Answer:
43
Step-by-step explanation:
Remove parenthesis.
−6+3(2−4⋅−3+6)−5
Multiply −4 by−3.
−6+3(2+12+6)−5
Add 2 and 12.
−6+3(14+6)−5
Add 14 and 6.
-6+3(20)-5
Multiply 3 by 20.
-6+60-5
Add -6+60.
54-5
Subtract 54 and 5.
43
=<span><span>(<span><span>2x</span>+3</span>)</span><span>(<span><span>4x</span>+<span>−2</span></span><span>)
</span></span></span><span>=<span><span><span><span><span>(<span>2x</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>2x</span>)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>4x</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span></span>
<span>=<span><span><span><span>8<span>x2</span></span>−<span>4x</span></span>+<span>12x</span></span>−6</span></span>
<span>=<span><span><span>8<span>x2</span></span>+<span>8x</span></span>−6</span></span>
The value of x is 9 and AD is 54.
<u>Step-by-step explanation:</u>
From figure, if DC = AD, we can solve for value 'x'
DC = AD
Given:
DC = 6 x
DA = 4 x + 18
Equating the values of both, we get
6 x = 4 x + 18
6 x - 4 x = 18
2 x = 18
x = 9
So, the value of x is 9. By using this value of x, find AD
AD = 4 (9) + 18
AD = 36 + 18
AD = 54