Minus 2 from bothsides
f-2=3g
divide both sides by 3
(f-2)/3=g
g=(f-2)/3
Answer:
a = 17, b = 6
Step-by-step explanation:
Sides GF and GH are congruent, so we have ...
GF = GH
30 = 2a -4 . . . . substitute given values
15 = a -2 . . . . . divide by 2
17 = a . . . . . . . . add 2
Sides FJ and HJ are congruent, so we have ...
FJ = HJ
3b +6 = 24 . . . . substitute given values
b +2 = 8 . . . . . . divide by 3
b = 6 . . . . . . . . . subtract 2
The values of a and b are (a, b) = (17, 6).
The inverse of matrix A = ![\left[\begin{array}{cc}2&2&1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%262%261%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
is 
The given matrix is A =
The inverse of a matrix is given by
...(1)
Now, determinant of matrix A is
|A| = 
= (3)(2) - (2)(1)
= 6 - 2
= 4
Now, adjoint A will be
= 3
= -1
= -2
= 2
AdjA =
Now, substituting the values of |A| and AdjA in equation (1), we get
Therefore,
Know more about Inverse of Matrix: -brainly.com/question/12442362
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Answer:
■ = 7
Explanation:
Because there two ratios are proportional as a result of being equal.
To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.
i.e a : b = a/b.
So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.
i.e a/b = c/d → b × c = a × d → bc = ad
Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.
8■/8 = 56/8
1■ = 7
■ = 7
This method works for a missing part pretty much anywhere.
____________________
This is a little faster for ratios:
To find the value of the unknown part of the ratio,
just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.
4 : ■ = 8 : 14
Notice that 4 corresponds to 8
So the factor between these is 2.
Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.
Therefore ■ = 14 × 1/2 = 14/2 = 7
Answer:
It’s 1
Step-by-step explanation:
