The value of the variable y is 9 given that BDJ=7y+2 and angle JDR=2y+7
From the attached diagram, we can see that the<u> sum of m<BDJ and m<JDR is complementary</u> (i.e. sums up to 90degrees)
Given the following
m<BDJ = 7y + 2
m<JDR = 2y + 7
Summing up to 90
m<BDJ + m<JDR = 90
7y + 2 + 2y + 7 = 90
7y+2y+2+7 = 90
9y + 9 = 90
9y = 90-9
9y = 81
y = 81/9
y = 9
Hence the value of the variable y is 9
Learn more here: brainly.com/question/17247176
Answer:
(5x² +7x -26) units²
Step-by-step explanation:
Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26