Answer:
|SQ|=5
Step-by-step explanation:
If S is the median, then OP is a median of triangle OMN.
This implies that:
|MP|=|NP|
We group like terms and solve for x.
Now we know that: MN:SQ=2:1
But MN=2x+2
This implies that:
2x+2:SQ=2:1
Put x=4
2(4)+2:SQ=2:1
10:SQ=2:1
Therefore |SQ|=5
It
is given that the two figures are similar. This means that mV is equal to mN,
mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle
is equal to 180 degrees.
<span> mV + mW + mX = 180</span>
Substituting
the known variables and the conditions given in the description of the similar
triangles,
<span> 44 + mW + 66 = 180</span>
<span>The
value of mW in the equation is 70 degrees. </span>
Well for the first one, that is presumably a straight line and straight lines all have 180 degrees. So you add 61 and 23 to get 84 and subtract that from 180. You then get 96 degree.
For the second one corresponding angles on a transversal are congruent so x+95=4x-10 and then you solve the equation.;
For the third one you need to make the change from 9 to 12 be the same as the change from 3 to t. 9 to 12 is 4/3 so 3 times 4/3 is 4. t=4
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1:SPLIT THE MID FACTOR
<span>X^2+8X+12
</span><span> X^2+6X +2X+12 [12=6*2
</span><span> 8=6+2
</span>
2:TAKE COMMON FACTORS FROM 1ST TWO AND <span>LAST TWO FACTORS
</span><span>X^2+6X +2X+12 EQUALS
</span><span>X(X+6) + 2(X+6)
</span>
<span>3: TAKE (X+6) AS COMMON FACTOR
</span><span> X(X+6)+2(X+6) EQUALS
</span><span>(X+6) {X+2}</span>
