Given:
∠JEK + ∠DFH = 90°
Find:
relationship, if any, of ∠JEK to angles CFL, HFG, LFE
Solution:
We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.
Evaluating the choices, we find
A) false. The angles are not complementary, they are equal.
B) false. The angles are not equal, they are complementary.
C) false. The angles are not supplementary, they are equal.
D) TRUE. The angles are equal.
The appropriate choice is ...
D) ∠JEK ≅∠CFL
The binomial expansion:

a = 2y, b = 4 x^3, n = 4
( x )^3k = x^ 9
k = 3


Answer: the coefficient is
512.
Answer:
$14.00
Step-by-step explanation:
First you round 3.75 to 4.00 because 7 is greater than 5 so it would turn the 3 to 4 than add the zeros it's 4.00. Second You multiply by three so 4.00 × 3 you will get 12.00. Than you round 1.89 to 2.00 because 8 is greater than 5 so it would turn to the 1 to the 2 than add the zeros it's 2.00. Finally you add them together and get $14.00
Answer:
8
Step-by-step explanation:
8•4=32 it's not that bad
Answer:
Step-by-step explanation:
the mean height, remember is the average
62+62+59+61+59+70+59+62=494/8=61.75
median is the middle value, so we will write the numbers in order
59,59,59,61,62,62,62,70
we have an even number so we add the middle numbers and divide by 2,
the median=61+62=123/2=61.50
mode is the number that occurs most often : 62 and 59