First of all...YOU'RE NOT DUMB!!! You just need some help! Being confident in your knowledge/skills is half the work! ;D
And second...
PART 1:
28. Polygon ABCDE is a pentagon (it has five sides). The sum of the interior angle measures for a pentagon is 540°. Here's what we know:
m<A = 90°
m<B = 90°
m<D = 90°
m<C = m<E
First, find the sum of the measures of angles A, B, and D.
(90)(3) = 270°.
Next, find the combined angle measure of angles C and E.
540 - 270 = 270°.
Finally, find the measure of angle E (or m<AED).
270 / 2 = 135°.
So, to fill in the blanks:
90 · 3 + x · 2 = 540
m<AED = 135°.
29.
(a) 360°
(b) hexagon
(c) 1080
(d) hendecagon (11 sides)
I have attached a table containing a list of polygons, their side-count, and the sum of their interior angles.
PART 2:
Complimentary angles are angles whose measures add to equal 90°.
Supplementary angles are angles whose measures add to equal 180°.
30. 35° + 55° = 90°; Complimentary.
31. 62° + 108° = 170°; Neither.
Hope this helps!
Using the information given and linear function concepts, it is found that:
- a) The equation is:
.
- b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
- c) It takes 200 seconds for the skydiver to reach the ground.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- The skydiver descends at a rate of 25 feet per second, hence
.
Then:

<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when
, which is used to find b. Then:


Hence, the equation is:
.
Item b:
Time is in seconds, hence, this is y(120).

The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
Item c:
The time it takes to reach the ground is t for which y(t) = 0, hence:




It takes 200 seconds for the skydiver to reach the ground.
You can learn more about linear functions at brainly.com/question/26065573
Answer:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Positive z-score: Above the mean
Negative z-score: Below the mean
All variables are continuous.
X can be positive or negative, just like Z
So the correct answer is:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Answer: The correct answer is A) 0.98 feet
Step-by-step explanation: I took the test and got it correct.