Angle 1 and angle 8 are congruent
Take both mixed numbers (a whole number plus a fraction) and turn them into improper fractions ( a numerator (top number) bigger than the denominator (bottom number). To do this, multiply the denominator by the whole number, and add the result to the numerator.
5 5/8 will become 45/8
1 1/2 will become 3/2.
Area is length* width, so width would be Area/ length. So 45/8 is the area and 3/2 is the length. Now you have (45/8)/(3/2). To divide fractions, take the second fraction and flip the numerator and denominator, forming the reciprocal (2/3). Now multiply 45/8 and 2/3
The result is 90/24, and simplifying would get 15/4, or 3 3/4. This is the width(or length)
8x + 5 = 3x + 15
8x - 3x = 15 - 5 (put same kinds of number on one side and change the signs)
5x = 10 (simplify)
5x/5 = 10/5 (simplify)
x = 2 (answer)
hope this helps
Answer:
15.87%
Step-by-step explanation:
First thing here is that we calculate the z-score which corresponds to 76
mathematically;
z-score = (x-mean)/SD
mean = 71 and SD = 5
plugging these values, we have;
z = (76-71)/5 = 5/5 = 1
Now, we want to firstly get the probability that we have a student shorter than 76 inches
The probability we want to calculate is P(z<1)
we can get this using the z-score table directly
That would be 0.15866
In percentage that is 15.866% which is 15.87% to the nearest tenth
