equation: 7+7+7+7 or 7x4. This will then give you the answer 28. So, the perimeter of the kitchen tile is 28 inches.
= 120/100 x 320
= 12 x 32
= 384
Answer:
a) 0.35
b) 420 drawing pins
Step-by-step explanation:
a) The question relates to the relative frequency of the pins pointing up which is found by the formula as follows;

The total number of pins land 'point up' = 3 + 5 + 6 + 2 + 4 + 7 + 3 + 3 + 4 + 5
The total number of pins land 'point up' = 42 successful trials
Total number of trials = 12 × 10 = 120 trials

Due to the large number of trials, the relative frequency ≈ Probability and the probability that a single pin will land point up = 7/20 = 0.35
b) Given that the number of trials now = 12 × 100 = 1200, we have;
The expected number of drawing pins in total that would land point up = 0.35×1200 = 420 pins.