Answer:

Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:

The only correct option is the probability of B which is 
Horizontal, it’s below a 1/2 slope.
The correct answer is: [C]: " 5 " .
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→ " a = 5 " .
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Explanation:
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Given: " a + 1 <span>− 2 = 4 " ; Solve for "a" ;
4 + 2 = 6 ;
6 </span>− 1 = 5 ; → a = 5 ;
To check our work:
5 + 1 − 2 = ? 4 ?? ;
5 + 1 = 6 ;
6 − 2 = 4. Yes!
So the answer is: [C]: " 5 ".
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→ " a = 5 " .
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Answer:
Option A is correct.
Step-by-step explanation:
If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.
The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T
Therefore, according to the property of similar triangles we can write that
.
Therefore, option A is correct.
<span><em />
3x+y=5</span>
<span /><span>2x-2y=22 ...............2(x-y)=22 ⇒ x-y=11</span><span><em /></span>
<span><em>3x+y=5</em></span>
<span /><span><em><u>x-y=11 </u> </em>(+)</span>
<span />3x+x+y-y=11+5
<span>4x=16 /:4</span>
<span /><em>x=4</em>
x-y=11
4-y=11
-y=7 /*(-1)
<em>y=-7</em>
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