Answer:
<h2><em><u>Option</u></em><em><u> </u></em><em><u>B</u></em></h2><h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>50</u></em><em><u>°</u></em><em><u> </u></em></h2>
Step-by-step explanation:
<em><u>By</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>condition</u></em><em><u>, </u></em>
25° + 105° + x = 180° <em>[</em><em>Angle</em><em> </em><em>sum</em><em> </em><em>property</em><em> </em><em>of</em><em> </em><em>triangle</em><em>]</em>
=> 130 + x = 180
=> x = 180 - 130
=> <em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>50</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
<span>
The correct answer is: Option (A) </span>
<span>
Explanation:
If both lines are parallel, then their slopes must be equal.
For the line PQ, the slope is:
Slope of PQ = </span>
--- (1)
For the line P'Q', the slope is:
Slope of P'Q' =
Slope of P'Q' =
--- (2)
As (1) = (2), hence the lines are parallel and their slope is
(Option A).
Answer:
q = 7
Step-by-step explanation:
4q + 9 = 37
If a letter and a number are together it means multiply.
<em>Substitute 7 into the equation:</em>
4(7) + 9 = 37
28 + 9 = 37
So q must equal 7
Answer:
x = 8
Step-by-step explanation:
The measure of an arc is equal to the angle at the centre subtended by the arc.
The sum of the 3 arcs = 180° , then
5x + 6 + 83 + 51 = 180
5x + 140 = 180 ( subtract 140 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8
To solve this problem we will use the pythagorean theorem a^2+b^2=c^2
all we have to do is add 12^2+35^2=45^2
