Sum of internal angles on same side of transversal is 180
(8x-14) +(2x+54) =180
10x +40 =180
10x =140
x=14
option D x=14 is correct
We have that
[the area of the trapezoid]=[area of rectangle]+2*[area of triangle]
[the area of the trapezoid]=[10*9]+2*[9*9/2]
[the area of the trapezoid]=[90]+2*[40.5]= 171 units²
see the attached figure
the answer is 171 units²
X = -2 and y = -5
Explanation: Solve by using the process of elimination.
Step: Solve<span><span><span>−<span>1.5x</span></span>+<span>0.3y</span></span>=1.5
Solving for x = </span><span><span><span><span>−<span>1.5x</span></span>+<span>0.3y</span></span>+<span>−<span>0.3y</span></span></span>=<span>1.5+<span>−<span>0.3y *</span></span></span></span>Add -0.3y to both sides*
<span><span>−<span>1.5x</span></span>=<span><span>−<span>0.3y</span></span>+1.5
</span></span><span><span><span>−<span>1.5x</span></span><span>−1.5</span></span>=<span><span><span>−<span>0.3y</span></span>+1.5</span><span>−1.5 *</span></span></span>Divide both sides by -1.5*
<span>x=<span><span>0.2y</span>−1</span></span>
Step: Substitute <span><span>0.2y</span>−1 </span>for x in <span><span><span><span>1.8x</span>+<span>0.9y</span></span>=<span>−8.1</span></span>:
</span><span><span><span>1.8x</span>+<span>0.9y</span></span>=<span>−8.1
</span></span><span><span><span>1.8<span>(<span><span>0.2y</span>−1</span>)</span></span>+<span>0.9y</span></span>=<span>−8.1
</span></span><span><span><span>1.26y</span>−1.8</span>=<span>−8.1 *</span></span>Simplify both sides of the equation*
<span><span><span><span>1.26y</span>−1.8</span>+1.8</span>=<span><span>−8.1</span>+1.8</span></span>(Add 1.8 to both sides)
<span><span>1.26y</span>=<span>−6.3
</span></span><span><span><span>1.26y</span>1.26</span>=<span><span>−6.3</span>1.26 *</span></span>Divide both sides by 1.26*
<span>y=<span>−5
</span></span>Step: Substitute <span>−5 </span>for yi n <span><span>x=<span><span>0.2y</span>−1</span></span>:
</span><span>x=<span><span>0.2y</span>−1
</span></span><span>x=<span><span><span>(0.2)</span><span>(<span>−5</span>)</span></span>−1
</span></span><span>x=<span>−2 *</span></span><span>Simplify both sides of the equation*</span>
Answer:
131.6
Step-by-step explanation:
658/5=131.6 in
