First, we have to figure out the angles on the interior of the triangles. Since the 90° angle and the angle next to it form a straight line, we know that they are supplementary and add up to 180°. We would then subtract 90° from 180° to find the value of that angle, which comes out to be 90°. Next, since the angle measuring 125° and the angle next to it are supplementary, we would repeat the same procedure: 180° - 125° = 55°. Now that we know the values of two of the interior angles of the triangle, we can solve for the third. The angles of a triangle should add up to 180°, so we can solve for <em>p</em> like this:
90 + 55 + <em>p</em> = 180
145 + <em>p</em> = 180
<em>p </em>= 180 - 145
<em>p</em> = 35
The value of <em>p</em> <em />is 35°.
Answer:
36
Step-by-step explanation:
b= √(c²-a²)
b= √(45²-27²)
b= √(2025-729)
b= √(1296)
b= 36
Answer:
150
Step-by-step explanation:
The terms in the sequence form an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
2 + 3(n - 1) = 449
2 + 3n - 3 = 449
3n - 1 = 449 ( add 1 to both sides )
3n = 450 ( divide both sides by 3 )
n = 150