Answer:
- (4x -4)° +x° +(6x-3)° = 180°
- J = 99°
- K = 64°
- L = 17°
Step-by-step explanation:
The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."
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<h3>equation</h3>
(4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle
<h3>solution for x</h3>
11x -7 = 180 . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 17 . . . . . . . . . divide by 11
<h3>angle values</h3>
m∠J = (6x -3)° = (6(17) -3)° = 99°
m∠K = (4x -4)° = (4(17) -4)° = 64°
m∠L = x° = 17°
Answer:
Value of d is:
48
Step-by-step explanation:
We are given a matrix M as:
M=![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
We are given that:
a=19, b=24 and c=38
We have to find the value of d so that M is singular
i.e. determinant of M=0
i.e. ad-bc=0
i.e. 19d-24×38=0
i.e. 19d=24×38
i.e. d=![\dfrac{24\times 38}{19}](https://tex.z-dn.net/?f=%5Cdfrac%7B24%5Ctimes%2038%7D%7B19%7D)
i.e. d=48
Hence, Value of d is:
48
1/5 written as a decimal just divide 1 by 5 and you get: 0.2 as a decimal.
Answer:
1. A is correct 2. d is correct
Step-by-step explanation:
1. 11.25x 3 = 33.75