Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
Step-by-step explanation:
Subtract the first term from the second term:
35.5 - 37.25 = -1.75
Subtract the second term from the third term:
35.5 - 33.75 = -1.75
The common difference is -1.75.
To find each subsequent term, add the common difference to the current term.
33.75 + (-1.75) = 32
32 + (-1.75) = 30.25
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
Answer:
.
Step-by-step explanation:
Roughly 1.7 percent of the bands are shorter than 3cm. We calculate the z score of the data point in standard distribution. By definition of z score, we use score minus mean divided by standard deviation. z=(3-6)/1.5=-2. A z score of -2 corresponds to approximately 1.7%, in other words, roughly 1.7 percent of data is less than 3cm.
Answer:
(A) Complements of the same angle are congruent.
Step-by-step explanation:
Since, ∠CEF is complementary to ∠DCF, therefore
∠CEF+∠DCF=90° (1)
Also, ∠CEG=∠CEF+∠FEG
⇒90°=∠CEF+∠FEG (2)
Therefore, from(1) and (2), we get
∠CEF+∠DCF=90°
∠CEF+∠FEG=90°
Subtracting both the equations, we get
∠DCF-∠FEG=0
∠DCF=∠FEG.
Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.