Answer:
∠ KLM = 27°
Step-by-step explanation:
∠ KLM + ∠ NLM = 90 , that is
3x + 7x = 90
10x = 90 ( divide both sides by 10 )
x = 9
Thus
∠ KLM = 3x = 3 × 9 = 27°
Check the picture below.
since in a rhombus the diagonals bisect each other, thus EC = EA.
now, the rhombus is simply 4 congruent triangles, we know the base and height of one of them, thus
![\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=8\\ h=15 \end{cases}\implies A=\cfrac{1}{2}(8)(15)\implies A=60 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of all 4 triangles}}{4(60)\implies 240}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%20%5Cbegin%7Bcases%7D%20b%3D8%5C%5C%20h%3D15%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%288%29%2815%29%5Cimplies%20A%3D60%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20all%204%20triangles%7D%7D%7B4%2860%29%5Cimplies%20240%7D)
Okay. So when you solve 864/31 on a sheet of paper and you divide it properly, the remainder you get should be 27. The answer is B: 27.
Answer: 0.0885
Step-by-step explanation:
Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.
i.e. p= 0.16
Sample size : n= 154
Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

[∵
]
[Using the standard z-value table]
Hence, the required probability = 0.0885
Answer: Min = (0.5, −6.25)
Step-by-step explanation: Standard form:
x2 − x − 6 = 0
Factorization:
(x + 2)(x − 3) = 0
Solutions based on factorization:
x + 2 = 0 ⇒ x1 = −2
x − 3 = 0 ⇒ x2 = 3