Let's solve for x.<span><span><span><span>3x</span>y</span>−<span>2x</span></span>=17
</span>Factor out variable x.<span><span>x<span>(<span><span>3y</span>−2</span>)</span></span>=17</span> Divide both sides by 3y-2.<span><span><span>x<span>(<span><span>3y</span>−2</span>)</span></span><span><span>3y</span>−2</span></span>=<span>17<span><span>3y</span>−2</span></span></span><span>x=<span>17<span><span>3y</span>−2</span></span></span>Answer:<span>x=<span>17<span><span>3y</span>−<span>2
</span></span></span></span>
<span>Answer:
Let P be the proportion of correct results of all polygraph results
H0: P ≥ 0.80
Ha: P < 0.80
Estimated p = 74 / 98 = 0.7551
Variance of proportion = p*(1-p)/n
= 0.8(0.2)/98 =0.0016327
S.D. of p is sqrt[0.001633] = 0.0404
z = ( 0.7551 - 0.8 ) / 0.0404 = -1.1112
P-value = P( z < -1.1112) = 0.1335
Since the p-value is greater than 0.05, we do not reject the null hypothesis. Based on the results there is no evidence that polygraph test results should be prohibited as evidence in trials.</span>
C) 18 is your answer
Hope this brings you luck ^o^ ^_^
The missing justification in Julia's angle proof is; Corresponding Angles Theorem
<h3>What is the angle theorem used?</h3>
We know that m∠AGE ≅ m∠HGB because they have congruent angles and are vertical angles.
Similarly, m∠HGB ≅ m∠CHE are alternate interior angles because two congruent angles on the inner side of the parallel lines are formed by a transversal.
In the diagram, m∠AGE ≅ m∠CHE would have to be corresponding Angles Theorem because parallel lines cut by a transversal would create congruent corresponding angles. That means a pair of angles on the same side of one of two lines that is cut by a transversal and on the same side of the transversal.
Read more about Angle theorem at; brainly.com/question/24839702
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Answer:
Area of parallelogram= base × perpendicular height
base= 20cm height= 13
Area= 20cm×13cm
Area= 260cm²
Therefore the area of the parallelogram is 260cm²
