9514 1404 393
Answer:
x = 20°
Step-by-step explanation:
For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.
110° = 2x + 70°
40° = 2x
20° = x
_____
Similarly, ...
y = x + 70° = 20° +70°
y = 90°
Problem 1.
Think of the outer rectangle by joining the two 5 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 28 in.
The left and right sides measure 5 in. + 12 in. + 5 in. = 22 in.
Area of the outer rectangle = LW = 28 in. * 22 in. = 616 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 15 in. = 180 in.^2
Subtract the areas:
616 in.^2 - 180 in.^2 = 436 in.^2
Answer:
<span>A. 436 Square Inches
Problem 2.
Do the same thing as for problem 1. Join the two 4 in. segments with a line.
</span>
<span>Think of the outer rectangle by joining the two 4 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 24 in.
The left and right sides measure 4 in. + 12 in. + 4 in. = 20 in.
Area of the outer rectangle = LW = 24 in. * 20 in. = 480 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 13 in. = 156 in.^2
Subtract the areas:
480 in.^2 - 156 in.^2 = 324 in.^2
Answer:
</span><span>B. 324 Square Inches</span>
Answer:
Median =17
Step-by-step explanation:
Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet.
Let X be the height of a randomly selected adult giraffe.
X is a random variable.
a) X is N(17, 0.9)
b) Median giraffe height = 17 ft since in normal distribution mean = median
c) When x = 18.5, Z = 
d) 
e) 
f) 75th percentile for z is 0.675
Idkbecause I’m in middle school wait no sorry
Answer:
1 6/8 is a mixed number. To turn it into a fraction which is called an improper fraction you have to multiply the denominator by the whole number which is 1, then add the numerator which is 6. Your answer should be 14/8 or simplified to be 7/4.
Step-by-step explanation: Step 1: Multiply the denominator and the whole number. In this case it's 1 and 8. 1x8.
Step 2: Once you get the answer to 1x8 which is 8, you add the numerator to the product. 8+6=14.
Step 3: Since we now know the answer is 14/8 we need to simplify it. We find the greatest common factor between numerator and denominator which is 2. Then divide both 14 and 8 by 2.
Step 4: 1 6/8 as a fraction is 14/8 which simplifies to 7/4.
Hope this helped.
